PAPER 11
PAPER 11A
QUESTION
Write down the value of the 3 in the number 131162 in words.
QUESTION
Calculate the following: 0.8\div 0.02
QUESTION
What is 35\% of 400 m?
QUESTION
Work out an estimate for:
\dfrac{30.11+19.3}{2.22\times5.23}QUESTION
******************* IMAGE *******************
Draw the plan elevation of the above 3D shape.
QUESTION
Work out 50\times600\div20
QUESTION
What is \, \dfrac{6}{5} + \dfrac{6}{2}
Give your answer as an improper fraction.
QUESTION
What is the value of (2a+ab)^2-5ab when a=2 and b=3
QUESTION
Express 0.58 as a fraction in its simplest form.
QUESTION
Steve drove at 30 mph for 30 minutes.
If he travels at 60 mph over the same distance, how long would it take?
QUESTION
The value of a tech stock increases by 12\%. The stock was originally bought for £150. What is its new value?
QUESTION
Work out 5\times 3 + 3 \times 6
QUESTION
Plot the coordinate (11,6) on the graph below.
******************* IMAGE *******************
QUESTION
A science experiment takes 1 hour and 20 minutes for a teacher to perform in front of a class. With the aid of an assistant, he can complete the experiment in 40\% less time. How long does it take him to complete the experiment with the help of an assistant? Give your answer in minutes.
QUESTION
What is 90\% of 60 litres?
PAPER 11B
QUESTION
What is the number in the tenths position in 618.507?
QUESTION
A painter increases his charges by 6\% to £21.20 per hour.
How much did he charge before the increase?
QUESTION
A printer charges 8p to copy one page.
A student pays £4.56 to copy their project.
How many pages is the students project?
QUESTION
What is \dfrac{13}{20} as a percentage?
QUESTION
******************* IMAGE *******************
Describe the nature of the correlation shown in the scatter graph.
QUESTION
The mean length of 7 planks of wood is 1.35 m. When an extra plank of wood is added, the mean length of a plank of wood increased to 1.4 m.
What is the length of the extra plank of wood that was added?
QUESTION
£1000 is deposited into a savings account that pays 0.5\% compound interest per annum.
How much is in the saving account after 4 years?
QUESTION
A semicircle is cut out of a square piece of wood shown below.
The square has a length of 10 cm
The diameter of the circle is 8 cm
******************* IMAGE *******************
Find the perimeter of the shape above.
Give your answer to 2 decimal places.
QUESTION
The diagram below shows a cuboid.
Width is 6 cm
Height is 3 cm
Length is x cm
The cuboid is made from wood and has a mass of 233.1 g.
The density of wood is 1.85 g\cm^3.
******************* IMAGE *******************
Calculate the volume of the cuboid and hence find the missing length x of the cuboid.
QUESTION
A group of students were asked how many brothers and sisters they had. Their answers are recorded in the table below.
******************* IMAGE *******************
If a student is chosen at random, find the probability that the student will be an only child.
Give your answer as a fraction in its simplest form.
QUESTION
A pizza with the size of 12 inches in diameter has been cut into 8 slices.
What is the area of of each slice of pizza?
Give your answer correct to 2 decimal places.
QUESTION
John is paid on the first day of every month.
He aims to spend \dfrac{1}{3} of his pay on food and \dfrac{1}{4} of his pay on rent.
What fraction of his pay will John have left?
Write your answer in its simplest form.
QUESTION
During a sale a shop sells 60\% of its Laptops. 50 laptops remain once the sale has ended.
How many did he have in stock to begin with?
QUESTION
When Jimmy decides to go to the cinema, he will either go to watch a sci-fi movie, a horror
movie, or a romantic comedy.
The probability he chooses a romantic comedy is 0.56. There is an equal chance that he picks a
horror movie or a sci-fi movie.
Find the probability Jimmy choose a sci-fi movie or a romantic comedy
QUESTION
Fifty students were asked how many books they each took to school on Monday.
The results are summarized in the table below.
******************* IMAGE *******************
Calculate the mean number of books that students took to school.
PAPER 11 ANSWERS
1 – Thirty thousand
2 – 40
3 – 140 m
4 – \frac{50}{10} = 5
5 – ******************* IMAGE *******************
6 – 1500
7 – \frac{21}{5}
8 – 70
9 – \frac{29}{50}
10 – 30 mph \times \, 0.5 hrs = 15 miles
\dfrac{15}{60} = 0.25 hrs = 15 mins
11 – £168
12 – 33
13 – See graph
14 – 48 minutes
15 – 54 litres
******************* IMAGE *******************
1 – 5
2 – £21.20 \div 1.06 = £20
3 – 57 pages
4 – 65\%
5 – C: Weak positive correlation
6 – 7 \times 1.35 m = 9.45 m
8 \times 1.40 m = 11.2 m
11.2 m - \, 9.45 m = 1.75 m
7 – 1000 \times 1.005^4 = £1020.15
8 – Perimeter =10 +10 + 10 +1 + 1 +(\frac{1}{2} \times \pi \times 8)=32+ 4\pi=44.56637 =44.57 cm
9 – Volume = x \times 3 \times 6 = 18x cm^3
233.1 \div 1.85 = 126 cm^3
x = 126\div 18 = 7 cm
10 – Number of brother and sisters = 0
Number of students = 4
Probability = \frac{4}{30} = \frac{2}{15}[latex]</p> <p>11 -</p> <p>[latex]12\div 2 = 6 inches
A= \pi \times 6^2=36\piFor the area of the Slice:
36 \pi \div 8 = 4.5 \pi = 14.14 inches^2
12 - \frac{1}{4}+\frac{1}{3} = (\frac{1}{4}\times \frac{3}{3})+(\frac{1}{3}\times \frac{4}{4})
\frac{1}{4}+\frac{1}{3}=\frac{4}{12}+\frac{3}{12}=\frac{7}{12} 1-\frac{7}{12}=\frac{5}{12}13 - 50 \div 0.4 = 125 laptops
14 -
1 - 0.56 = 0.44
The probability of watching a sci-fi movie is 0.22
The probability of watching a romantic comedy is 0.56
0.22 + 0.56 = 0.7815 - 2.52
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PAPER 12
PAPER 12A
QUESTION
What is 8\% of 40 km?
QUESTION
Write the value of the 2 in the number 0.162 in words.
QUESTION
What is 1\dfrac{5}{7}+\dfrac{4}{3}
Give your answer as an improper fraction.
QUESTION
******************* IMAGE *******************
What is the name of the 3D shape can be created with the 2D net shown above?
QUESTION
Work out an estimate for:
\dfrac{20.2\times99.5}{10.11-5.95}QUESTION
Work out \dfrac{3-(18 \div 6)^2}{-2}
QUESTION
Data set A has a median value of 18.6
Data set B is comprised of 7 data points:
12, 17, 29, 16, 33, 8, 22
Calculate the median of set B.
