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Full Grade 3 test

Full Grade 3 mathematics test with mixed topics, dynamically selected questions and a choice of duration. Practise before an assessment or review the whole course at your own pace.

Questions: 37Estimated time: 46 minutes

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Question 1out of 37

Calculate: 51 × 0.

Question 2out of 37

A square has a perimeter of 24 cm. What is its area?

20 cm²

33 cm²

31 cm²

36 cm²

13 cm²

All four sides of a square have the same length.

Divide the perimeter by 4 to find the length of one side.
Multiply the side length by itself.
Write the answer in square centimetres.

Formula: side = perimeter ÷ 4, area = side × side.

Question 3out of 37

9 children received 6 balloons each. How many balloons were received altogether?

Question 4out of 37

The drawing shows a triangle, mark its type.

Acute

Obtuse

Right

Question 5out of 37

A room floor is 10 m long and 2 m wide. How many square metres of carpet are needed to cover the whole floor?

32 m²

4 m²

17 m²

22 m²

20 m²

Question 6out of 37

One box contains 9 pencils. How many pencils will 10 such boxes contain?

Question 7out of 37

28 ÷ ? = 4. Find the missing divisor.

Question 8out of 37

9 × ? = 45. Find the missing factor.

Question 9out of 37

48 flowers are planted 8 in each bed. How many beds are planted?

Question 10out of 37

A rectangle has an area of 24 cm² and one side is 3 cm long. What is the length of the other side?

4 cm

9 cm

11 cm

8 cm

3 cm

Question 11out of 37

2 buses carry 6 pupils each. How many pupils travel altogether?

Question 12out of 37

A boy colored a rectangle in a squared notebook: 3 squares long and 8 squares wide. How many squares did he color in total?

Question 13out of 37

A triangle has sides 5 cm, 5 cm and 9 cm. What is its perimeter?

29 cm

15 cm

14 cm

23 cm

19 cm

Question 14out of 37

The rectangle depicted in the drawing, find its area.

Question 15out of 37

Find the unknown factor: ? × 8 = 56.

Question 16out of 37

Which formula is used to calculate the area of a rectangle?

S = a × a × a

S = a + b

S = a × b

S = 2 × (a + b)

The area of a rectangle shows how many square units fit inside it.

Identify the length and width of the rectangle.
Multiply the length by the width.
Write the answer in square units.

Formula: A = a × b.

Question 17out of 37

7 × ? = 42. Find the missing factor.

Question 18out of 37

Two sides of a triangle are 4 cm and 8 cm. Which length could be the third side?

4 cm

13 cm

12 cm

11 cm

For three segments to form a triangle, the third side must be shorter than the sum of the two given sides and longer than their difference.

Add the given side lengths: {a} + {b}. The third side must be shorter than this sum.
Find the difference between the given side lengths: |{a} − {b}|. The third side must be longer than this difference.
Choose the listed length that satisfies both conditions.

Rule: if the third side has length c, then |{a} − {b}| < c < {a} + {b}.

Question 19out of 37

Find the divisor: 21 ÷ ? = 7.

Question 20out of 37

Calculate: 4 × 10 ÷ 10.

Question 21out of 37

The first rectangle has sides 7 cm and 8 cm. The second rectangle has sides 4 cm and 8 cm. Which rectangle has the larger area?

Compare the perimeters instead

The second rectangle has the larger area

The rectangles have equal areas

The first rectangle has the larger area

Question 22out of 37

Calculate: 3 × 3 × 3.

Question 23out of 37

The number 13 is ¹⁄₂ of a whole. What is the whole?

Question 24out of 37

A triangular garden bed has sides 8 m, 5 m and 5 m. How many metres of fence are needed around it?

24 cm

6 cm

26 cm

18 cm

16 cm

Question 25out of 37

Calculate: 31 × 1.

128

329

Question 26out of 37

40 objects are arranged in groups of 8. How many groups are formed?

Question 27out of 37

The side lengths of a triangle are 3 cm, 6 cm and 5 cm. What type of triangle is it by sides?

Equilateral

Isosceles

Scalene

Question 28out of 37

? ÷ 7 = 5. Find the unknown dividend.

Question 29out of 37

56 cards are shared equally among 7 children. How many cards does each child get?

Question 30out of 37

Calculate: 64 ÷ 64.

Question 31out of 37

The square depicted in the drawing, find its area.

Question 32out of 37

Calculate: 78 ÷ 78.

Question 33out of 37

Calculate: 3 × 1 + 3 × 1.

Question 34out of 37

72 ÷ 8 = ?

Question 35out of 37

Enter the missing factor: 4 × ? = 32.

Question 36out of 37

Find ⁸⁄₉ of 81.

To find the stated fraction of a number, first find the size of one equal part and then take the required number of parts.

Divide the whole number by the denominator of the fraction.
Multiply the size of one part by the numerator.

Formula: fraction of a number = whole number ÷ denominator × numerator.

Question 37out of 37

Which fraction is equivalent to ²⁄₈?

⁴⁄₈

⁴⁄₁₆

⁴⁄₁₀

²⁄₁₆

Equivalent fractions may look different, but they show the same part of a whole.

Imagine half a pizza. You can divide it into 2 pieces and take 1 piece, or divide it into 4 pieces and take 2 pieces. In both cases, you have the same amount of pizza.

See how many times the top number of the fraction has been increased.
Check the bottom number – it must be increased by the same factor.
Choose the fraction in which both numbers were multiplied by the same number.

Example: ¹⁄₂ = ²⁄₄, because both the top and bottom numbers were multiplied by 2.

You cannot change only one number of a fraction or simply add the same number to both numbers.

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Full Grade 3 mathematics test

This complete Grade 3 mathematics test helps students review the main school topics in one mixed set of tasks. Questions are selected from different tests for this grade, so each attempt can be different.

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Choose a 15, 30, 45 or 60 minute test. A longer duration creates a larger task set covering calculation, word problems, geometry and other topics studied in the grade.

Practise before an assessment

A full grade test is useful for independent checking, revision before a class assessment or mathematics exam preparation. Work at your own pace, review the result and try again: dynamic questions help students learn methods instead of memorising previous answers.

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