PAPER 19
PAPER 19A
(Q1) QUESTION 1 [1 mark]
Calculate 6.284-3.691
Answer type: Simple text answer
ANSWER: 2.593
(Q2) QUESTION 2 [1 mark]
There are adults and children in a cinema.
There are 24 adults.
25\% of the people at the cinema are children.
Work out the total number of people at the cinema.
Answer type: Simple text answer
ANSWER: 32
WORKING:
24 \div 0.75 = 32 people
(Q3) QUESTION 3 [1 mark]
Work out \dfrac{4}{5}\div\dfrac{3}{7}
Answer type: Fraction
ANSWER: \dfrac{28}{15}
WORKING:
\dfrac{4}{5}\div\dfrac{3}{7}=\dfrac{4}{5}\times\dfrac{7}{3}=\dfrac{28}{15}(Q4) QUESTION 4 [1 mark]
In a class of 42 students, the ratio of male students : female students is 2 : 4
How many female students are there?
Answer type: Simple text answer
ANSWER: 28
WORKING:
42\div(2+4)=7\\ 7\times4=28(Q5) QUESTION 5 [1 mark]
What is 6^3 ?
Answer type: Simple text answer
ANSWER: 216
(Q6) QUESTION 6 [1 mark]
Write down the cube root of 27
Answer type: Simple text answer
ANSWER: 3
(Q7) QUESTION 7 [1 mark]
What are the names of shapes A and C?
Answer type: Multiple choice type 1
A: Cylinder and Cone
B: Cylinder and square-based pyramid
C: Cone and sphere
D: Cuboid and sphere
ANSWER: A
(Q8) QUESTION 8 [1 mark]
If x=3
Work out the value of 4x^3
Answer type: Simple text answer
ANSWER: 108
WORKING:
4\times3^3=4\times27=108(Q9) QUESTION 9 [1 mark]
Work out \dfrac{1}{4} of £15
Answer type: Simple text answer
ANSWER: £3.75
(Q10) QUESTION 11 [1 mark]
What 3D shape can be created with the net shown?
Answer type: Multiple choice type 1
A: Cube
B: Frustum
C: Square-based pyramid
D: Cube
ANSWER: A
(Q11) QUESTION 12 [2 marks]
As an experiment in a maths class a student rolls an unfair die 80 times. The die lands on six on 52 occasions. Based on this information, if he were to roll the die for a total of 200 times, how many times would we expect the die to land a six?
Answer type: Simple text answer
ANSWER: 130
WORKING:
Fraction of times the die lands on six =\dfrac{52}{80}=\dfrac{13}{20}
200\times\dfrac{13}{20}=130(Q12) QUESTION 13 [1 mark]
Work out 9+(5-1) \times 3
Simple text answer
ANSWER: 21
WORKING:
9+(5-1) \times 3=9+4\times3=9+12=21(Q13) QUESTION 14 [2 mark]
Emma needs to buy 30 packs of printer paper and 22 printer ink cartridges.
Each pack of printer paper costs £2.95 and ink cartridges cost £6.95 each.
Estimate how much these items will cost.
Answer type: Simple text answer
ANSWER: £230
WORKING:
(30 \times £3) + (20 \times £7) = £230
PAPER 19B
QUESTION 1 [3 marks]
A student records the number of cars each of his classmates family has.
They record this data in a table.
Work out the total number of cars the families of the class have.
Answer type: Simple text answer
ANSWER: 54
WORKING:
(0\times2) + (1 \times 12) + (2 \times 8) + (3 \times 6) + (4 \times 2) = 54 cars
QUESTION 2 [2 marks]
If y=4 and t=2, work out the value of x given, y=5x-3t
Answer type: Simple text answer
ANSWER: x= 2
WORKING:
y=5x-3t
4=5x-(3\times2)
4=5x-6
5x=4+6
x=\dfrac{10}{5}=2
QUESTION 3 [2 marks]
A coach carrying children on a school trip travels 60 miles per hour in the first 2 hours then at 20 miles per hour for a further 1 and a half hours.