Write a statement comparing the median values of the two data sets.
QUESTION
Write the numbers in increasing order starting with the smallest.
half a million, two hundred thousand, fifty five thousand, nine hundred thousand, quarter of a million
QUESTION
What is 2.5\% of 140 g?
QUESTION
******************* IMAGE *******************
Draw the front elevation of the 3D shape.
QUESTION
A statue with a volume of 3 m^3 is carved out of Mahogany, which has a density of 50 kg/m^3.
Calculate the mass of this statue in kg.
QUESTION
What is \dfrac{1}{3} of 33?
QUESTION
This is a conversion graph between cm and inches.
******************* IMAGE *******************
Using the conversion graph, what is 15 cm in inches?
QUESTION
Calculate the value of x^3\times2-8^2\div2+3^2-10^2 when x = 5
QUESTION
Plot the coordinate (4,8) on the graph below.
******************* IMAGE *******************
PAPER 12B
QUESTION
Write the following number with numerals:
eight hundred and, four hundredths and one thousandths
QUESTION
It takes 4 people 2 days to build a wall.
How long would it take if only 2 people to build the same wall?
Give your answer in days.
QUESTION
What is \dfrac{14}{9}+\dfrac{5}{3}
Give your answer as an mixed number fraction.
QUESTION
Circle the greatest decimal from the options below.
7.9666, \,\,\,\, -7.8999, \,\,\,\, 8.065, \,\,\,\, -8.059,\,\,\,\, 8.049QUESTION
A student sits 2 maths tests; a calculator paper and a non-calculator paper. Each test is out of 20. If the student scores 18 on the calculator test, and 14 on the non-calculator test, what is their percentage score across both papers, if each paper is equally weighted?
QUESTION
A collectors car gains 4\% of its value every year. In 2019, the car is worth £12000
How much will the car be worth after 2 years in 2021?
QUESTION
The diagram shows a plan of some cardboard packaging.
Calculate the total area of the cardboard used.
******************* IMAGE *******************
QUESTION
Jack is making concrete using cement, sand and gravel in the ratio 1 : 2 : 4
He has: 39 kg cement, 112 kg sand and 204 kg gravel
What is the maximum amount of concrete that Jack can make?
QUESTION
Samantha is investigating how many minutes it takes people to complete a puzzle.
She records their times below.
14, 17, 27, 11, 19, 14, 18, 13, 23, 25Calculate the mean and range for this data set.
QUESTION
The diagram shows a spherical glass paperweight with a radius,r, of 4 cm.
******************* IMAGE *******************
The density of glass is 8 g/cm^3. Volume of a sphere = \dfrac{4}{3}\pi r^3
Calculate the mass of the paperweight.
Give your answer correct to 3 significant figures.
QUESTION
A bus company is looking to survey the age of its passengers. It decides to take a sample
by recording the number of adult and children that are passengers on the same 8 am route on
nine separate occasions.
******************* IMAGE *******************
Draw a scatter graph to show the numbers of adults and the number of children taking the bus.
Does this data include any outliers? If so, circle the outlier and use a line of best fit to estimate a more likely corresponding value.
******************* IMAGE *******************
QUESTION
Daniel cycles to university 5 days a week. He takes the same route every day and his journey
to university takes 45 minutes at an average speed of 16 mph.
Given that he returns via the same route, determine how many miles he cycles in one week between home and university.
QUESTION
A group of students were asked how many brothers and sisters they had. Their answers are
recorded in the table below.
******************* IMAGE *******************
If a student is chosen at random, find the probability that the student will only have one sibling.
Give your answer as a fraction in its simplest form.
QUESTION
There are 16600 fans at a football match.
40\% of the fans in attendance support the away side.
How many fans there support the away side?
QUESTION
Tom’s Grandma has £60 to give to her four grandchildren.
Tom gets \frac{1}{3} of the amount,
Alice gets 0.25 of the amount,
John gets 20\% of the amount
and Susan gets the rest.
Who receives the least amount of money?
You must show your working.
PAPER 12 ANSWERS
1 - 3.2 km
2 - Two thousandths
3 - \frac{64}{21}
4 - cuboid
5 - \frac{2000}{10-6} = 500
6 - 3
7 - The median of Data set B is 17.
This shows that Data set A has a higher median than Data set B.
8 - fifty five thousand, two hundred thousand, quarter of a million, half a million, nine hundred thousand
9 - 3.5 g
10 - ******************* IMAGE *******************
11 - \text{Mass}=\text{volume} \times \text{density} = 3\times50=150 kg
12 - 11
13 - 15 litres = 6 inches
14 - 127
15 - See graph
******************* IMAGE *******************
******************* IMAGE *******************
1 - 800.041
2 - 4 people \times 2 days = 8 days of total work
for 2 people it would take 4 days
3 - 3\frac{2}{9}
4 - 8.065
5 - 80\%
6 - £12979.20
7 - Rectangle ABCD : Area =5\times7=35 cm^2
Rectangle CEFG : Area =6\times9=54 cm^2
Triangle DCG : Area = \frac{1}{2} \times 5\times9=22.5 cm^2
Total Area = 35+54+22.5=111.5 cm^2
8 - 39 \times 7 = 273 kg
9 - Mean = 181 \div 10 = 18.1 minutes
Range = 27 – 11= 16 minutes
10 - Volume = \frac{4}{3} \pi \times 4^3 = 268 cm^3
Mass = 8 \times 268 =2140 g
11 - When there are 8 adults on the bus there is more likely to be 8 children on the bus than 1
Outlier is at (8,1)
12 -
\text{distance}=\text{speed}\times\text{time} =16\times\frac{3}{4}=12 miles
12\times10=120 miles
13 -
Number of brother and sisters = 1
Number of students = 12
Probability = \frac{12}{30} = \frac{2}{5}
14 - 6640 fans
15 - Tom=£20, Alice=£15 John =£12, Susan=£13
So John gets the least
******************* IMAGE *******************
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PAPER 13
PAPER 13A
QUESTION
Write in digits one hundred, sixty four thousand, one hundred and fourteen.
QUESTION
Write the numbers in increasing order starting with the smallest.
7,\,\,\,\, -8,\,\,\,\, 3, \,\,\,\, -1, \,\,\,\, -4QUESTION
What is 1\dfrac{2}{7}+2\dfrac{3}{2}.
Give your answer as an improper fraction.
QUESTION
What is 1\dfrac{1}{4} of 124?
QUESTION
Calculate the following: 0.09\times 0.4
QUESTION
******************* IMAGE *******************
What is the name of the 3D shape that can be created with the net shown?
QUESTION
A cube has sides of length 20 cm and a mass of 5 kg.
Find the density of this cube, in g/cm^3.
