🧮 Grade 6 Practice Paper 1

🚫 No Calculator ⏱ 45 Minutes 📝 35 Marks 30 Questions
Instructions: Answer all questions. Write your answers in the boxes provided. Do not use a calculator for this paper. Show your working where asked — you may get marks for working even if your final answer is wrong. Marks for each question are shown in brackets.
Name:
Date:
Section 1: Number & Sequences
1
What is the value of the digit 5 in the number 253,718?
[1]
2
Round 83,547 to the nearest thousand.
[1]
3
Write the next two terms of this sequence: 2, 5, 10, 17, 26, ___, ___
[1]
4
Find the HCF (Highest Common Factor) of 12 and 20.
[1]
5
Find the LCM (Lowest Common Multiple) of 6 and 8.
[1]
6
Write these numbers in order, smallest first: 4.05, 4.5, 4.005, 4.50
[1]
7
Calculate: −5 + 12
[1]
8
Write these numbers in order, smallest first: −4, 2, −7, 0
[1]
Section 2: Calculation
9
Calculate: 587 + 364
[1]
10
Calculate: 1,003 − 477
[1]
11
Calculate: 68 × 7
[1]
12
Calculate: 432 ÷ 6
[1]
13
Using BIDMAS, calculate: 15 − 2 × 4 + 3
[1]
Section 3: Fractions, Decimals & Percentages
14
Simplify the fraction 18/24.
[1]
15
Calculate 1/2 + 2/3. Give your answer as a fraction.
[2]
16
Calculate 3/4 × 2/5. Give your answer in its simplest form.
[1]
17
Find 40% of 85.
[1]
18
Write 0.375 as a fraction in its simplest form.
[1]
19
Calculate: 0.6 × 9
[1]
Section 4: Algebra
20
Simplify: 5x + 3 + 2x − 4
[1]
21
If a = 5, find the value of 3a − 7.
[1]
22
Solve the equation: 4x + 3 = 23
x =
[2]
Section 5: Geometry & Measure
23
Two angles in a triangle are 48° and 75°. Find the third angle.
°
[1]
24
Find the area of a triangle with base 10 cm and height 8 cm.
cm²
[1]
25
A cuboid measures 6 cm × 5 cm × 4 cm. Find its volume.
cm³
[1]
26
Convert 3,750 metres into kilometres.
km
[1]
Section 6: Statistics & Probability
27
The mean of five numbers is 9. Four of the numbers are 7, 11, 8 and 12. Find the fifth number.
[2]
28
Find the mode of: 3, 7, 3, 9, 5, 3, 7
[1]
29
A spinner has 8 equal sections: 3 red, 2 blue, 3 green. What is the probability of landing on blue? Write as a fraction in its simplest form.
[1]
30
A car travels 150 km using 12.5 litres of fuel. How far can it travel on 20 litres of fuel?
km
[2]
45:00

✅ Mark Scheme — Paper 1

150,000 value of 5 in 253,718
284,000
337, 50 differences: +3,+5,+7,+9,+11,+13
44 HCF(12,20)
524 LCM(6,8)
64.005, 4.05, 4.5
77
8−7, −4, 0, 2
9951
10526
11476
1272
1310 15 − 8 + 3
143/4
157/6 or 1 1/6 [2 marks]
163/10
1734
183/8
195.4
207x − 1
218
22x = 5 [2 marks] 4x=20
2357° 180−48−75
2440 cm²
25120 cm³
263.75 km
277 [2 marks] sum=45, 7+11+8+12=38
283
291/4
30240 km [2 marks] 150÷12.5×20