PAPER 12
PAPER 12A
(Q1) QUESTION 1 [1 mark]
What is 8\% of 40 km?
Answer type: Simple text answer
ANSWER: 3.2 km
(Q2) QUESTION 2 [1 mark]
Write the value of the 2 in the number 0.162 in words.
Answer type: Multiple choice type 1
A: Two thousandths
B: Two hundredths
C: Two tenths
D: Two tens
(Q3) QUESTION 3 [1 mark]
What is 1\dfrac{5}{7}+\dfrac{4}{3} as an improper fraction?
Answer type: Fraction
ANSWER: \dfrac{64}{21}
WORKING:
1\dfrac{5}{7}+\dfrac{4}{3}=\dfrac{12}{7}+\dfrac{4}{3}=(\dfrac{12}{7}\times\dfrac{3}{3})+(\dfrac{4}{3}\times\dfrac{7}{7})=\dfrac{36}{21}+\dfrac{28}{21}=\dfrac{64}{21}(Q4) QUESTION 4 [1 mark]
What is the name of the 3D shape can be created with the 2D net shown above?
Answer type: Multiple choice type 1
A: Cuboid
B: Cube
C: Frustum
D: Tetrahedron
ANSWER: A
(Q5) QUESTION 5 [1 mark]
Work out an estimate for:
\dfrac{20.2\times99.5}{10.11-5.95}
Answer type: Multiple choice type 1
A: 500
B: 50
C: 40
C: 4000
ANSWER: A
WORKING:
\dfrac{2000}{10-6} = 500
(Q6) QUESTION 6 [1 mark]
Work out \dfrac{3-(18 \div 6)^2}{-2}
Answer type: Simple text answer
ANSWER: 3
WORKING:
\dfrac{3-(18 \div 6)^2}{-2}=\dfrac{3-3^2}{-2}=\dfrac{-6}{-2}=3(Q7) QUESTION 7
Data set A has a median value of 18.6
Data set B is comprised of 7 data points:
12, 17, 29, 16, 33, 8, 22
Question 7(a) [1 mark]
Calculate the median of set B.
Answer type: Simple text answer
ANSWER: 17
Question 7(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: Data set A
(Q8) QUESTION 8 [1 mark]
Write the numbers in increasing order starting with the smallest.
half a million, two hundred thousand, fifty five thousand, nine hundred thousand, quarter of a million
Answer type: Multiple choice type 1
A: fifty five thousand, two hundred thousand, quarter of a million, half a million, nine hundred thousand
B: fifty five thousand, two hundred thousand, nine hundred thousand, quarter of a million, half a million
C: two hundred thousand, fifty five thousand, quarter of a million, half a million, nine hundred thousand
D: nine hundred thousand, half a million, quarter of a million, two hundred thousand, fifty five thousand
ANSWER: A
(Q9) QUESTION 10 [1 mark]
Choose the correct front elevation of the 3D shape.
Answer type: Multiple choice type 1
A: 
B: 
C: 
D: 
ANSWER: A
(Q10) QUESTION 11 [2 marks]
A statue with a volume of 3 m^3 is carved out of Mahogany, which has a density of 50 kg/m^3.
Calculate the mass of this statue in kg.
Answer type: Simple text answer
ANSWER: 150 kg
WORKING:
\text{Mass}=\text{volume} \times \text{density} = 3\times50=150 kg
(Q11) QUESTION 13 [1 mark]
This is a conversion graph between cm and inches.
Using the conversion graph, what is 15 cm in inches?
Answer type: Simple text answer
ANSWER: 6 inches
WORKING:
(Q12) QUESTION 14 [1 mark]
Calculate the value of x^3\times2-8^2\div2+3^2-10^2 when x = 5
Answer type: Simple text answer
ANSWER: 127
WORKING:
5^3\times2-8^2\div2+3^2-10^2=125\times2-64\div2+9-100=125\times2-32+9-100=250-32+9-100=127(Q13) QUESTION 15 [1 mark]
Choose the correct plot of the coordinate (4,8) on the graph below.
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER: A
PAPER 12B
QUESTION 1 [1 mark]
Write the following number with numerals:
eight hundred and, four hundredths and one thousandths
Answer type: Simple text answer
ANSWER: 800.041
QUESTION 2 [2 marks]
It takes 4 people 2 days to build a wall.
How long would it take if only 2 people to build the same wall?
Give your answer in days.
Answer type: Simple text answer
ANSWER: 4 days
WORKING:
4 people \times \, 2 days = 8 days of total work
for 2 people it would take 4 days
QUESTION 3 [2 marks]
What is \dfrac{14}{9}+\dfrac{5}{3} as a mixed number fraction?
Answer type: Multiple choice type 1
A: 3\frac{2}{9}
B: 3\frac{1}{3}
C: 1\frac{2}{3}
D: 2\frac{16}{27}
ANSWER: A
WORKING:
\dfrac{14}{9}+\dfrac{5}{3}=\dfrac{14}{9}+(\dfrac{5}{3}\times\dfrac{3}{3})=\dfrac{14}{9}+\dfrac{15}{9}=\dfrac{29}{9}=3\dfrac{2}{9}QUESTION 4 [1 mark]
Choose the greatest decimal from the options below.
