Home/ Mathematics/ Grade 7/ Full Grade 7 test

Test

Full Grade 7 test

Full Grade 7 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: 25Estimated time: 46 minutes

Start a test→

Solution history View

Enable solution history?

Test results will be stored only on this device in your browser’s local storage. They will not be sent to the Catestia.com database. If you disable this feature, all saved history will be permanently deleted.

Disable and delete history?

Disabling solution history will permanently delete all test results saved on this device. Are you sure you want to continue?

Start a test »

Question 1out of 25

A triangle has area 88 cm² and base 16 cm. Find the corresponding height.

3 cm

16 cm

11 cm

20 cm

4 cm

Question 2out of 25

A parallelogram has area 70 cm² and height 5 cm. Find its base length.

3 cm

14 cm

17 cm

12 cm

5 cm

Question 3out of 25

In the table, x and y are inversely proportional. Find the missing value.

x	4	6
y	15	?

For inversely proportional quantities, the product remains constant: x × y = k.

Find the table column in which both x and y are known.
Multiply them to obtain the constant product k.
Divide the constant product by the x-value in the column where y is missing: y = k ÷ x.

The result is the missing value in the table.

Question 4out of 25

How many integers satisfy 0 < x < 5?

Question 5out of 25

A parallelogram has base 10 cm and height 6 cm. Calculate its area.

83 cm²

60 cm²

84 cm²

66 cm²

90 cm²

Question 6out of 25

Solve the inequality: x + 2 > 9.

x < 7

x > 9

x > 7

x < 9

Question 7out of 25

Which expression is equal to 6⁻¹?

-6¹

6¹

1/6¹

1/(-6¹)

Question 8out of 25

Same-side interior angles are (x + 8)° and x°. Their total measure is 180°. Find x.

100

Question 9out of 25

If a circle’s radius is multiplied by 3, by what factor does its area increase?

9 times greater

6 times greater

3 times greater

It does not change

Question 10out of 25

Which statement correctly explains the difference between circumference and the area of a circle?

They always mean exactly the same measurement

Circumference is measured in square units

Circumference measures the boundary; area measures the interior

A circle has no radius

Question 11out of 25

Which pair of ordered pairs can belong to the same inverse-proportion relationship?

(3; 60) and (6; 30)

(3; 60) and (6; 120)

(3; 60) and (1.5; 30)

(3; 60) and (4; 61)

Two ordered pairs can belong to the same inverse-proportion relationship only when the product of x and y is equal in both pairs.

Multiply x and y in the first pair.
Do the same for the second pair.
Compare the two products.

Rule: choose the option for which x₁ × y₁ = x₂ × y₂. If the products are different, the pairs do not belong to the same relationship.

Question 12out of 25

3 equally productive workers finish a job in 10 days. How many days will 6 such workers need?

Question 13out of 25

One alternate interior angle is 45°. Find the equal alternate interior angle. The lines are parallel.

73°

31°

67°

45°

48°

Question 14out of 25

An item cost 400 €. Its price increased by 20% in each of two consecutive years. What was the price after the second increase?

400 €

480 €

576 €

560 €

The price increases twice in succession, so the percentage is not calculated from the original price both times. The second increase is calculated from the price obtained after the first year.

Convert the percentage to a multiplier: 1 + p/100.
Multiply the original price by this multiplier to find the price after the first year.
Multiply that result by the same multiplier once more.

Formula: final price = original price × (1 + p/100)².

Question 15out of 25

A quarter-circle has radius 10 cm. Calculate only the arc length using π ≈ 3.14.

16.35 cm

16.87 cm

19.03 cm

15.7 cm

10.82 cm

Question 16out of 25

Point A(-3, 0) is translated twice by the same vector (1, 2). Find the final coordinates.

(-12, 4)

(-12, -13)

(1, -3)

(15, 15)

(-1, 4)

Question 17out of 25

A car covers a route at 60 km/h in 3 h. How many hours will the same route take at 180 km/h?

1 h

7 h

3 h

4 h

2 h

Question 18out of 25

An item costs 200 €. You may choose a 22% discount or a fixed discount of 49 €. Which saves more?

There is not enough information

The fixed discount

The percentage discount

Both discounts are equal

Question 19out of 25

Point A(5, 0) is translated by 0 units in the x-direction and 3 units in the y-direction. Find its new coordinates.

(-2, 2)

(-4, -13)

(-11, 8)

(14, -4)

(5, 3)

Question 20out of 25

A category represents 55% of a pie chart. What is the angle of its sector?

198°

166°

225°

202°

165°

Question 21out of 25

Does 5 belong to the interval (-1, 1]?

Yes

Question 22out of 25

A triangle has base 14 cm and corresponding height 10 cm. Calculate its area.

49 cm²

88 cm²

83 cm²

70 cm²

74 cm²

Question 23out of 25

An item cost 200 €. A 20% discount was applied. What is the new price?

40 €

180 €

160 €

240 €

Question 24out of 25

A semicircle has radius 18 cm. Calculate the area of the semicircle using π ≈ 3.14.

507.85 cm²

510.04 cm²

517.67 cm²

504.87 cm²

508.68 cm²

Question 25out of 25

The radius of a circle is 7 cm. Calculate its area using π ≈ 3.14.

153.86 cm²

148.78 cm²

146.17 cm²

146.2 cm²

163.38 cm²

Time left: 00:00:00

Finish the test

List of tests

Start over

Next testPowers and scientific notation →

←→1–9

Use your keyboard

Use the ← and → arrow keys to move between questions, and numbers 1–9 to select an answer.

Full Grade 7 mathematics test

This complete Grade 7 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.

Choose your test duration

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.

A cat explains a mathematics task at a board

Related mathematics tests

The test is finished

Your test result is

????

We've marked wrong answers in red.