CSSE 11+  ·  Maths Mock  ·  45 Questions

11 Plus CSSE Maths Mock Exam for Free

Maths Mock Test — CSSE (Essex Grammar Schools) · Non-Calculator

Six sections covering number, calculations, fractions, algebra, geometry and statistics. Tap an option to check it instantly — wrong answers reveal the correct choice so your child learns as they go.

Practice format · non-calculator — the real CSSE Maths paper uses open-answer questions.

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What this paper covers

The 6 parts of this Maths mock

1

Number & Place Value

Ordering, rounding, negatives and primes.
1

What is the value of the digit 7 in the number 374,562?

2

Which list shows these numbers in order from smallest to largest? −3, 5, −1, 0, 2

3

Round 46,738 to the nearest thousand.

4

Round 3.847 to one decimal place.

5

What is XCIV in Hindu-Arabic numerals?

6

Which of the following is NOT a factor of 36?

7

Which of these numbers is a prime number?

2

Calculations

Mental and written methods for the four operations.
8

What is 4,567 + 2,385?

9

Calculate 8,003 − 2,457.

10

What is 347 × 26?

11

What is 7,344 ÷ 16?

12

Calculate: 5 + 3 × (12 − 4)

13

If 23 × 15 = 345, what is 345 ÷ 15?

14

Find the missing number: ___ × 14 = 546

15

What is 48 ÷ (2 + 6) + 5²?

3

Fractions, Decimals, Percentages & Ratio

Conversions, fractions of amounts and ratio sharing.
16

Which fraction is equivalent to 3/5?

17

Simplify the fraction 24/36 to its simplest form.

18

What is 3/8 as a decimal?

19

What is 35% of 240?

20

What is 5/6 of 42?

21

Convert 0.65 to a percentage.

22

Share £180 in the ratio 2 : 3 : 4. What is the largest share?

23

A recipe for 4 people uses 300 g of flour. How much flour is needed for 10 people?

4

Algebra & Sequences

Equations, function machines and number patterns.
24

If 4x + 7 = 31, what is x?

25

A function machine doubles the input then subtracts 3. If the input is 9, what is the output?

26

What is the next number in the sequence: 3, 7, 15, 31, ___?

27

A sequence begins 5, 11, 17, 23, 29. Which rule describes this sequence?

28

If a = 3 and b = 5, what is the value of 2a² + b?

29

In the sequence 2, ___, 18, 26, 34, what is the missing number?

5

Measurement & Geometry

Units, perimeter, area, angles, shapes and coordinates.
30

How many millilitres are in 2.75 litres?

31

A film starts at 14:45 and lasts 1 hour 50 minutes. What time does it finish?

32

What is the perimeter of this L-shaped figure?

8 cm 4 cm 3 cm 3 cm 5 cm 7 cm
33

What is the area of this triangle?

12 cm 8 cm
34

Angles on a straight line sum to 180°. One angle is 67° and another is 48°. What is the third angle?

35

How many edges does a triangular prism have?

36

What are the coordinates of point P?

1 2 3 4 5 1 2 3 4 5 0 x y P
37

A cuboid has length 8 cm, width 5 cm and height 3 cm. What is its volume?

6

Statistics & Problem Solving

Charts, averages and multi-step word problems.
38

The bar chart shows the number of books read by five students. How many more books did Beth read than Carl?

2 4 6 8 10 0 Books read Ali Beth Carl Dina Eve
39

The pictogram shows ice-cream sales each day. Each ● represents 4 sales. How many ice creams were sold in total from Monday to Friday?

Key: ● = 4 sales Mon Tue Wed Thu Fri
40

The temperatures on five days were: 12 °C, 8 °C, 15 °C, 10 °C, 5 °C. What is the mean temperature?

41

72 students were asked their favourite sport. The pie chart shows the results. How many students chose Swimming?

Football 120° Tennis 90° Swimming 60° Cricket 90° Total: 72 students
42

A shop sells notebooks for £1.35 each and pens for 85p each. James buys 4 notebooks and 6 pens. How much change does he get from a £20 note?

43

A train travels at 60 miles per hour. It leaves at 09:15 and arrives at 11:45. How far does it travel?

44

The Venn diagram shows children who play Football, Tennis or both. How many children play at least one sport?

Football Tennis 8 5 7 4
45

A rectangular garden is 15 m long and 8 m wide. A square patio of side 3 m is built in one corner. The rest of the garden is covered with grass seed. Each box of seed covers 20 m². How many boxes are needed?

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