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Full Grade 10 test

Full Grade 10 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.

Question qty: 25Duration in minutes: 45

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Question Nr. 1out of 25

The longer side of a golden rectangle is 110 cm. Approximate the shorter side.

55 cm

178.0 cm

68.0 cm

108 cm

Question Nr. 2out of 25

Simplify tan(180° − 35°).

−cos 35°

−tan 35°

tan 35°

sin 35°

Question Nr. 3out of 25

An experiment is repeated 70 times and event probability is 40%. About how many occurrences are expected?

Question Nr. 4out of 25

Triangle sides are 8 cm, 15 cm and 17 cm. Find the angle between the first two sides.

60°

90°

45°

30°

Question Nr. 5out of 25

Mix 30 g of a 30% solution and 60 g of an 60% solution. What is the concentration of the mixture?

72.75

42.32

67.59

91.3

Question Nr. 6out of 25

Three consecutive sides of a tangential quadrilateral are 13 cm, 10 cm and 13 cm. Find the fourth.

20 cm

16 cm

21 cm

6 cm

40 cm

Question Nr. 7out of 25

Simplify sin(180° − 19°).

sin 19°

−sin 19°

cos 19°

−cos 19°

Question Nr. 8out of 25

What do solutions of a two-equation system mean graphically?

Parallel graphs have infinitely many solutions

Each intersection point is one solution pair

Every system has one solution

Use only the x-intercept

Question Nr. 9out of 25

Two triangle sides are 3 cm and 3 cm, and the sine of their included angle is 0.80. Find the area.

30.01

3.6

7.97

15.56

16.79

Question Nr. 10out of 25

What must be done after obtaining roots of a rational equation?

Set denominators to zero

Accept every obtained root

Check only the numerator

Check denominator restrictions and substitute the result

Question Nr. 11out of 25

A figure has perimeter 40 cm. The scale factor to a larger figure is 5. Find its perimeter.

3 cm

200 cm

43 cm

156 cm

178 cm

Question Nr. 12out of 25

Similar figures have perimeters 45 cm and 180 cm. What is their area ratio?

Question Nr. 13out of 25

In 100 trials, an event occurred 64 times. Find the experimental probability.

64/36

64/100

36/100

100/64

Question Nr. 14out of 25

Corresponding sides of similar figures are 9 cm and 36 cm. Find the scale factor.

Question Nr. 15out of 25

An angle bisector divides the opposite side into 48 cm and X cm. The adjacent sides are 12 cm and 8 cm. Find X.

28 cm

32 cm

41 cm

37 cm

39 cm

Question Nr. 16out of 25

How many different pairs can be chosen from 7 students? Order within a pair does not matter.

Question Nr. 17out of 25

The variance is 25. Find the standard deviation.

Question Nr. 18out of 25

When is the product rule used instead of the addition rule?

Ignore one choice

Use the product rule for successive “and” choices

Always add the numbers

Always subtract them

Question Nr. 19out of 25

Where is y = (x − x₁)(x − x₂), opening upward, negative?

For every x

Between the roots, because the parabola opens upward

Only at the vertex

Outside the roots

Question Nr. 20out of 25

Each new term equals the sum of the previous two. They are 10 and 15. Find the new term.

Question Nr. 21out of 25

A figure has area 40 cm². The scale factor to a larger figure is 3. Find its area.

17 cm²

430 cm²

10 cm²

402 cm²

360 cm²

Question Nr. 22out of 25

Standard deviation is 4. Every value is multiplied by 5. What is the new standard deviation?

Question Nr. 23out of 25

Solve x + y = 9 and x − y = -3.

(2, 2)

(-6, -17)

(-10, -15)

(3, 6)

(-6, -7)

Question Nr. 24out of 25

The sides are 8 cm, 15 cm and 17 cm, and area is 60 cm². Find the circumradius using S = abc/(4R).

8.5

7.1

15.75

9.58

8.27

Question Nr. 25out of 25

Solve (x − (-1))(x − (6)) ≤ 0.

x ≥ -1

-1 ≤ x ≤ 6

x ≤ -1 arba x ≥ 6

-1 < x < 6

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Full Grade 10 mathematics test

This complete Grade 10 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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