PAPER 8
PAPER 8A
(Q1) QUESTION 1 [1 mark]
What is value of the 2 in the number 0.162 in words?
Answer type: Multiple choice type 1
A: Two thousandths
B: Two tenths
C: Two thousand
D: Two hundredths
ANSWER: A
(Q2) QUESTION 2 [1 mark]
What is the decimal equivalent to 1.5\% ?
Answer type: Simple text answer
ANSWER: 0.015
(Q3) QUESTION 3 [1 mark]
What is \dfrac{1}{4} as a percentage?
Answer type: Simple text answer
ANSWER: 25 \%
(Q4) QUESTION 5 [1 mark]
Given that 28\times1356= 37968
Calculate the following: 2.8 \times 1.356
Answer type: Simple text answer
ANSWER: 3.7968
(Q5) QUESTION 6 [2 marks]
Iron has a density of 7.8 g/cm^3
Calculate the mass of a 3 cm^3 lump of iron.
Answer type: Simple text answer
ANSWER: 23.4 g
WORKING:
\text{Mass}=\text{Density} \times \text{Volume}= (7.8 g/cm^3) \times (3 cm^3) =23.4 g
(Q6) QUESTION 7 [1 mark]
What is 0.5 km equivalent to in mm?
Answer type: Multiple choice type 1
A: 500000 mm
B: 5000000 mm
C: 50000 mm
D: 5000 mm
ANSWER: A
WORKING:
0.5\text{ km} = 500\text{ m}=50000\text{ cm}=500000\text{ mm}(Q7) QUESTION 8 [1 mark]
What 3D shape can be created with the net?
Answer type: Multiple choice type 1
A: Cone
B: Cylinder
C: Sphere
D: Tetrahedron
ANSWER: A
(Q8) QUESTION 9 [1 mark]
What is 70\% of 1250 ml?
Answer type: Simple text answer
ANSWER: 875 ml
(Q9) QUESTION 10 [1 mark]
Find the missing angle labelled A
Answer type: Simple text answer
ANSWER: 51 \degree
WORKING:
Angles in a triangle add up to 180\degree//
180\degree-54\degree-75\degree=51\degree(Q10) QUESTION 11 [1 mark]
Calculate the following: (4+2^2)^2-2
Answer type: Simple text answer
ANSWER: 62
WORKING:
(4+2^2)^2-2=(4+4)^2-2=8^2-2=62(Q11) QUESTION 12 [1 mark]
Evaluate: 25.8-17.85
Answer type: Simple text answer
ANSWER: 7.95
(Q12) QUESTION 13 [1 mark]
Describe the nature of the correlation shown in the scatter graph.
Answer type: Multiple choice type 1
A: Strong positive correlation
B: Strong negative correlation
C: Weak positive correlation
D: Weak negative correlation
ANSWER: A
(Q13) QUESTION 14 [1 mark]
What is the value of
bd-4acwhen a=5, b=8, c=-1 and d=2 ?
Answer type: Simple text answer
ANSWER: 36
WORKING:
bd - 4ac = 8\times2-4\times5\times-1=16+20(Q14) QUESTION 15 [1 mark]
Here are six numbers:
0.42, \,\,\,\, \dfrac{3}{6}, \,\,\,\, \dfrac{3}{9}, \,\,\,\, -1.27, \,\,\,\, 0.55, \,\,\,\, \dfrac{2}{10}Order the numbers from least to most.
Answer type: Multiple choice type 1
A: -1.27, \dfrac{2}{10}, \,\,\,\, \dfrac{3}{9}, \,\,\,\, 0.42, \,\,\,\, \dfrac{3}{6}, \,\,\,\, 0.55
B: -1.27, \dfrac{2}{10}, \,\,\,\, \dfrac{3}{9}, \,\,\,\, \dfrac{3}{6}, \,\,\,\, 0.42, \,\,\,\, 0.55
C: \dfrac{2}{10}, \,\,\,\, \dfrac{3}{9}, \,\,\,\, 0.42, \,\,\,\, \dfrac{3}{6}, \,\,\,\, 0.55, \,\,\,\, -1.27
D: 0.55, \dfrac{3}{6}, \,\,\,\, 0.42, \,\,\,\, \dfrac{3}{9}, \,\,\,\, \dfrac{2}{10}, \,\,\,\, -1.27
ANSWER: A
PAPER 8B
QUESTION 1 [1 mark]
Fifty students were asked how many books they each took to school on Monday.
The results are summarized in the table below.
What is the mode?
Answer type: Simple text answer
ANSWER: 1 book
QUESTION 2 [2 marks]
An extra large lemonade contains 10\% more than a normal bottle.
The extra large bottle contains 660 ml.
How much does the normal bottle contain?
Answer type: Simple text answer
ANSWER: 600 ml
WORKING:
660 ml \div 1.10 = 600 ml
QUESTION 3 [1 mark]
What is \dfrac{1}{7} of 4 weeks?
Give your answer in days.
Answer type: Simple text answer
ANSWER: 4 days
WORKING:
4 weeks = 28 days
\dfrac{28}{7}=4 days
QUESTION 4 [1 mark]
Choose the correct plot of the coordinate (1,9) on the graph below.
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER: A
QUESTION 5 [1 mark]
Write the numbers in increasing order starting with the smallest.