QUESTION
Work out 11+11 - 6^2 \div 2
QUESTION
Orla sells 1509 books at a cost of £5.95
Estimate the total amount of money Orla has made from selling her books.
QUESTION
Plot the coordinate (9,4) on the graph below.
******************* IMAGE *******************
QUESTION
Write the lengths of time in increasing order starting with the smallest.
0.75 hours , \,\,\,\, 25 minutes, \,\,\,\, 100 minutes \,\,\,\, 2 hours, \,\,\,\, 1.5 hours
QUESTION
The formula F = 1.8C + 32 \, can be used to convert between Celsius and Fahrenheit.
What is the temperature in Celsius given that it is 86\degreeF.
QUESTION
******************* IMAGE *******************
Using the diagram, find the distance of Flamborough from Easingwold.
Give your answer to the nearest 5 km.
QUESTION
Calculate 10.76-8.9
QUESTION
A pair of jeans has \dfrac{1}{3} off during a sale.
Given that the original price of the jeans was £45.
Work out the sale price.
PAPER 13B
QUESTION
Work out 6\times 1.8^2
Give your answer as a decimal rounded to 2 decimal places.
QUESTION
Work out the percentage increase from 1950 to 3250
QUESTION
What is the decimal equivalent to \dfrac{1}{16}
QUESTION
What is the number in the hundredths position in 725.910?
QUESTION
******************* IMAGE *******************
Which of the following plan views accurately represents the 3D shapes shown?
Answer type: Multiple choice type 1
A: ******************* IMAGE *******************
B: ******************* IMAGE *******************
C: ******************* IMAGE *******************
QUESTION
Ellie invests £5000 for 3 years.
The investment earns 2\% compound interest per annum.
Work out the value of the investment at the end of 3 years.
QUESTION
A student decides to raise money for charity by selling homemade lemonade on three Weekends. The number of lemonade sales the student made each week are recorded in the bar chart below.
******************* IMAGE *******************
What percentage of the total lemonade sales were made in week 2?
QUESTION
A couple are doing their weekly fruit shop for their family. In their basket they have apples, oranges and bananas. There are 8 apples in the basket in total. If the ratio of apples in the basket to oranges in the basket is 2:3 and the ratio of oranges in the basket to bananas in the basket is 4:5, how many bananas are in the basket?
QUESTION
An estate agent earns 2\% commission on each property sold.
How much do they earn selling a house for £350000?
QUESTION
******************* IMAGE *******************
Draw a line of best fit for the scatter graph.
Hence estimate the number of cinema visits during 2008
QUESTION
Samantha is investigating how long it takes people to complete a puzzle .
She records their times below.
14, 17, 27, 11, 19, 14, 18, 13, 23, 25Calculate the mean and range for this data set.
QUESTION
What is \dfrac{8}{11} +\dfrac{1}{2} - \dfrac{1}{11}
Give your answer as a mixed number fraction.
QUESTION
The final grades achieved by 80 year 11 pupils in their summer biology and chemistry examinations have been recorded in the chart below.
What fraction of the students achieved a level 5 in biology? Give your answer in its lowest terms.
******************* IMAGE *******************
QUESTION
The diagram shows a wooden block with density 0.57 g/cm^3
******************* IMAGE *******************
Calculate the mass of the cube.
Give your answer in grams.
QUESTION
ABCD has a perimeter of 64 m.
******************* IMAGE *******************
Calculate the length of AB[latex].</p> <p>PAPER 13 ANSWERS</p> <p>1 - 164114</p> <p>2 - [latex]-8,\,\,\,\, -4,\,\,\,\, -1, \,\,\,\, 3, \,\,\,\, 7
3 - \frac{67}{14}
4 - 155
5 - 0.036
6 - triangular based pyramid
7 - \text{Density} = 5000 \div 20^3 = 0.625 g/cm^3
8 - 4
9 - £9000
10 - see graph
11 - 25 mins, \,\,\,\, 0.75 hours, \,\,\,\, 1.5 hours, \,\,\,\, 100 mins, \,\,\,\, 2 hours
12 - 30\degreeC
13 - 120 km
14 - 1.86
15 - £30
******************* IMAGE *******************
1 - 19.44
2 - 66.67\% (accept 166.67\%)
3 - 0.0625
4 - 1
5 - B: ******************* IMAGE *******************
6 - £5000 \times 1.02^3 = £5306.04
7 - 45\%
8 - 15 bananas
9 - £7000
10 - Number of cinema visits \approx 10 \pm1
11 - Mean = 181 \div 10 = 18.1 minutes
Range = 27 – 11= 16 minutes
12 - 1\dfrac{3}{22}
13 - \frac{9}{40}
14 - Volume = 3 \times 4 \times 5 = 60 cm^3
\text{Mass} = \text{Density} \times \text{Volume} = (0.57 g/cm^3) \times (60 cm^3) = 34.2 g
15 - 16 m
******************* IMAGE *******************
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PAPER 14
PAPER 14A
QUESTION
Write the following number with numerals: seventy two and four thousandths.
QUESTION
Write the following numbers in order, starting with the smallest, given that x is a positive integer greater than 2/latex]</p> [latex]\dfrac{1}{x},\,\,\,\, 3x,\,\,\,\, 2x,\,\,\,\, x
QUESTION
What is 45[latex] as a fraction of [latex]300? Give your answer in its simplest form.
QUESTION
Jake is buying tiles for his floor.
His floor is 5.88 m \times \, 7.96 m.
Estimate the area of Jake’s floor.
QUESTION
The cost of hiring a boat on holiday is calculated using the formula,
Hire Cost = (15 \, \times Number of hours) + 45
Calculate the cost of hiring a boat for 3 hours, in £.
QUESTION
******************* IMAGE *******************
What 3D shape can be created with the net shown?
QUESTION
What is the decimal equivalent to \dfrac{3}{8} ?
QUESTION
Sammy runs half a mile and records his time at 6.22 minutes.
Estimate how long it would take for Sammy to run 10 miles.
QUESTION
Calculate the following: 6.06\times 1.5
QUESTION
******************* IMAGE *******************
Describe the correlation of the data shown in the scatter graph.
QUESTION
Calculate (17-4^2)^2 +3 \times 5
QUESTION
What is 3.5 m^2 equivalent to in cm^2 ?
QUESTION
An American car has a top speed of 120 mph.
This car is exported to France so needs to have its speedometer change to km/h.
If 1 mile = 1.6 km, what will its top speed be in km/h?
QUESTION
At the current exchange rate, 1 pound is equivalent to 1.25 dollars. How much is 30 dollars worth in pounds?
QUESTION
Evaluate [(3^3 - 2^3 )+5]\div6
PAPER 14B
QUESTION
What is the number in the hundredths position in 419.357 ?
QUESTION
Work out 5.2^2+1.8^2
Give your answer as a decimal to 2 decimal places.