How many miles does the coach travel on this journey in total?
Answer type: Simple text answer
ANSWER: 150
WORKING:
Distance travelled in the first 2 hours = 2\times60=120
Distance travelled in the final 1.5 hours = 30
Total distance travelled = 120+30=150 miles
QUESTION 4 [3 marks]
A biology tutor wishes to bulk purchase some notepads for his students. He wants to buy 25 notepads. There is a 3 for the price of 2 offer on the notepads he wishes to buy.
How many notepads will the tutor have to pay for in order to receive 25?
Answer type: Simple text answer
ANSWER: 17
WORKING:
25\div3=8\dfrac{1}{3}
8\dfrac{1}{3}\times2=16\dfrac{2}{3}
So the tutor will need to pay for 17 in order to receive 25 notepads.
QUESTION 5 [2 marks]
Work out (3.75-0.28)^2-3.076
Give your answer as a decimal rounded to 2 decimal places.
Answer type: Simple text answer
ANSWER: 8.96
QUESTION 6 [3 marks]
Ruth buys a sofa for £340
She pays a deposit of 15\% and the rest of the money in monthly payments of £17
How many monthly payments will Ruth need to pay?
Answer type: Simple text answer
ANSWER: 17
WORKING:
340 \times 0.85 = 289289 \div 17 = 17 months
QUESTION 7 [2 marks]
Find the missing angle labelled B
Answer type: Simple text answer
ANSWER: 84 \degree
WORKING:
180 - 64 - 32 = 84\degree
QUESTION 8 [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 3 or 4 ?
Give your answer as a fraction.
Answer type: Fraction
ANSWER: \dfrac{5}{12}
WORKING:
Possible combinations that give a score of 3 or 4:
1+2, 2+1, 1+3, 2+2, 3+1
Probability of the score being 3 or 4 = \dfrac{5}{4\times3}=\dfrac{5}{12}
QUESTION 9 [2 marks]
Find the value of angle x\degree
Answer type: Simple text answer
ANSWER: x= 40 \degree
WORKING:
x = (180-100) \div 2 = 40\degree
QUESTION 10 [1 mark]
Choose the front elevation of the 3D shape shown.
Answer type: Multiple choice type 1
A: 
B: 
C: 
ANSWER: A
QUESTION 11 [2 marks]
Ben went on holiday to Australia. He changed £350 into Australian dollars (\$).
The exchange rate was £1 = \$1.9
Work out how many Australian dollars Ben should have received.
Answer type: Simple text answer
ANSWER: $665
WORKING:
350 \times 1.9 = \$ 665
QUESTION 12 [2 marks]
The diagram shows the locations of several Towns.
Using the diagram, find the distance of Town J from Town L.
Answer type: Simple text answer
ANSWER: 60 km
QUESTION 13 [7 marks]
Below is a trapezoidal prism.
The trapezium’s parallel sides have lengths 45 cm and 60 cm and its perpendicular height is 20 cm.
The length of the prism is 80 cm.
The volume, V, of the prism is given by: V = \text{Area of cross-section} \times \text{Length}
Work out the volume of the prism.
Answer type: Simple text answer
ANSWER: 84000 cm^3
WORKING:
Area of cross section =\dfrac{1}{2}\times(45+60)\times20= 1050 cm^2
Volume of prism =1050\times80=84000 cm^3
QUESTION 14 [6 marks]
Find the area of the compound shape.
Answer type: Simple text answer
ANSWER: 74 cm^2
WORKING:
Area of the left hand side rectangle is 10\times(11-6)= 50 cm^2
Area of the right hand side rectangle is 6\times4= 24 cm^2
Total area: 50 + 24 = 74 cm^2
QUESTION 15 [4 marks]
Shaqil has some green and pink counters in a bag.
The ratio of green counters to total counters in the bag is 3:7
If Shaqil has 9 green counters, how many pink counters does he have?
Answer type: Simple text answer
ANSWER: 12
WORKING:
9 : 2121 - 9 = 12 pink counters