7.9666, \,\,\,\, -7.8999, \,\,\,\, 8.065, \,\,\,\, -8.059,\,\,\,\, 8.049
Answer type: Multiple choice type 1
A: 7.9666
B: -7.8999
C: 8.065
D: -8.059
E: 8.049
ANSWER: C
QUESTION 5 [2 marks]
A student sits 2 maths tests; a calculator paper and a non-calculator paper. Each test is out of 20. If the student scores 18 on the calculator test, and 14 on the non-calculator test, what is their percentage score across both papers, if each paper is equally weighted?
Answer type: Simple text answer
ANSWER: 80 \%
WORKING:
\dfrac{18+14}{20\times2}=80\%QUESTION 6 [3 marks]
A collectors car gains 4\% of its value every year. In 2019, the car is worth £12000
How much will the car be worth after 2 years in 2021?
Answer type: Simple text answer
ANSWER: £12979.20
WORKING:
After year 1: \text{£}12000\times1.04=\text{£}12480
After year 2: \text{£}12480\times1.04=\text{£}12979.20
QUESTION 7 [6 marks]
The diagram shows a plan of some cardboard packaging.
Calculate the total area of the cardboard used.
Answer type: Simple text answer
ANSWER: 111.5 cm^2
WORKING:
Rectangle ABCD : Area =5\times7=35 cm^2
Rectangle CEFG : Area =6\times9=54 cm^2
Triangle DCG : Area = \frac{1}{2} \times 5\times9=22.5 cm^2
Total Area = 35+54+22.5=111.5 cm^2
QUESTION 8 [3 marks]
Jack is making concrete using cement, sand and gravel in the ratio 1 : 2 : 4
He has: 39 kg cement, 112 kg sand and 204 kg gravel
What is the maximum amount of concrete that Jack can make?
Answer type: Simple text answer
ANSWER: 273 kg
WORKING:
39 \times 7 = 273 kg
QUESTION 9 [3 marks]
Samantha is investigating how many minutes 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 10 [6 marks]
The diagram shows a spherical glass paperweight with a radius, r, of 4 cm.
The density of glass is 8 g/cm^3.
Volume of a sphere = \dfrac{4}{3}\pi r^3
You are given that \pi = 3.14
Calculate the mass of the paperweight.
Give your answer correct to 3 significant figures.
Answer type: Simple text answer
ANSWER: 2140 g
WORKING:
Volume = \dfrac{4}{3} \times 3.14 \times 4^3 = 268 cm^3
Mass = 8 \times 268 =2140 g (3 sf)
QUESTION 11
A bus company is looking to survey the age of its passengers. It decides to take a sample by recording the number of adult and children that are passengers on the same 8 am route on nine separate occasions.
Question 11(a) [2 marks]
Choose the correct scatter graph that plots the points from the table, along with the line of best fit.
Answer type: Multiple choice type 1
A:
B:
C:
D:
ANSWER: A
Question 11(b) [1 mark]
Does this data include any outliers? Choose the correct statement.
Answer type: Multiple choice type 1
A: Yes, (8,1)
B: Yes, (6,6)
C: Yes, (9,9)
D: No, there are no outliers
ANSWER: A
Question 11(c) [2 marks]
Using parts (a) and (b) or otherwise, estimate the number of children taking the bus, when there are 8 adults taking the bus.
Give your answer as a whole number.
Answer type: Simple text answer
ANSWER: 8
WORKING:
QUESTION 12 [3 marks]
Daniel cycles to university 5 days a week. He takes the same route every day and his journey to university takes 45 minutes at an average speed of 16 mph.
Given that he returns via the same route, determine how many miles he cycles in one week between home and university.
Answer type: Simple text answer
ANSWER: 120 miles
WORKING:
\text{distance}=\text{speed}\times\text{time} =16\times\dfrac{3}{4}=12 miles
12\times10=120 miles
QUESTION 13 [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 only have one sibling.
Give your answer as a fraction in its simplest form.
Answer type: Fraction
ANSWER: \dfrac{2}{5}
WORKING:
Number of brother and sisters = 1
Number of students = 12
Probability = \dfrac{12}{30} = \dfrac{2}{5}
QUESTION 14 [2 marks]
There are 16600 fans at a football match.
40\% of the fans in attendance support the away side.
How many fans there support the away side?
Answer type: Simple text answer
ANSWER: 6640
WORKING:
16600\times0.4=6640QUESTION 15 [3 marks]
Tom’s Grandma has £60 to give to her four grandchildren.
Tom gets \dfrac{1}{3} of the amount,
Alice gets 0.25 of the amount,
John gets 20\% of the amount
and Susan gets the rest.
Who receives the least amount of money?
Answer type: Multiple choice type 1
A: John
B: Tom
C: Susan
D: Alice
ANSWER: A
WORKING:
Tom=\text{£}60\div3=£20, Alice=\text{£}60\times0.25=£15, John =\text{£}60\times0.2=£12, Susan=\text{£}60-\text{£}20-\text{£}15-\text{£}12=£13
So John gets the least