QUESTION
Esther has baked 40 cookies. 20\% of the cookies are chocolate. \dfrac{1}{4} of the cookies are blueberry.
0.3 of the cookies are lemon. The rest are plain.
How many cookies are plain?
QUESTION
108 identical textbooks have a mass of 30 kg. The books are packed in boxes weighing 20 kg.
How many books are there in each box?
QUESTION
The cost of hiring a bike for a number of days is calculated using the formula,
Hire Cost = (8 \, \times Number of Days) + 25
Laura hired a bike for a total of £129. Work out the number of days she hired a bike for.
QUESTION
******************* IMAGE *******************
Find the perimeter of the compound shape.
QUESTION
Data set A has a median value of 12.3
Data set B is comprised of 7 data points:
12, 17, 29, 16, 3.3, 8, 22
Calculate the median of set B.
Write a statement comparing the median values of the two data sets.
QUESTION
The current exchange rate between the British Pound and the Chinese Yuan is £1 = ¥8.80
The cost of a large stuffed panda toy is ¥154
The total cost for international shipping is ¥132 when you buy less than 10 pandas, every panda more costs ¥20 extra.
Given that the customs charge a 10\% import fee based on the value of a shipment’s contents, what is the total cost to buy 5 large stuffed panda toys, in pounds?
QUESTION
A student wishes to calculate his final percentage mark for his two geography tests that he sat in class. Each test was out of a maximum of 100 marks. Test 1 carries a 40\% weighting and test 2 carries a 60\% weighting.
******************* IMAGE *******************
Using the formula above, what was the final \% mark that the student achieved?
QUESTION
A house bought for £135000 increases in price at a rate of 7\% per year.
Work out the value of the house in 2 years time.
QUESTION
The T shape below is made from two identical rectangles. Use the information in the diagram to calculate the total area of the T shape below:
******************* IMAGE *******************
QUESTION
******************* IMAGE *******************
Draw a line of best fit for the scatter graph.
Hence, predict the English score for another student who scored 80\% on their maths paper.
QUESTION
There are 150 pupils in a primary school.
8\% of the pupils are left handed.
Work out the number of pupils that are left handed.
QUESTION
Calculate the volume of the cuboid below:
******************* IMAGE *******************
QUESTION
A sunflower grows 12\% taller each week. Currently the sunflower is 2 m tall.
Chris estimates the height after 5 weeks using the following calculation:
12\% of 2 m is 24 cm
5 \times 24 cm = 120 cm
So the plant is 200 cm + 120 cm = 320 cm
Is Chris’ estimate an over-estimate or under-estimate?
You must provide calculations to support your answer.
PAPER 14 ANSWERS
1 - 72.004
2 - \frac{1}{x},\,\,\,\, x,\,\,\,\, 2x,\,\,\,\, 3x
3 - \frac{3}{20}
4 - 6 \times 8 = 48 m^2
5 - £90
6 - Cube
7 - 0.375
8 - 6 \times 20 = 120 minutes
9 - 9.09
10 - There is a \textbf{strong positive correlation} between the number of hours studied and their Maths score.
11 - 16
12 - £24
13 - 192 km/h
14 - 7.24
15 - 4
1 - 5
2 - 30.28
3 - 25\% are plain, so there are 10 plain cookies
4 - \frac{108}{30} \times 20 = 72 books
5 - 13 days
6 - Perimeter =45+200+135+65+(135-45)+(200-65) =670 cm
7 - The median of Data set B is 16.
This shows that Data set B has a higher median than Data set A.
8 - 5 \times 154 = ¥770
770 \times 1.10 = ¥847 847 + 132 = ¥979 979 \div 8.80 = £111.259 - 55.2\%
10 - £154561.50
11 - 52.5 cm^2
12 - 73\pm2\%
13 - 12 pupils
14 - Volume = 200 cm^3
15 - Underestimate
2 \times 1.12^5 =3.52 m
******************* IMAGE *******************
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PAPER 15
PAPER 15A
QUESTION
Estimate 48.8 \times 5.1 \times 6.9
QUESTION
What is 40\% of 24 hours?
QUESTION
What is the decimal equivalent to \dfrac{1}{8} ?
QUESTION
The cost of hiring a bike for a number of days is calculated using the formula,
Hire Cost = (8 \, \times Number of Days) + 25
Calculate the cost of hiring a bike for 7 days, in £.
QUESTION
Work out \dfrac{5}{6}-\dfrac{3}{8} in its simplest form.
QUESTION
Evaluate (2\times3-4)\div5
QUESTION
Calculate the following: 56.21-9.73
QUESTION
An Amazon driver has been requested to deliver goods to a house 30 miles away from the depot.
It takes the Amazon driver 30 minutes to deliver the goods.
Calculate the average speed of the delivery driver for this journey.
QUESTION
This is a conversion graph between cm and inches.
******************* IMAGE *******************
Using the conversion graph, what is 15 cm in inches?
QUESTION
Sally buys a house for £200 000
She later sells the house for £220 000
Calculate the percentage profit Sally makes.
QUESTION
******************* IMAGE *******************
Draw the side elevation of the 3D shape shown.
******************* IMAGE *******************
QUESTION
******************* IMAGE *******************
What 3D shape can be created with the net shown?
QUESTION
In a class of 24 people, 18 people pass a Maths test. What proportion of the class did not pass the Maths test? Give your answer as a fraction in its simplest form.
QUESTION
Evaluate 8\times9-49\div7-3\times1+3\times3
QUESTION
Calculate the following: 2.4\div 0.08
PAPER 15B
QUESTION
Work out \sqrt{6}\times 1.8^2
Give your answer as a decimal rounded to 2 decimal places.
QUESTION
The cost of printing for students is given as:
Cost in pence = 4 \times \text{number of black and white pages} + 10 \times \text{number of colour pages}
Work out how much a booklet of 30 black and white pages, and 10 colour pages will cost to print.
Give your answer in pounds.
QUESTION
Sarah is saving a portion of her pocket money each month.
In March she saves £9.39
In April she saves £12.02
In May she saves £14.88
Work out how much she has saved in total over the three months.
QUESTION
The normal price of a train ticket is £38.40
Students gets \dfrac{1}{3} off the price of his train ticket.
Work out how much a student pays for their ticket.
QUESTION
What is 36 hours equivalent to in seconds ?
QUESTION
Four friends order pizza from a take away. The amount of pizza each person eats is shown below.
Matthew eats 0.8 of a pizza
Lily eats \dfrac{3}{4} of a pizza
George eats 77\% of a pizza
Sam eats 82\% of a pizza
Which person eats the most pizza? You must show your working.
QUESTION
A person wishes to post a package that weighs 6.5 lb.
When they get to the post office, they’re told that the first 2 kg cost £10 to post, and every interval of 500 g over will cost an additional £2
If 1 lb = 453 g, how much will it cost to post the package?
