PAPER 7
PAPER 7A
(Q1) QUESTION 2 [1 mark]
Estimate 2001 \times 31.01
Answer type: Multiple choice type 1
A: 60000
B: 6000
C: 600000
D: 2030
ANSWER: A
WORKING:
2000 \times 30 = 60000
(Q2) QUESTION 3 [1 mark]
What is 48000 cm equivalent to in km?
Answer type: Simple text answer
ANSWER: 0.48 km
WORKING:
48000\div100=480\text{ m}// 480\div1000=0.48\text{ km}(Q3) QUESTION 4 [2 marks]
It takes 4 people 2 hours to tidy a house.
How long would it take if 8 people volunteered to tidy the same house?
Answer type: Multiple choice type 1
A: 1 hour
B: \dfrac{1}{2} hour
C: 2 hours
D: 4 hours
ANSWER: A
WORKING:
4 people \times \, 2 hours = \, 8 hours of work total
1 hour each for 8 people
(Q4) QUESTION 5 [2 marks]
Calculate the distance travelled by a family of 5 who have driven for 5 hours at a speed of 34 mph.
Answer type: Simple text answer
ANSWER: 170 miles
WORKNG:
34\times 5=170 miles
(Q5) QUESTION 6 [1 mark]
What is \dfrac{4}{5} of 240?
Answer type: Simple text answer
ANSWER: 192
(Q6) QUESTION 7 [1 mark]
Choose the correct side elevation of the 3D shape shown.
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER: A
(Q7) QUESTION 8 [1 mark]
Write the numbers in increasing order starting with the smallest.
1.045, \,\,\,\, 1.445, \,\,\,\, 4.115, \,\,\,\, 5.411, \,\,\,\, 0.1445
Answer type: Multiple choice type 2
A: 0.1445, \,\,\,\, 1.045, \,\,\,\, 1.445, \,\,\,\, 4.115, \,\,\,\, 5.411
B: 0.1445, \,\,\,\, 1.445, \,\,\,\, 1.045, \,\,\,\, 4.115, \,\,\,\, 5.411
C: 0.1445, \,\,\,\, 1.045, \,\,\,\, 1.445, \,\,\,\, 5.411, \,\,\,\, 4.115
D: 5.411, \,\,\,\, 4.115, \,\,\,\, 1.445, \,\,\,\, 1.045, \,\,\,\, 0.1445
ANSWER: A
(Q8) QUESTION 9 [1 mark]
Find the median of the following set of values
52, \,\, 71, \,\, 102, \,\, 194, \,\, 197, \,\, 22, \,\, 55
Answer type: Simple text answer
ANSWER: 71
(Q9) QUESTION 10 [1 mark]
Calculate the following:
(7+5)^2\div6^2-1
Answer type: Simple text answer
ANSWER: 3
(7+5)^2\div6^2-1=12^2\div6^2-1=144\div36-1=4-1=3(Q10) QUESTION 11 [1 mark]
Choose the correct plot of the coordinate (6,7) on the graph below.
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER: A
(Q11) QUESTION 12 [1 mark]
A car hire firm charges a fixed £50 fee then charges per mile driven.
Using the conversion graph, how much would it cost to drive 125 miles?
Answer type: Simple text answer
ANSWER: £100
WORKING:
(Q12) QUESTION 14 [1 mark]
Work out 400+1800\div 30
Answer type: Simple text answer
ANSWER: 460
(Q13) QUESTION 15 [1 mark]
A headteacher surveys her staff to see when they take their main holiday. She knows that many people are likely to holiday in the UK and elsewhere in the world within the same year. The table below shows her findings.
Which was the modal combination of destinations?
Answer type: Multiple choice type 1
A: Italy and London
B: USA and Yorkshire
C: France and Dorset
D: Spain and Devon
ANSWER: A
PAPER 7B
QUESTION 1 [3 marks]
Megan is a florist. She is arranging flowers for a display and has 16 roses, 8 daffodils and 13 tulips.
What is the probability of Megan randomly selecting a rose?
Give your answer to three decimal places.
Answer type: Simple text answer
ANSWER: 0.432
WORKING:
\dfrac{16}{16+8+13} = 0.432
QUESTION 2 [1 mark]
What 3D shape can be created with the net shown above?
Answer type: Multiple choice type 1
A: Cube
B: Frustum
C: Square-based pyramid
D: Sphere
QUESTION 3 [2 marks]
A protein bar weighs 110 g
Its ingredients list the bar being 25\% protein
How many grams of protein are there in a bar?
Answer type: Simple text answer
ANSWER: 27.5 g
WORKING:
110\times0.25=27.5\text{ g}QUESTION 4 [1 mark]
Write the numbers in increasing order starting with the smallest.
