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Full Grade 5 test

Full Grade 5 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: 43Estimated time: 60 minutes

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Question 1out of 43

Choose the fraction that describes 40 minutes part of an hour.

⁶⁰⁄₄₀

⁴⁰⁄₆₀

⁴⁰⁄₄₀

⁴⁰⁄₁₀

Question 2out of 43

Choose the correct Roman-numeral form of 33.

XXXIV

XXXII

XLIII

XXXIII

Question 3out of 43

What is the total of all values shown in the chart?

Question 4out of 43

Is the number 888 divisible by 2?

Yes

Apply the divisibility rule for 2. The correct answer is yes.

Question 5out of 43

What is the smallest natural number greater than 1102 that is divisible by 5?

1103

1102

1099

1108

1105

Question 6out of 43

Mark the correct decimal equivalent of the MMCDLXXVIII number in the Roman numeral system.

2478

2469

2491

2482

2487

Question 7out of 43

When buying a kebab, you can choose from 3 different types of meat, 2 different types of salad and 3 sauces. How many different kebabs can you choose?

Each kebab contains one choice of meat, one choice of salad and one choice of sauce.

Each type of meat can be paired with every salad choice.
Each resulting pair can be combined with every sauce.
Therefore, multiply the numbers of all three choices.

Rule: number of meat types × number of salad choices × number of sauces.

Question 8out of 43

Solve: x − 2 = 28.

Question 9out of 43

What is the difference between the greatest and smallest values in the chart?

Question 10out of 43

Complete the equality: 6/7 = ?/35.

Question 11out of 43

What is the smallest number that must be added to 2714 to make the result divisible by 5?

Question 12out of 43

Calculate the mean of the data shown in the chart.

Question 13out of 43

The class consists of 28 students, 13 of whom are boys. What part of the classes are girls?

¹⁵⁄₁₃

¹⁵⁄₄₁

¹³⁄₁₅

¹⁵⁄₂₈

First find the number of girls, then compare it with the total number of students in the class.

Subtract the number of boys from the total number of students. This gives the number of girls.
Write the number of girls as the numerator.
Write the total number of students as the denominator.
Simplify the fraction if possible.

Formula: fraction of girls = (all students − boys) / all students.

Question 14out of 43

Calculate and write the answer in Roman numerals: XIV − II.

XII

XVI

XIII

Question 15out of 43

By how many units did the value increase from A to D?

Question 16out of 43

Which direction will the arrow point after a 270° clockwise rotation?
→

↓

↑

→

←

Question 17out of 43

Mark the type of angle shown?

Obtuse

Straight

Acute

Right

Question 18out of 43

8x = 40. Find x.

Question 19out of 43

A door opens at an angle of 90°. What angle remains to make a straight 180° angle?

82°

166°

167°

90°

17°

Question 20out of 43

Mark the correct Roman numeral equivalent of the number 16

XVII

XIV

XVI

Question 21out of 43

The table shows the frequencies of values A–D. Which value occurred most often?

A	B	C	D
3	9	2	5

Question 22out of 43

The glass is half full. Choose the fraction corresponding to this condition.

¹⁄₂

¹⁄₅₀₀

⁵⁰⁄₁

Question 23out of 43

The die has 6 faces, of which 3 have an even number of points. Calculate the probability that the die will roll an even number of points.

25%

100%

33%

50%

Question 24out of 43

x + 3 = 18. Find x.

Question 25out of 43

Two angles of a triangle are 64° and 36°. What is the third angle?

47°

116°

80°

14°

36°

Question 26out of 43

What is the next term of the increasing sequence?
24, 31, 38, 45, 52, ...

This is an increasing arithmetic sequence: every term increases by the same amount.

Subtract the first term from the second to find the common difference.
Check that the other terms increase by the same difference.
Add that difference to the last shown term.

The result is the next term of the sequence.

Question 27out of 43

Which digit should replace ? in the number 253? so that it is divisible by 9?

Question 28out of 43

Mark the correct decimal equivalent of the IV number in the Roman numeral system.

Question 29out of 43

Calculate the value of X
94 - X = 93

Question 30out of 43

Lukas had x stickers. After receiving 13 more, he has 22. How many stickers did he have?

Question 31out of 43

Calculate the perimeter of the square.

66 cm

51 cm

50 cm

60 cm

73 cm

Question 32out of 43

Which number does not follow the sequence pattern?
8, 18, 26, 35, 44, 53

Question 33out of 43

Calculate and write the answer in Roman numerals: XIV + IX.

XXIV

XXII

XXIII

CXXVI

Question 34out of 43

Calculate the area of the highlighted figure. A smaller rectangle has been removed from the larger rectangle.

50 cm²

64 cm²

88 cm²

83 cm²

66 cm²

Question 35out of 43

A teacher has 65 cards. Can they be shared equally among 5 students?

Yes

65 divided by 5 has no remainder.

Question 36out of 43

When buying a cheeseburger, you can choose between 2 different spreads and 4 different cheeses. How many different burgers can you choose?

Question 37out of 43

Two angles of a triangle are 33° and 66°. What is the third angle?

67°

56°

106°

81°

54°

Question 38out of 43

Which number is missing from the sequence?
57, 69, 81, ?, 105, 117

112

Question 39out of 43

The sequence alternates between two different operations. What is its next term?
11, 13, 17, 19, 23, 25, ...

Question 40out of 43

Which Roman numeral comes after XVI?

XVII

XXVI

XVIII

Question 41out of 43

Through what clockwise angle should the first arrow be rotated to obtain the second?
→ → ↑

90°

360°

180°

270°

Question 42out of 43

Which number is divisible by 5?

698

122

4690

2881

7008

Question 43out of 43

Point A(5; 3) is translated 4 squares to the right and 1 squares up. What are its new coordinates?

(-3, -9)

(2, 4)

(9, 4)

(-2, 2)

(-8, 3)

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Full Grade 5 mathematics test

This complete Grade 5 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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