QUESTION
******************* IMAGE *******************
ABCD is square with an area of 64 m^2.
Calculate the perimeter of ABCD.
QUESTION
******************* IMAGE *******************
Draw the shape on the 1 cm by 1 cm grid at a scale of 1 : 30 cm
******************* IMAGE *******************
QUESTION
The diagram shows the outline of a cuboid, ABCDEFGH.
Given that: AB=3 cm, BC=12 cm, and CF=16 cm.
******************* IMAGE *******************
Find the volume of the cuboid.
QUESTION
The table below displays the time taken by students to complete an event on a school sports day.
******************* IMAGE *******************
What proportion of students completed the event in 2 minutes or under? Give your answer as a decimal correct to two decimal places.
QUESTION
Ruth is on holiday in Spain.
She spends €85.50 in a restaurant.
The exchange rate is £1 = €1.20
Calculate how much she spends in pounds (£).
QUESTION
Laura bought a house for £300 000
In the first year the house price increased by 3\%
In the second year the house price increased by 4\%
In the third year the house price depreciated by 5\%
Work out the price of the house at the end of the third year.
QUESTION
Simplify 2.3 kg : 700 g : 1.8 kg
QUESTION
If 5 housemates get through 1.5 litres of milk per day, how much milk will they need for 2 days when 3 friends stay for the weekend?
PAPER 15 ANSWERS
1 - 50 \times 5 \times 7 = 1750
2 - 9.6 hours
3 - 0.125
4 - £81
5 - \frac{11}{24}
6 - \frac{2}{5}
7 - 46.48
8 - \text{Speed} = \frac{30}{0.5}=60 mph
9 - 15 cm = 6 inches
10 - 10\%
11 - See drawing
12 - Cube
13 - \frac{1}{4}
14 - 71
15 - 30
******************* IMAGE *******************
1 - 7.94
2 - £2.20
3 - £36.29
4 - £25.60
5 - 129600 seconds
6 - 0.8 = 80\% and \frac{3}{4} = 75\%
Sam eats the most, since 82\% is the biggest.
7 - 6.5 \times 453 = 2944.5 g
The first 2 kg costs £10
Then there are 2 intervals of 500 g over, which costs £4
Total = £14
8 - x^2=64, x=8. Therefore, the perimeter of the square is, 8+8+8+8=32 m
9 - See drawing
10 - Volume = 3\times12 \times16=576 cm^3
11 - 0.47
12 - 85.50 \div 1.20 = £71.25
13 - 300000 \times 1.03 \times 1.04 \times 0.95 = £305292
14 - 23 g : 7 g : 18 g
15 - 2 \times \frac{1.5}{5} \times 8 = 4.8 litres
******************* IMAGE *******************
******************* IMAGE *******************
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PAPER 16
PAPER 16A
QUESTION
Estimate 901.3 \div 61.01
QUESTION
A car takes 15 minutes to travel 24 miles.
Find the average speed the car was traveling at.
QUESTION
Work out the value of \dfrac{2}{9}\times\dfrac{7}{4} in its simplest form.
QUESTION
Calculate the following: 48.03-21.20
QUESTION
If the probability of passing the driving theory test is 0.74
What is the probability of failing it?
QUESTION
Write the ratio 18 : 63 : 9 in its simplest form.
QUESTION
What is 28 out of 80 as a percentage?
QUESTION
What is 3^4 ?
QUESTION
******************* IMAGE *******************
Find the missing angle labelled x
QUESTION
******************* IMAGE *******************
Draw the front elevation of the 3D shape shown.
QUESTION
******************* IMAGE *******************
What 3D shape can be created with the following net?
QUESTION
The distance between two countries on an in-flight map measures 5 cm.
The map has a scale of 1 cm : 50000 m
What is the actual distance between the two countries in km?
QUESTION
What is 35 metres equivalent to in millimetres?
QUESTION
Work out 7 \times (8 \div 4)^2
QUESTION
Calculate the following:
1.5\div 0.5PAPER 16B
QUESTION
******************* IMAGE *******************
Find the perimeter of the circle.
QUESTION
Calculate,
Give your answer as a decimal rounded to 2 decimal places.
QUESTION
Tommy buys a rare painting for £3200
He eventually sells it for £3800
Work out the percentage increase in value of the painting.
QUESTION
A form group of 24 students decide to purchase costumes for an end-of-term party. They all decide to purchase the same outfit from a popular online retailer as one order. The costumes are £7.50 each and there is a delivery charge of £18 for the entire order. The group apply a promotional code that gives them 30\% off the price of the costumes.
The group split the total cost between them evenly. How much did each person pay individually?
QUESTION
The ratio of girls to boys in a class is 4 : 5
What fraction of the class are girls?
QUESTION
Alex opened an account with £1150 at the Bank.
After one year, with the the bank paying interest there was £1165 in his account.
Work out, as a percentage, the interest rate.
QUESTION
Spinner A has numbers 1 to 4 on it.
Spinner B has numbers 1 to 3 on it.
Both spinners are spun and the numbers on each are added together to give a score.
What is the probability that the score will be 5?
QUESTION
In a school, the ratio of the number of students with blonde hair to the number of students with brown hair is 4:5
If there are 450 students in the school, how many of them have brown hair?
QUESTION
A carpet-fitter is laying carpet tiles in a rectangular floor which measures 7.5 m by 4.5 m.
Each carpet tile measures 50 cm by 50 cm.
How many carpet tiles will he need for the floor?
QUESTION
John scored 27 out of 42 in a Maths test and 39 out of 61 in a Science test.
Which subject did John score a higher percentage in?
QUESTION
Clara is on holiday in Italy. She spends €40 in a restaurant.
The exchange rate is €1 = £0.87
Calculate how much Clara spends in pounds (£).
QUESTION
******************* IMAGE *******************
Find the missing angle labelled x
QUESTION
******************* IMAGE *******************
Draw the plan of the following 3D shape.
******************* IMAGE *******************
QUESTION
Data set A has a median value of 8.3
Data set B is comprised of 7 data points:
12, 17, 1, 16, 3.3, 8, 22
Calculate the median of set B.
Write a statement comparing the median values of the two data sets.
QUESTION
Two tennis players have a head to head of five matches won by the first player to twenty-five matches won by the second player.
Write this ratio in its simplest form where the first number in the ratio is the amount of matches the first player has won.
