PAPER 13
PAPER 13A
(Q1) QUESTION 1 [1 mark]
Write in digits one hundred, sixty four thousand, one hundred and fourteen.
Answer type: Simple text answer
ANSWER: 164114
(Q2) QUESTION 2 [1 mark]
Write the numbers in increasing order starting with the smallest.
7,\,\,\,\, -8,\,\,\,\, 3, \,\,\,\, -1, \,\,\,\, -4
Answer type: Multiple choice type 1
A: -8,\,\,\,\, -4,\,\,\,\, -1, \,\,\,\, 3, \,\,\,\, 7
B: -1,\,\,\,\, -4,\,\,\,\, -8, \,\,\,\, 3, \,\,\,\, 7
C: -8,\,\,\,\, -4,\,\,\,\, -1, \,\,\,\, 7, \,\,\,\, 3
D: 7,\,\,\,\, 3,\,\,\,\, -1, \,\,\,\, -4, \,\,\,\, -8
ANSWER: A
(Q3) QUESTION 3 [1 mark]
What is 1\dfrac{2}{7}+2\dfrac{3}{2} as an improper fraction?
Answer type: Fraction
ANSWER: \dfrac{67}{14}
WORKING:
1\dfrac{2}{7}+2\dfrac{3}{2}= \dfrac{9}{7}+\dfrac{7}{2}=(\dfrac{9}{7}\times\dfrac{2}{2})+(\dfrac{7}{2}\times\dfrac{7}{7})=\dfrac{18}{14}+\dfrac{49}{14}=\dfrac{67}{14}(Q4) QUESTION 4 [1 mark]
What is 1\dfrac{1}{4} of 124?
Answer type: Simple text answer
ANSWER: 155
WORKING:
\dfrac{1}{4}\text{ of } 124 = 31So 1\dfrac{1}{4}\text{ of } 124 = 124+31=155
(Q5) QUESTION 6 [1 mark]
What is the name of the 3D shape that can be created with the net shown?
Answer type: Multiple choice type 1
A: Triangular based pyramid
B: Triangular prism
C: Frustum
D: Cylinder
ANSWER: A
(Q6) QUESTION 7 [2 marks]
A cube has sides of length 20 cm and a mass of 5 kg.
Find the density of this cube, in g/cm^3.
Answer type: Simple text answer
ANSWER: 0.625 g/cm^3
WORKING:
\text{Density} = 5000 \div 20^3 = 0.625 g/cm^3
(Q7) QUESTION 8 [1 mark]
Work out 11+11 - 6^2 \div 2
Answer type: Simple text answer
ANSWER: 4
WORKING:
11+11 - 6^2 \div 2=11+11-36\div2=11+11-18=4(Q8) QUESTION 9 [1 mark]
Orla sells 1509 books at a cost of £5.95
Estimate the total amount of money Orla has made from selling her books.
Answer type: Multiple choice type 1
A: £9000
B: £7500
C: £12000
D: £6000
ANSWER: A
WORKING:
1500\times\text{£}5.95=\text{£}9000(Q9) QUESTION 10 [1 mark]
Choose the correct plot of the coordinate (9,4) on the graph below.
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER: A
(Q10) QUESTION 11 [1 mark]
Write the lengths of time in increasing order starting with the smallest.
0.75 hours , \,\,\,\, 25 minutes, \,\,\,\, 100 minutes \,\,\,\, 2 hours, \,\,\,\, 1.5 hours
Answer type: Multiple choice type 1
A: 25 mins, \,\,\,\, 0.75 hours, \,\,\,\, 1.5 hours, \,\,\,\, 100 mins, \,\,\,\, 2 hours
B: 25 mins, \,\,\,\, 0.75 hours, \,\,\,\, 1.5 hours, \,\,\,\, 2 hours , \,\,\,\, 100 mins
C: 25 mins, \,\,\,\, 0.75 hours, \,\,\,\, 100 mins, \,\,\,\, 1.5 hours, \,\,\,\, 2 hours
D: 2 hours, \,\,\,\, 100 mins, \,\,\,\, 1.5 hours, \,\,\,\, 0.75 hours, \,\,\,\, 25 mins
ANSWER: A
(Q11) QUESTION 12 [1 mark]
What is the decimal equivalent to \dfrac{1}{16}?
Answer type: Simple text answer
ANSWER: 0.0625
(Q12) QUESTION 13 [1 mark]
What is the number in the hundredths position in 725.910?
Answer type: Simple text answer
ANSWER: 1
(Q13) QUESTION 14 [1 mark]
Calculate 10.76-8.9
Answer type: Simple text answer
ANSWER: 1.86
(Q14) QUESTION 15 [1 mark]
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.
