🖩 Grade 6 Practice Paper 2

✅ Calculator Allowed ⏱ 45 Minutes 📝 40 Marks 30 Questions
Instructions: Answer all questions. A calculator may be used for this paper. Write your answers in the boxes. Show working where required — method marks are available. Marks for each question are shown in brackets.
Name:
Date:
Section 1: Number & Calculation
1
Calculate: 4.7 × 8
[1]
2
Calculate: 132.6 ÷ 4
[1]
3
Find: √225
[1]
4
Calculate: 2.3²
[1]
5
What is the next prime number after 23?
[1]
Section 2: Fractions, Decimals & Percentages
6
Write 2/3 as a decimal, correct to 3 decimal places.
[1]
7
Write 3/8 as a percentage.
%
[1]
8
Find 17.5% of £240.
£
[1]
9
A price of £85 is reduced by 20%. What is the new price?
£
[2]
10
Share £126 in the ratio 4 : 5. Write the larger share.
£
[1]
Section 3: Algebra
11
Solve the equation: 2(3x − 4) = 16
x =
[2]
12
If y = 2x² − 3, find the value of y when x = 4.
y =
[1]
13
The nth term of a sequence is 5n − 2. What is the 10th term?
[1]
Section 4: Geometry & Measure
14
A rectangle has perimeter = 54 cm and its length is twice its width. Find the width and length.
Width = cm   Length = cm
[2]
15
Find the area of a parallelogram with base 12 cm and perpendicular height 7 cm.
cm²
[1]
16
A triangular prism has a cross-section with base 6 cm and height 5 cm. The prism is 10 cm long. Find its volume.
cm³
[2]
17
How many minutes are there in 3.5 hours?
minutes
[1]
18
A map has scale 1 : 50,000. Two towns are 6 cm apart on the map. What is the actual distance in km?
km
[2]
19
The exterior angle of a regular polygon is 40°. How many sides does the polygon have?
sides
[2]
Section 5: Coordinates & Transformations
20
Reflect the point (3, 4) in the y-axis. Write the coordinates of the image.
[1]
21
Translate the point (2, −3) by the vector (+4, +5). Write the new coordinates.
[1]
Section 6: Statistics & Probability
22
The mean height of 6 students is 148 cm. A 7th student joins and the new mean is 149 cm. How tall is the 7th student?
cm
[2]
23
What is the probability of NOT rolling a 6 on a standard six-sided die? Write as a fraction.
[1]
24
A bag contains 5 red, 3 blue and 2 yellow balls. What is the probability of picking a ball that is not yellow? Write as a fraction in its simplest form.
[1]
25
In a pie chart, the sector for "Blue" has an angle of 120°. If 40 people chose Blue, how many people were surveyed in total?
people
[2]
Section 7: Problem Solving
26
A recipe for 10 biscuits needs 350 g of flour. How much flour is needed for 14 biscuits?
g
[2]
27
A car travels 180 km in 2.5 hours. What is its average speed in km/h?
km/h
[2]
28
A number is increased by 25% to give 75. What was the original number?
[2]
29
Convert 2.75 litres to millilitres.
ml
[1]
30
Three consecutive even numbers add up to 54. Find the smallest of the three numbers.
[2]
45:00

✅ Mark Scheme — Paper 2

137.6
233.15
315
45.29
529
60.667
737.5%
8£42
9£68 [2] 85×0.8
10£70 5 parts, 1 part=£14
11x = 4 [2] 3x−4=8, 3x=12
1229 2(16)−3
1348 5(10)−2
14w=9 cm, l=18 cm [2] 3w=27
1584 cm²
16150 cm³ [2] ½×6×5×10
17210 minutes
183 km [2] 6×50000=300000cm
199 sides [2] 360÷40
20(−3, 4)
21(6, 2)
22155 cm [2] sum7=1043, 1043−888
235/6
244/5
25120 [2] 40÷(120/360)=120
26490 g [2] 35×14
2772 km/h [2] 180÷2.5
2860 [2] 75÷1.25
292750 ml
3016 [2] 16, 18, 20