PAPER 16 ANSWERS
1 - 15
2 - 24 \div 0.25 = 96 mph
3 - \dfrac{7}{18}
4 - 26.83
5 - 1-0.74=0.26
6 - 2 : 7 : 1
7 - 35\%
8 - 81
9 - 48\degree
10 - See drawing
11 - Cube
12 - 250 km
13 - 35000 mm
14 - 28
15 - 3
******************* IMAGE *******************
1 - Perimeter =2\pi r=2 \times \pi \times 2.2 = \frac{22}{5} \pi =13.823 cm
2 - 0.55
3 - 18.75\%
4 - £6
5 - \dfrac{4}{9}
6 - x=\frac{1165}{1150} - 1 = 1.304\%
7 - \dfrac{3}{12}=0.25
8 - \frac{5}{9} \times 450 = 250 students
9 - 750 \times 450 = 337500
50 \times 50 = 2500337500 \div 2500 = 135 tiles
10 - Maths score = 64.3\%
Science score = 63.9\%
So John did better in Maths
11 - £34.80
12 - Isosceles triangle, so x = 180 - 65 - 65 = 50\degree
13 - See drawing
14 - The median of Data set B is 12.
This shows that Data set B has a higher median than Data set A.
15 - 1:5
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PAPER 17
PAPER 17A
QUESTION
Find \dfrac{1}{6} of 42[latex]</p> <p>QUESTION</p> <p>Estimate [latex]199.6 \div 0.021
QUESTION
Work out \dfrac{5}{3}+\dfrac{1}{2}
QUESTION
Calculate 10.76-8.9
QUESTION
******************* IMAGE *******************
Draw the plan of the 3D shape shown.
QUESTION
A cyclist takes 10 minutes to travel 2.4 miles.
Calculate the average speed in mph.
QUESTION
What is 24 out of 75 as a percentage?
QUESTION
The formula for the force, F on a moving object is F = ma where m is the mass and a is the acceleration.
Estimate the force on an object which has mass 4.97 kg and acceleration 39.05 m/s^2
QUESTION
Convert \dfrac{4}{25} to a decimal.
QUESTION
Rosie rolled a 6-sided dice 7 times. Here are her scores.
5, 2 ,6, 1 , 4, 2, 5Work out the median score.
QUESTION
What is 100^3 ?
QUESTION
******************* IMAGE *******************
What 3D shape can be created with the net shown?
QUESTION
What is 5000 cm^3 equivalent to in litres?
QUESTION
Work out 9 + 3^2 \times 10 \div 2
QUESTION
Calculate the following: 750\div 2.5
PAPER 17B
QUESTION
Jane fills her empty car with 12 litres of petrol.
After driving for the day the car now has 7.5 litres of petrol in the tank.
Calculate the percentage decrease of petrol in the car.
QUESTION
A digital camera that originally costs £231 is sold second hand online for \dfrac{3}{7} the retail price.
How much was it sold for?
QUESTION
Work out 30.5^2-14.2^2
Give your answer as a decimal to 2 decimal places.
QUESTION
What is 81 out of 900 as percentage?
QUESTION
Aluminium has a density of 2.7 g/cm^3
Calculate the volume of a 5 g lump of aluminium.
QUESTION
James is on holiday in Japan. He stays in a hotel for 7 nights.
The hotel costs ¥10000 for each night. The exchange rate is £1 = ¥140
Calculate how much the hotel costs James in pounds.
QUESTION
Lucy is tiling her bathroom. She buys white and blue tiles in the ratio of 13:2
Blue tiles cost £2.80 whilst white tiles cost £2.35
If she buys 16 blue tiles, how much does Lucy spend on tiles in total?
QUESTION
******************* IMAGE *******************
Find the missing angle labelled x
QUESTION
******************* IMAGE *******************
Draw the front elevation of the 3D shape shown.
QUESTION
******************* IMAGE *******************
Using the diagram, find the distance of Flamborough from Birmingham.
Give your answer to the nearest 5 km.
QUESTION
******************* IMAGE *******************
Circle two of the four shapes, which have the same area.
QUESTION
******************* IMAGE *******************
Find the area of the trapezium shown in the diagram.
QUESTION
The semi-circle shown has centre O and a radius of 5 cm.
******************* IMAGE *******************
Calculate the perimeter of the semi-circle.
QUESTION
Cristiano kicks a ball at 120 km/h.
Calculate the speed of the ball in m/s.
QUESTION
Simplify the following ratio 1000 : 540 : 780
PAPER 17 ANSWERS
1 - \dfrac{1}{6}\times\dfrac{42}{1}=\dfrac{42}{6}=7
2 - 10000
3 - \frac{13}{6}
4 - 1.86
5 - See Drawing
6 - 14.4 mph
7 - 32\%
8 - 200 N
9 - 0.16
10 - 4
11 - 1 000 000
12 - Cube
13 - 5 litres
14 - 54
15 - 300
******************* IMAGE *******************
1 - 37.5\%
2 - £99
3 - 728.61
4 - 9\%
5 - 5 \div 2.7 = 1.85 cm^3
6 - 70000 \div 140 = £500
7 - The ratio is 2 parts blue to 13 parts white (2:13). Lucy buys 16 blue tiles, which is 2 parts. so,
1 part =16 \div 2=8
No. of white tiles =13\times8=104 tiles
Cost of blue tiles =£2.80 \times 16 = £44.80
Cost of white tiles =104\times £2.35=£244.40
Hence, the total cost is
£44.80+£244.40=£289.20
8 - 59\degree
9 - See drawing
10 - 50 km
11 - Shape A = \pi r^2=9\pi=28.27 cm^2
Shape B = \text{base} \times \text{height}=27 cm^2
Shape C = \frac{(\text{top} + \text{bottom})}{2} \times \text{height}=27 cm^2
Shape D = 23 cm^2
B and C are have the same area
12 - \text{Area} = \dfrac{1}{2}(10+50) \times 2.6 = 78 cm^2
13
\dfrac{1}{2}\times\pi\times10=5\pi cm
Length of base = 10 cm
Total Perimeter = 10 +5\pi = 25.7 cm
14 - 120000 \div 3600 = 33.3 m/s
15 - 50 : 27 : 39
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PAPER 18
PAPER 18A
QUESTION
Calculate the following: 6.15+15.76
QUESTION
What is 36 out of 90 as a percentage?
QUESTION
Work out \dfrac{4}{7}\times\dfrac{5}{3}
QUESTION
Convert 60 km/h into mph by using the conversion rate of 5 miles = 8 km.
QUESTION
If 200 grams of one ingredient is used in a recipe, which calls for a ratio of 4: 7 with a second ingredient, how much of the second ingredient is needed?
QUESTION
What is 2^5 ?
QUESTION
In a bracelet, the ratio of silver beads to gold beads is 5 : 2
The bracelet has 25 silver beads.
How many gold beads are in the bracelet?
QUESTION
******************* IMAGE *******************
What percentage of the shape above is shaded?
QUESTION
Write down an estimate for \sqrt40 to 1 decimal place
QUESTION
Find the value of f+f+f-f+f, when f=3.5
QUESTION
******************* IMAGE *******************
What 3D shape can be created with the net shown?
QUESTION
What is 0.06 metres equivalent to in millimetres?