Answer type: Simple text answer
ANSWER: £30
WORKING:
\dfrac{1}{3}\text{ of } \text{£}45=\text{£}15\\ \text{£}45-\text{£}15=\text{£}30
PAPER 13B
QUESTION 1 [2 marks]
Work out 6\times 1.8^2
Give your answer as a decimal rounded to 2 decimal places.
Answer type: Simple text answer
ANSWER: 19.44
QUESTION 2 [2 marks]
Work out the percentage increase from 1950 to 3250
Give your answer as a percentage to 2 decimal places.
Answer type: Simple text answer
ANSWER: 66.67 \%
WORKING:
3250-1950=1300\\ \dfrac{1300}{1950}=\dfrac{2}{3}=66.67\%QUESTION 3 [2 marks]
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\degree F.
Answer type: Simple text answer
ANSWER: 30 \degree C
WORKING:
86=1.8C+32\\ C=\dfrac{86-32}{1.8}=30\degreeQUESTION 4 [2 marks]
The diagram shows the locations of various Towns.
Using the diagram, find the distance of Town M from Town K.
Answer type: Simple text answer
ANSWER: 60 km
QUESTION 5 [1 mark]
Which of the following plan views accurately represents the 3D shapes shown?
Answer type: Multiple choice type 1
A: 
B: 
C: 
ANSWER: A
QUESTION 6 [3 marks]
Ellie invests £5000 for 2 years.
The investment earns 2\% compound interest per annum.
Work out the value of the investment at the end of 2 years.
Answer type: Simple text answer
ANSWER: £5202
WORKING:
Year 1: £5000 \times 1.02 = £5100
Year 2: £5100 \times 1.02 = £5202
QUESTION 7
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.
Question 7(a) [2 marks]
What fraction of the total lemonade sales were made in week 1?
Give your answer in simplest form.
Answer type: Fraction
ANSWER: \dfrac{1}{4}
WORKING:
Number of sales in week 1 = 10
Total number of sales = 40
\dfrac{10}{40}=\dfrac{1}{4}
Question 7(b) [2 marks]
What percentage of the total lemonade sales were made in week 2?
Answer type: Simple text answer
ANSWER: 45 \%
WORKING:
\dfrac{18}{40}=45\%
Question 7(c) [1 mark]
How many lemonade sales were made in week 3?
Answer type: Simple text answer
ANSWER: 12
QUESTION 8 [3 marks]
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?
Answer type: Simple text answer
ANSWER: 15
WORKING:
(8\div2)\times3=12\text{ (number of oranges in the basket)}\\ (12\div4)\times5=15\text{ (number of bananas in the basket)}QUESTION 9 [2 marks]
An estate agent earns 2\% commission on each property sold.
How much do they earn selling a house for £350000?
Answer type: Simple text answer
ANSWER: £7000
WORKING:
\text{£}350000\times0.02=\text{£}7000QUESTION 10 [2 marks]
Estimate the number of cinema visits during 2008
Answer type: Multiple choice type 1
A: 10
B: 6
C: 8
D: 12
ANSWER: A
WORKING:
QUESTION 11 [4 marks]
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, 25
Calculate the mean and range for this data set.
Answer type: Multiple answers type 1
ANSWER:
Mean = 18.1
Range = 16
WORKING:
Mean = 181 \div 10 = 18.1 minutes
Range = 27 - 11= 16 minutes
QUESTION 12 [3 marks]
What is \dfrac{8}{11} +\dfrac{1}{2} - \dfrac{1}{11} as a mixed number fraction?
Answer type: Multiple choice type 1
A: 1\dfrac{3}{22}
B: 1\dfrac{1}{11}
C: \dfrac{25}{22}
D: \dfrac{12}{11}
ANSWER: A
WORKING:
\dfrac{8}{11} +\dfrac{1}{2} - \dfrac{1}{11}=\dfrac{16}{22}+\dfrac{11}{22}-\dfrac{2}{22}=\dfrac{25}{22}=1\dfrac{3}{22}QUESTION 13 [3 marks]
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.
Answer type: Fraction
ANSWER: \dfrac{9}{40}
WORKING:
\dfrac{18}{40}=\dfrac{9}{40}QUESTION 14 [7 marks]
The diagram shows a wooden block with density 0.57 g/cm^3
Calculate the mass of the cube.
Give your answer in grams.
Answer type: Simple text answer
ANSWER: 34.2 g
WORKING:
\text{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
QUESTION 15 [4 marks]
The square ABCD has a perimeter of 64 m.
Calculate the area of ABCD.
Answer type: Simple text answer
ANSWER: 256 m^2
Length of one side = 64 \div 4 = 16 m
Area = 16 \times 16 = 256 m^2