PAPER 16
PAPER 16A
QUESTION 1 [1 mark]
Estimate 901.3 \div 61.01
Answer type: Multiple choice type 1
A: 15
B: 960
C: 20
D: 54000
ANSWER: A
QUESTION 2 [2 marks]
A car takes 15 minutes to travel 24 miles.
Find the average speed the car was traveling at.
Answer type: Simple text answer
ANSWER: 96 mph
WORKING:
24 \div 0.25 = 96 mph
QUESTION 3 [1 mark]
Work out the value of \dfrac{2}{9}\times\dfrac{7}{4} in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{7}{18}
WORKING:
\dfrac{2}{9}\times\dfrac{7}{4}=\dfrac{14}{36}=\dfrac{7}{18}QUESTION 4 [1 mark]
Calculate the following: 48.03-21.20
Answer type: Simple text answer
ANSWER: 26.83
QUESTION 5 [1 mark]
If the probability of passing the driving theory test is 0.74
What is the probability of failing it?
Answer type: Simple text answer
ANSWER: 0.26
WORKNG:
1-0.74=0.26
QUESTION 6 [1 mark]
Write the ratio 18 : 63 : 9 in its simplest form.
Answer type: Multiple choice type 1
A: 2 : 7 : 1
B: 3 : 7 : 1
C: 6 : 21 : 3
D: 1 : 7 : 2
ANSWER: A
QUESTION 7 [1 mark]
What is 28 out of 80 as a percentage?
Answer type: Simple text answer
ANSWER: 35 \%
QUESTION 8 [1 mark]
What is 3^4 ?
Answer type: Simple text answer
ANSWER: 81
QUESTION 9 [1 mark]
Find the missing angle labelled x
Answer type: Simple text answer
ANSWER: x= 48 \degree
WORKING:
Angle of a straight line is 180\degree\\
x=180\degree-132\degree=48\degreeQUESTION 10 [1 mark]
Choose the front elevation of the 3D shape shown.
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER: A
QUESTION 11 [1 mark]
What 3D shape can be created with the net above?
Answer type: Multiple choice type 1
A: Cube
B: Frustum
C: Square-based pyramid
D: Square
ANSWER: A
QUESTION 12 [1 mark]
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?
Answer type: Simple text answer
ANSWER: 250 km
QUESTION 13 [1 mark]
What is 35 metres equivalent to in millimetres?
Answer type: Multiple choice type 1
A: 35000 mm
B: 3500 mm
C: 350 mm
D: 0.035 mm
ANSWER: A
QUESTION 14 [1 mark]
Work out 7 \times (8 \div 4)^2
Answer type: Simple text answer
ANSWER: 28
WORKING:
7 \times (8 \div 4)^2=7\times2^2=7\times4=28PAPER 16B
QUESTION 1 [3 marks]
You are given that \pi = 3.14
Find the perimeter of the circle.
Give your answer to 2 decimal places.
Answer type: Simple text answer
ANSWER: 13.82 cm
WORKING:
Perimeter =2\pi r=2 \times 3.14 \times 2.2 =13.82 cm (2 dp)
QUESTION 2 [2 marks]
Calculate,
\dfrac{14.2-5.6}{2.3^2}
Give your answer as a decimal rounded to 2 decimal places.
Answer type: Simple text answer
ANSWER: 1.63
QUESTION 3 [2 marks]
Tommy buys a rare painting for £3200
He eventually sells it for £3800
Work out the percentage increase in value of the painting.
Answer type: Simple text answer
ANSWER: 18.75 \%
WORKING:
\dfrac{£3800-£3200}{£3200}=18.75\%QUESTION 4 [5 marks]
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?
Answer type: Simple text answer
ANSWER: £6
WORKING:
24\times£7.50=£180\\ 180\times0.7=£126\\ £126+£18=£144\\ \dfrac{£144}{24}=£6
QUESTION 5
The ratio of girls to boys in a class is 4 : 5
Question 5(a) [2 marks]
What fraction of the class are girls?
Answer type: Fraction
ANSWER: \dfrac{4}{9}
WORKING:
\dfrac{4}{4+5}=\dfrac{4}{9}
Question 5(b) [2 marks]
What percentage of the class are boys?
Give your answer to 1 decimal place.
Answer type: Simple text answer
ANSWER: 55.6 \%
WORKING:
\dfrac{5}{4+5}=\dfrac{5}{9}=55.6 \%
Question 5(c) [2 marks]
There are 36 students in the class.
How many girls are in the class?
Answer type: Simple text answer
ANSWER: 16
WORKING:
36\times\dfrac{4}{9}=16QUESTION 6 [3 marks]
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.
Give your answer to 3 decimal places.
Answer type: Simple text answer
ANSWER: 1.304 \%
WORKING:
x=\dfrac{1165-1150}{1150} \times 100 = 1.304\%
QUESTION 7 [4 marks]
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?
Give your answer as a decimal.
Answer type: Simple text answer
ANSWER: 0.25
WORKING:
Possible combinations that give a total score of 5:
2+3, 3+2, 4+1, so 3 combinations of scores.
Total possible combinations = 4\times3=12
Probability that the score will be 5=\dfrac{3}{12}=0.25
QUESTION 8 [3 marks]
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?
Answer type: Simple text answer
ANSWER: 250
WORKING:
Proportion of students with brown hair =\dfrac{5}{4+5}=\dfrac{5}{9}
\dfrac{5}{9} \times 450 = 250 students
QUESTION 9 [5 marks]
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?
Answer type: Simple text answer
ANSWER: 135
WORKING:
750 \times 450 = 337500
50 \times 50 = 2500
337500 \div 2500 = 135 tiles
QUESTION 10 [3 marks]
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?
Answer type: Multiple choice type 1
A: Maths
B: Science
ANSWER: A
WORKING:
Maths score = \dfrac{27}{42}= 64.3\%
Science score = \dfrac{39}{61}=63.9\%
So John did better in Maths
QUESTION 11 [2 marks]
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 (£).
Simple text answer
ANSWER: £34.80
WORKING:
€40\times0.87=£34.80QUESTION 12 [2 marks]
Find the missing angle labelled x
Answer type: Simple text answer
ANSWER: x= 50 \degree
WORKING:
Isosceles triangle, so x = 180 - 65 - 65 = 50\degree
QUESTION 13 [1 mark]
Choose the correct plan for the 3D shape.
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER: A
QUESTION 14
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
Question 14(a) [1 mark]
Calculate the median of set B.
Answer type: Simple text answer
ANSWER: 12
Question 14(b) [1 mark]
Which data set has the highest median?
Answer type: Multiple choice type 1
A: Data set A
B: Data set B
ANSWER: B
QUESTION 15 [2 marks]
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.
Answer type: Multiple choice type 1
A: 1:5
B: 5:1
C: 1:6
D: 6:1
ANSWER: A