QUESTION
Work out 55 - (1 + 4) \times 4
QUESTION
Calculate the following: 360\div 0.2
QUESTION
Estimate 304 \div 0.621
PAPER 18B
QUESTION
Calculate
\dfrac{10.72+\sqrt{8.1}}{3.08\times 2.8}Give your answer to 3 decimal places.
QUESTION
A student's lessons start at the time shown on the clock.
******************* IMAGE *******************
Their first lesson lasts 40 minutes.
At what time does their first lesson of the day end?
QUESTION
Look at the following list of numbers:
56 \, 52 \, 48 \, 59 \, 58 \, 51 \, 57Find the median value.
QUESTION
Find the value of 2m(m+3) when m=2
QUESTION
A student is been sponsored to cycle a distance of 50 kilometres. He travels 20 miles. How many kilometres more does he need to travel to reach his 50 kilometre target? You may use the approximation that 1 mile is 1.6 kilometres.
QUESTION
Bethany hires a car for 3 days whilst on holiday.
The hire company costs £35.50 for the first day then £28.50 for each following day.
How much does she pay in total?
QUESTION
In a drawer there are 6 blue pairs of socks, 9 yellow pairs of socks, 4 black pairs of socks and 5 white pairs of socks.
A pair of socks is taken from the drawer at random.
What is the probability that the pair of socks chosen is white?
QUESTION
Danny is on holiday in Paris.
She spends €14.50 in a cafe.
The exchange rate is £1 = €1.25
Calculate how much she spends in pounds (£).
QUESTION
******************* IMAGE *******************
Find the missing angle labelled x
QUESTION
******************* IMAGE *******************
Draw the side elevation of the 3D shape made from 6 cubes shown.
QUESTION
******************* IMAGE *******************
Using the diagram, find the distance of Crewe from Aberdeen. Give your answer to the nearest 5 km.
QUESTION
******************* IMAGE *******************}
Shown is a triangle-based pyramid.
The base of the pyramid has area 18 cm^2 and the height of the pyramid is x+5 cm^2.
The volume of the pyramid is 54 cm^2.
Work out the value of x.
QUESTION
******************* IMAGE *******************
Find the area of the parallelogram, giving your answer as a whole number.
QUESTION
Ester buys a new pair of shoes. The shoe box measures 340 mm \times \, 250 mm \times \, 120 mm.
What is the volume of the shoe box in cm^3 ?
QUESTION
The ratio of tomato to cheese that Enzo needs to make pizza is 2:3. He needs 8 parts of tomato to make 1 pizza.
How many parts of cheese does he need to make 1 pizza?
PAPER 18 ANSWERS
1 - 21.91
2 - 40\%
3 - \dfrac{20}{21}
4 - 37.5 mph
5 - 350 grams
6 - 32
7 - 10 gold beads
8 - 60\%
9 - any single decimal number between 6.1 and 6.9
10 - 10.5
11 - Cube
12 - 60 mm
13 - 35
14 - 1800
15 - 500
1 - 1.573
2 - 9.35 am
3 - 56
4 - 20
5 - 18 km
6 - £92.50
7 - \frac{5}{24}
8 - 14.50 \div 1.25 = £11.60
9 - x = 360 - 90 - 145 =125\degree
10 - ******************* IMAGE *******************
11 - \sqrt{4^2 + 4^2} = 5.66 cm, which is 55 km (nearest 5 km)
12 - \text{Volume} = \dfrac{1}{3}\times18\times(x+5)=6(x+5)
6(x+5)=54 x+5=54\div6=9x=9-5=4 cm
13 - Area = 53\times 12 = 636 cm^2
14 - 34 \times 25 \times 12 = 10200 cm^3
15 - 12
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PAPER 19
PAPER 19A
QUESTION
Calculate 6.284-3.691
QUESTION
There are adults and children in a cinema.
There are 24 adults.
25\% of the people at the cinema are children.
Work out the total number of people at the cinema.
QUESTION
Work out \dfrac{4}{5}\div\dfrac{3}{7}
QUESTION
In a class of 42 students, the ratio of male students : female students is 2 : 4
How many female students are there?
QUESTION
What is 6^3 ?
QUESTION
Write down the cube root of 27
QUESTION
******************* IMAGE *******************
What are the names of shapes A and C?
QUESTION
If x=3
Work out the value of 4x^3
QUESTION
Work out \dfrac{1}{4} of £15
QUESTION
******************* IMAGE *******************
Find the value of angle x\degree
QUESTION
******************* IMAGE *******************
What 3D shape can be created with the net shown?
QUESTION
As an experiment in a maths class a student rolls an unfair die 80 times. The die lands on six on 52 occasions. Based on this information, if he were to roll the die for a total of 200 times, how many times would we expect the die to land a six?
QUESTION
Work out 9+(5-1) \times 3
QUESTION
Emma needs to buy 30 packs of printer paper and 22 printer ink cartridges.
Each pack of printer paper costs £2.95 and ink cartridges cost £6.95 each.
Estimate how much these items will cost.
QUESTION
Calculate the following: 8.1\times 0.5
PAPER 19B
QUESTION
A student records the number of cars each of his classmates family has.
They record this data in a table.
******************* IMAGE *******************
Work out the total number of cars the families of the class have.
QUESTION
If y=4 and t=2, work out the value of x given, y=5x-3t
QUESTION
A coach carrying children on a school trip travels 60 miles per hour in the first [/latex]2[/latex] hours then at 20 miles per hour for a further 1 and a half hours. How many miles does the coach travel on this journey in total?
QUESTION
A biology tutor wishes to bulk purchase some notepads for his students. He wants to buy 25 notepads. There is a 3 for the price of 2 offer on the notepads he wishes to buy. How many notepads will the tutor have to pay for in order to receive 25.
QUESTION
Work out (3.75-0.28)^2-3.076
Give your answer as a decimal rounded to 2 decimal places.
QUESTION
Ruth buys a sofa for £340
She pays a deposit of 15\% and the rest of the money in monthly payments of £17
How many monthly payments will Ruth need to pay?
QUESTION
******************* IMAGE *******************
Find the missing angle labelled B
QUESTION
Spinner A has numbers 1 to 4 on it.
Spinner B has numbers 1 to 3 on it.
Both spinners are spun and the numbers on each are added together to give a score.
What is the probability that the score will be 3 or 4 ?
QUESTION
ABC is a right angle.
******************* IMAGE *******************
Find the missing angle labelled x
QUESTION
******************* IMAGE *******************
Draw the front elevation of the 3D shape shown.
QUESTION
Ben went on holiday to Australia. He changed £350 into Australian dollars (\$).
The exchange rate was £1 = \$1.9
Work out how many Australian dollars Ben should have received.
QUESTION
******************* IMAGE *******************
Using the diagram, find the distance of Easingwold from Birmingham. Give your answer to the nearest 5 km.