-8,\,\,\,\, 0,\,\,\,\, 3, \,\,\,\, -5, \,\,\,\, -11
Answer type: Multiple choice type 1
A: -11,\,\,\,\, -8,\,\,\,\, -5, \,\,\,\, 0, \,\,\,\, 3
B: -5,\,\,\,\, -8,\,\,\,\, -11, \,\,\,\, 0, \,\,\,\, 3
C: 0,\,\,\,\, 3,\,\,\,\, -5, \,\,\,\, -8, \,\,\,\, -11
D: 3,\,\,\,\, 0,\,\,\,\, -5, \,\,\,\, -8, \,\,\,\, -11
QUESTION 6 [4 marks]
Sarah has started reading a new book.
On Saturday she reads \dfrac{2}{15} of the book.
On Sunday she reads a further \dfrac{1}{3} of the total number of pages in the book.
On Monday she reads another \dfrac{1}{5} of the total number of pages in the book.
On Tuesday she finishes the book.
What fraction of the book did she read on Tuesday?
Write your answer in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{1}{3}
WORKING:
\dfrac{2}{15}+\dfrac{1}{3} + \dfrac{1}{5}= \dfrac{2}{15}+ \bigg(\dfrac{1}{3} \times \dfrac{5}{5} \bigg) + \bigg(\dfrac{1}{5}\times \dfrac{3}{3} \bigg)
\dfrac{2}{15}+\dfrac{5}{15}+\dfrac{3}{15}=\dfrac{10}{15}
1-\dfrac{10}{15}=\dfrac{1}{3}
QUESTION 7 [6 marks]
The diagram below shows a rectangle with a section missing.
Work out the perimeter of the shape.
Answer type: Simple text answer
ANSWER: 630 cm
WORKING:
120-55=65 cm
195-70=125 cm
Perimeter =120+70+65+125+55+195=630 cm
QUESTION 8 [6 marks]
Jordan finishes college at 16:30 h.
He walks to his mum’s work 0.24 km away, at a speed of 2 km/h.
He waits there 7 minutes for his mum to finish work before she drives them both 7 km back home at an average speed of 26 km/h.
What time does Jordan arrive home?
Answer type: Multiple choice type 1
A: 17:00
B: 16:56
C: 17:07
D: 16:53
ANSWER: A
WORKING:
Walk: \text{T} = \dfrac{\text{D}}{\text{S}} = \dfrac{0.24}{2} = 0.12 hours = \, 7 minutes
Driving: \dfrac{7}{26} = 0.2692 hours = \, 16 minutes
Total: 7 + 7 + 16 = 30 minutes
Adding to 16:30 gives an arrival time of 17:00
QUESTION 9 [3 marks]
Rachel deposits £2200 into a savings account that pays 1.5\% compound interest per year.
How much is in the saving account after 2 years?
Give your answer in pounds, to two decimal places.
Answer type: Simple text answer
ANSWER: £2266.50
WORKING:
Year 1: £2200 \times 1.105 = £2233
Year 2: £2233 \times 1.015 = £2266.50
QUESTION 10
A high street shop records the number of days it rains in a month and the number of umbrellas they sell.
Question 10(a) [2 marks]
A scatter graph is plotted to show the relationship between the number of rainy days in a month and the number of umbrellas sold.
Choose the correct plot.
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER: A
Question 10(b) [2 marks]
Use the graph to estimate the number of whole umbrellas they will sell if it rains for 10 days in a month.
Answer type: Simple text answer
ANSWER: 8
QUESTION 11 [4 marks]
Some numbered raffle tickets are placed in a hat.
The tickets are numbered 1 to 50 inclusive.
A ticket is selected at random.
Calculate the probability that the ticket is a factor of 48
Answer type: Fraction
ANSWER: \dfrac{1}{5}
WORKING:
The factors of 48 are:
1 and 48, 2 and 24, 3 and 16, 4 and 12, 6 and 8
This means that 10 numbers out of the 50 in the hat are factors of 48
The probability that the ticket is a factor of 48 is \dfrac{10}{50} which can be simplified to \dfrac{1}{5}
QUESTION 12 [6 marks]
A castle under siege has enough food for 300 men for 90 days.
After 40 days, 150 men have left the castle.
How long would the food last at the same rate?
Answer type: Simple text answer
ANSWER: 100 days
WORKING:
300 men \times \, 90 days of food = \, 27000 days worth of food for one person
300 men \times \, 40 days of food = \, 12000 days worth of food for one person used
15000 days of food \div \, 150 men = \, 100 days worth of food left
QUESTION 13 [2 marks]
A business wants to increase its number of employees by 65\% to 20460
How many employees does the company currently have?
Answer type: Simple text answer
ANSWER: 12400
WORKING:
20460 \div 1.65 = 12400
QUESTION 14 [2 marks]
The diagram shows the locations of several Towns.
Using the diagram, find the distance of Town B from Town I.
Answer type: Simple text answer
ANSWER: 30 km
QUESTION 15 [2 marks]
A bag of garden stones weighs 20 kg
Given that each individual stone weighs 0.01 kg, work out how many stones are in a bag.
Answer type: Simple text answer
ANSWER: 2000
WORKING:
20 \div 0.01 = 2000 stones