PAPER 11
PAPER 11A
QUESTION 1 [1 mark]
What is the value of the 3 in the number 131162 in words?
Answer type: Multiple choice type 1
A: Thirty thousand
B: Three thousand
C: Three hundred thousand
D: Three hundred
ANSWER: A
QUESTION 2 [1 mark]
Calculate the following: 0.8\div 0.02
Answer type: Simple text answer
ANSWER: 40
QUESTION 3 [1 mark]
What is 35\% of 400 m?
Answer type: Simple text answer
ANSWER: 140 m
QUESTION 4 [1 mark]
Work out an estimate for:
\dfrac{30.11+19.3}{2.22\times5.23}
Answer type: Multiple choice type 1
A: 5
B: 4
C: 7
D: 60
ANSWER: A
WORKING:
\dfrac{50}{10} = 5
QUESTION 5 [1 mark]
Choose the correct plan elevation of the above 3D shape.
Answer type: Multiple choice type 1
A: 
B: 
C: 
ANSWER: A
QUESTION 6 [1 mark]
Work out 50\times600\div20
Answer type: Simple text answer
ANSWER: 1500
QUESTION 7 [1 mark]
What is \, \dfrac{6}{5} + \dfrac{6}{2} as an improper fraction?
Answer type: Fraction
ANSWER: \dfrac{21}{5}
WORKING:
\dfrac{6}{5} + \dfrac{6}{2}=(\dfrac{6}{5}\times\dfrac{2}{2}) + (\dfrac{6}{2}\times\dfrac{5}{5})=\dfrac{12}{10}+\dfrac{30}{10}=\dfrac{42}{10}=\dfrac{21}{5}QUESTION 8 [1 mark]
What is the value of (2a+ab)^2-5ab when a=2 and b=3 ?
Answer type: Simple text answer
ANSWER: 70
WORKING:
(2\times2+2\times3)^2-5\times2\times3=(4+6)^2-5\times2\times3=100-30=70QUESTION 9 [1 mark]
Express 0.58 as a fraction in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{29}{50}
QUESTION 10 [2 marks]
Steve drove at 30 mph for 30 minutes.
If he travels at 60 mph over the same distance, how long would it take?
Give your answer in minutes.
Answer type: Simple text answer
ANSWER: 15 minutes
WOKRING:
30 mph \times \, 0.5 hrs = 15 miles
\dfrac{15}{60} = 0.25 hrs = 15 mins
QUESTION 11 [1 mark]
The value of a tech stock increases by 12\%. The stock was originally bought for £150. What is its new value?
Answer type: Simple text answer
ANSWER: £168
WORKING:
12\%\text{ of } \text{£}150=18\\ \text{£}150+\text{£}18=\text{£}168QUESTION 12 [1 mark]
Work out 5\times 3 + 3 \times 6
Answer type: Simple text answer
ANSWER: 33
QUESTION 13 [1 mark]
Choose the correct plot of the coordinate (11,6) on the graph below.
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER: A
QUESTION 14 [1 mark]
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.
Answer type: Simple text answer
ANSWER: 48 minutes
WORKING:
1 hour and 20 minute = 80 minutes.
80-(80\times0.4)=48 minutes.
PAPER 11B
QUESTION 1 [1 mark]
What is the number in the tenths position in 618.507?
Answer type: Simple text answer
ANSWER: 5
QUESTION 2 [2 marks]
A painter increases his charges by 6\% to £21.20 per hour.
How much did he charge before the increase?
Answer type: Simple text answer
ANSWER: £20
WORKING:
£21.20 \div 1.06 = £20
QUESTION 3 [2 marks]
A printer charges 8p to copy one page.
A student pays £4.56 to copy their project.
How many pages is the student’s project?
Answer type: Simple text answer
ANSWER: 57
WORKING:
456\div8=57QUESTION 4 [1 mark]
What is \dfrac{13}{20} as a percentage?
Answer type: Simple text answer
ANSWER: 65 \%
QUESTION 5 [1 mark]
Describe the nature of the correlation shown in the scatter graph.
Answer type: Multiple choice type 1
A: Weak positive correlation
B: Weak negative correlation
C: Strong positive correlation
D: No correlation
ANSWER: A
QUESTION 6 [4 marks]
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?
Answer type: Simple text answer
ANSWER: 1.75 m
WORKING:
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
QUESTION 7 [3 marks]
£1000 is deposited into a savings account that pays 0.5\% compound interest per year
How much is in the saving account after 2 years?
Give your answer in pounds rounded to 2 decimal places.
Answer type: Simple text answer
ANSWER: £1010.03
WORKING:
Year 1: £1000 \times 1.005 = £1005
Year 2: £1005 \times 1.005 = £1010.03
QUESTION 8 [6 marks]
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
You are given that \pi = 3.14
Find the perimeter of the shape above.
Give your answer to 2 decimal places.
Answer type: Simple text answer
ANSWER: 44.56 cm
WORKING:
Perimeter =10 +10 + 10 +1 + 1 +(\frac{1}{2} \times 3.14 \times 8)=32+ 12.56=44.56 cm
QUESTION 9 [6 marks]
The diagram below shows a cuboid.
Width is 6 cm
Height is 3 cm
Length is 10 cm
The cuboid is made from wood and has a mass of 234 g.
Calculate the density of the cuboid.
Answer type: Simple text answer
ANSWER: 1.3 g/cm^3
WORKING:
Volume = 10 \times 3 \times 6 = 180 cm^3
Density = 234 \div 180 = 1.3 g/cm^3
QUESTION 10 [3 marks]
A group of students were asked how many brothers and sisters they had. Their answers are recorded in the table below.
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.
Answer type: Fraction
ANSWER: \dfrac{2}{15}
WORKING:
Number of brother and sisters = 0
Number of students = 4
Probability = \dfrac{4}{30} = \dfrac{2}{15}
QUESTION 11 [5 marks]
A pizza with the size of 12 inches in diameter has been cut into 8 slices.
You are given that \pi = 3.14
What is the area of of each slice of pizza?
Give your answer correct to 2 decimal places.
Answer type: Simple text answer
ANSWER: 14.13 inches^2
WORKING:
r = 12\div 2 = 6 inches
Area = 3.14 \times 6^2=113.04
For the area of the Slice:
113.04 \div 8 = 14.13 inches^2
QUESTION 12 [3 marks]
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.
Answer type: Fraction
ANSWER: \dfrac{5}{12}
WORKING:
\dfrac{1}{4}+\dfrac{1}{3} = \bigg( \dfrac{1}{4}\times \dfrac{3}{3} \bigg) + \bigg( \dfrac{1}{3}\times \dfrac{4}{4} \bigg)
\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{4}{12}+\dfrac{3}{12}=\dfrac{7}{12}
1-\dfrac{7}{12}=\dfrac{5}{12}
QUESTION 13 [2 marks]
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?
Answer type: Simple text answer
ANSWER: 125
WORKING:
50 \div 0.4 = 125 laptops
QUESTION 14 [3 marks]
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
Answer type: Simple text answer
ANSWER: 0.78
WORKING:
1 - 0.56 = 0.44
0.44 \div2 = 0.22
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 = 0.78
QUESTION 15 [3 marks]
Fifty students were asked how many books they each took to school on Monday.
The results are summarized in the table below.
Calculate the mean number of books that students took to school.
Answer type: Simple text answer
ANSWER: 2.52
WORKING:
\dfrac{(0\times10)+(1\times11)+(2\times8)+(3\times3)+(4\times6)+(5\times7)+(6\times4)+(7\times1)}{50}=2.52