QUESTION
Below is a trapezoidal prism.
The trapezium’s parallel sides have lengths 45 cm and 60 cm and its perpendicular height is 20 cm.
The length of the prism is 80 cm.
******************* IMAGE *******************
Work out the volume of the prism.
QUESTION
******************* IMAGE *******************
Find the area of the compound shape.
QUESTION
Shaqil has some green and pink counters in a bag.
The ratio of green counters to counters is 3:7
If Shaqil has 9 green counters, how many pink counters does he have?
PAPER 19 ANSWERS
1 - 2.593
2 - 24 \div 0.75 = 32 people
3 - \frac{28}{15}
4 - There are 28 female students
5 - 216
6 - 3
7 - cylinder and cone
8 - 108
9 - £3.75
10 - x = (180-100) \div 2 = 40\degree
11 - Cube
12 - 130 times
13 - 21
14 - (30 \times £3) + (20 \times £7) = £230
15 - 4.05
1 - (0\times2) + (1 \times 12) + (2 \times 8) + (3 \times 6) + (4 \times 2) = 54 cars
2 - x=2
3 - 150 miles
4 - 17 notepads
5 - 8.96
6 - 340 \times 0.85 = 289
289 \div 17 = 17 months
7 - 180 - 64 - 32 = 84\degree
8 - \frac{5}{12}
9 - 38\degree
10 - See drawing
11 - 350 \times 1.9 = \$ 665
12 - \sqrt{11^2 + 7^2} = 13.04 cm which is 130 km (nearest 5 km)
13 - Area of cross section =\frac{1}{2}\times(45+60)\times20= 1050 cm^2
Volume of prism =1050\times80=84000 cm^3
14 - Area of the left hand side rectangle is 10\times(11-6)= 50 cm^2
Area of the right hand side rectangle is 6\times4= 24 cm^2
Total area: 50 + 24 = 74 cm^2
15 - 9 : 21
21 - 9 = 12 pink counters
******************* IMAGE *******************
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PAPER 20
PAPER 20A
QUESTION
Calculate 7.651+1.102
QUESTION
What is 57600 seconds equivalent to in hours ?
QUESTION
Work out \dfrac{5}{3}-\dfrac{1}{4}
QUESTION
A sprinter runs a distance of 200 metres in 25 seconds.
Work out the average speed of the sprinter.
QUESTION
Work out 252\% of 125
QUESTION
In school of 600 pupils, 64\% walk to school regularly.
How many pupils walk to school regularly?
QUESTION
If the ratio of x:y is 6:11, and x = 27, what is the value of y ?
QUESTION
What is 5^4 ?
QUESTION
Anna has 128 trees in her garden. 16 of the trees are apple trees.
What percentage of the trees in the garden are apple trees?
QUESTION
The price of a new printer is £120 plus VAT. VAT is charged at a rate of 17.5\%
What is the total price of the printer?
QUESTION
If the probability of passing a driving test is 0.57,
what is the probability of failing it?
QUESTION
******************* IMAGE *******************
Draw the plan of the 3D shape shown.
QUESTION
******************* IMAGE *******************
What 3D shape can be created with this net?
QUESTION
Calculate the following: 45.5\times 5.5
QUESTION
Work out 5 \times (2 + 1) + 4
PAPER 20B
QUESTION
The probability that a football team will win their next game is \dfrac{2}{11}.
The probability they will lose is \dfrac{4}{11}.
What is the probability the game will be a draw?
QUESTION
If a student spends 45 minutes on homework on 4 evenings a week and a further 25 minutes on 2 mornings, how much time does the student spend on homework each week? Give your answer in hours and minutes?
QUESTION
******************* IMAGE *******************
What 3D shape can be created with the 2D net shown?
QUESTION
******************* IMAGE *******************
Write down the mathematical name of shape D.
QUESTION
£61.20 is shared equally between 9 people. How much does each person receive?
QUESTION
Elisa makes breakfast cereal.
She mixes nuts, raisins and oats in the ratio 3 : 1 : 5 by weight.
She measures out 45 g of nuts.
Work out the amount of oats she will use.
QUESTION
The triangle ABC is an isosceles triangle.
******************* IMAGE *******************
Work out the value of angle x\degree
You must give reasons for your answer.
QUESTION
There is enough space for 130 boxes in a stockroom.
On Monday there are 75 boxes in the stockroom.
On Tuesday 19 boxes are taken out of the stockroom.
On Wednesday 59 boxes are put into the stockroom.
Work out how many more boxes can now be put into the stockroom.
QUESTION
******************* IMAGE *******************
Work out the volume of the prism shown.
QUESTION
In a drawer there are,
6 blue pairs of socks, 9 yellow pairs of socks, 4 black pairs of socks
and 5 white pairs of socks.
A pair of socks is taken from the drawer at random.
What is the probability that the pair of socks chosen is blue or black?
QUESTION
Beth goes on holiday to Italy.
The exchange rate is £1 = €1.15
She changes £350 into Euros (€).
Work out how many Euros she receives.
QUESTION
A school chef is buying fruit to stock up the school canteen.
******************* IMAGE *******************
In pounds, how much does it cost the chef in total to buy the fruit he needs?
QUESTION
A part of the cuboid has been removed leaving the shape shown.
******************* IMAGE *******************
Calculate the volume of the resulting shape.
QUESTION
******************* IMAGE *******************
Find the area of the circle.
QUESTION
Rose has 3 footballs, 5 rugby balls and 7 tennis balls.
Write the number of footballs as a fraction of the total number of balls Rose has.
Give your answer in its simplest form.
PAPER 20 ANSWERS
1 - 8.753
2 - 16 hours
3 - \frac{17}{12}
4 - 8 m/s
5 - 315
6 - 384 pupils
7 - 49.5
8 - 625
9 - 12.5\%
10 - £141
11 - 0.43
12 - See graph
13 - Cube
14 - 250.25
15 - 19
******************* IMAGE *******************
1 - 1 - \frac{2}{11} - \frac{4}{11} = \frac{5}{11}
2 - 3 hours and 50 minutes
3 - Cylinder
4 - Square-Based pyramid
5 - £6.80
6 - \frac{45}{3} \times 5 = 75 g
7 - \angle ABC = 55\degree
x= 180 - 80 - 55 = 45\degree8 - 75-19+59 = 115
130 - 115 = 15 boxes
9 - 630-250 = 380 cm^3
10 - \frac{10}{24}= \frac{5}{12}
11 - 350 \times 1.15 = €402.50
12 - £18.55
13 - Area of front face = (4\times 4) + (3\times 2) = 22 cm^2
22\times 3 = 66 cm^3
14 - The area of a circle is given by the formula, Area = \pi r^2
As the radius is 8 cm then,
Area = \pi\times8^2=201.1 cm^2
15 - \frac{3}{15} = \frac{1}{5}