341,\,\,\,\, 311,\,\,\,\, 376, \,\,\,\, 351, \,\,\,\, 308
Answer type: Multiple choice type 2
A: 308,\,\,\,\, 311,\,\,\,\, 341, \,\,\,\, 351, \,\,\,\, 376
B: 308,\,\,\,\, 311,\,\,\,\, 351, \,\,\,\, 341, \,\,\,\, 376
C: 311,\,\,\,\, 341,\,\,\,\, 351, \,\,\,\, 376, \,\,\,\, 308
D: 376,\,\,\,\, 351,\,\,\,\, 341, \,\,\,\, 311, \,\,\,\, 308
ANSWER: A
QUESTION 5 [1 mark]
Write in digits ninety four thousand, one hundred and nineteen.
Answer type: Simple text answer
ANSWER: 94119
QUESTION 6 [3 marks]
A rectangular field is measured to be \dfrac{9}{4} km by \dfrac{11}{8} km.
What is the perimeter of the field as a mixed number fraction?
Answer type: Multiple choice type 1
A: 7\frac{1}{4} km
B: 3\frac{5}{8} km
C: 3\frac{3}{32} km
D: 6\frac{3}{16} km
ANSWER: A
WORKING:
\dfrac{9}{4} + \dfrac{9}{4} + \dfrac{11}{8}+ \dfrac{11}{8} = \dfrac{58}{8}
Perimeter = 7\frac{1}{4} km
QUESTION 7 [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 there are 3 children in that student’s family.
Give your answer as a fraction in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{4}{15}
WORKING:
No. of siblings = 2, No. of students = 8
Probability = \dfrac{8}{30} = \dfrac{4}{15}
QUESTION 8 [3 marks]
Jeremy puts £2000 into a bank account that gains 1.5 \% interest per year.
How much money will be in his bank account after 2 years, given that he does not take any money out?
Answer type: Simple text answer
ANSWER: £2060.45
WORKING:
Year 1: £2000 \times 1.015 = £2030
Year 2: £2030 \times 1.015 = £2060.45
QUESTION 9 [5 marks]
Shapes A (top left), B (top right), C (bottom left) and D (bottom right) are as follows:
Which two of the four shapes have the same area?
You are given that \pi = 3.14
Answer type: Multiple choice type 1
A: B and C
B: A and B
C: C and D
D: B and D
ANSWER: A
WORKING:
Shape A = \pi r^2= 3.14 \times 3^2 =28.26 cm^2
Shape B = \text{base} \times \text{height}=27 cm^2
Shape C = \dfrac{(\text{top} + \text{bottom})}{2} \times \text{height}=27 cm^2
Shape D = 23 cm^2
B and C are have the same area
QUESTION 10 [5 marks]
Mrs Smith travels on Plane M, which flies at an average speed of 825 km/h for 7 hours and 24 minutes from Location A to Location B.
She then waits at Location B for 2 hours and 11 minutes, before flying to Location C on Plane N, which flies at an average speed of 722 km/h for 4 hours and 48 minutes.
Both planes fly in a straight line to their respective destinations.
What is the total distance of her journey in km to 1 decimal place?
Answer type: Simple text answer
ANSWER: 9570.6 km
WORKING:
A to B: \text{Distance} = \text{S} \times \text{T} = 825 \times 7.4 = 6105 km
B to C: \text{Distance} = 722 \times 4.8 = 3465.6 km
\text{Total distance}= 6105 + 3465.6 = 9570.6 km
QUESTION 11 [2 marks]
108 identical textbooks have a mass of 30 kg
Find the mass of 270 books.
Answer type: Simple text answer
ANSWER: 75 kg
WORKING:
\dfrac{30}{108} \times 270 = 75 kg
QUESTION 12 [6 marks]
Grayson Academy can choose from two suppliers when buying scissors.
The academy intends to purchase 250 scissors.
Which supplier is the better value for money?
Answer type: Multiple choice type 1
A: Desk Supplies
B: Delaware Resources
ANSWER: B
WORKING:
Desk = \dfrac{250}{4} = 62.5 packs = \, 63 packs
63 \times £9.95 + £4.95 = £626.85 + £4.95 = £631.80
Delaware = \dfrac{250}{2} = 125 packs
125 \times £4.99 + £2.99 = £623.75 + £2.99 = £626.74
Delaware Resources is the best buy.
QUESTION 13 [3 marks]
Thomas is 54 years old. His eldest son is \dfrac{1}{2} is age. His youngest son is \dfrac{1}{3} of his age.
Work out the age difference between his oldest and youngest son.
Answer type: Simple text answer
ANSWER: Difference = 9 years
WORKING:
Eldest son’s age =54\div2=27
Youngest son’s age 54\div3=18
27-18=9 years difference
QUESTION 14 [2 marks]
The price of a local football club season tickets increased by 4\%.
The new price of a season ticket is £98.80
What was the price before this increase?
Answer type: Simple text answer
ANSWER: £95
WORKING:
£98.80 \div 1.04 = £95
QUESTION 15 [5 marks]
100 students in grade 11 either study French or German or Italian.
47 of the students are girls while the rest are boys.
12 girls study French. 15 girls and 17 boys study German.
A total of 30 students study Italian.
Work out how many boys study Italian.
Answer type: Simple text answer
ANSWER: 10
WORKING:
