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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: 35Duration in minutes: 60

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Question Nr. 1out of 35

Solve x/(x + 15) = 6.

-18

-19

-12

-9

Question Nr. 2out of 35

In similar triangles, 7 cm corresponds to 21 cm, while 3 cm corresponds to X. Find X.

9 cm

15 cm

2 cm

10 cm

1 cm

Question Nr. 3out of 35

Two triangles have equal corresponding sides a and b but different included angles. How can their areas be compared using sine?

The smaller sine gives larger area

The triangle with the larger sine has the larger area

Areas are always equal

The angle has no effect

Question Nr. 4out of 35

There are 8 shirt choices and 7 trouser choices. How many outfits are possible?

Question Nr. 5out of 35

Standard deviation is 7. Every value is multiplied by 2. What is the new standard deviation?

Question Nr. 6out of 35

An experiment is repeated 170 times and event probability is 60%. About how many occurrences are expected?

102

161

Question Nr. 7out of 35

An acute angle α has sine 0.60. What is sin(180° − α)?

0.40

0.60

-0.60

Question Nr. 8out of 35

The variance is 14. The value 4 is added to every observation. What is the new variance?

Question Nr. 9out of 35

Solve x + y = 8 and x/y = 1.

(14, -8)

(13, 6)

(-20, 15)

(4, 4)

(-1, -3)

Question Nr. 10out of 35

Which statement describes similar figures?

All sides are equal

Corresponding angles are equal and sides are proportional

Only perimeters are equal

Only one angle pair is equal

Question Nr. 11out of 35

Which phrase precisely states the Fibonacci rule?

Each term increases by 1

The preceding terms are multiplied

Each term doubles

Each term is the sum of the two preceding terms

Question Nr. 12out of 35

Solve x + y = 12 and x − y = 4.

(8, 4)

(-11, 20)

(-11, -5)

(7, 18)

(12, 14)

Question Nr. 13out of 35

In 160 trials, an event occurred 141 times. Find the experimental probability.

19/160

160/141

141/19

141/160

Question Nr. 14out of 35

A 100 kg product contains 40% water. How many kilograms are dry matter?

60 kg

69 kg

87 kg

26 kg

44 kg

Question Nr. 15out of 35

What does a standard deviation of 0 mean?

All observations are equal

There are no observations

Half the values are negative

The mean is zero

Question Nr. 16out of 35

An angle bisector divides the opposite side into 35 cm and X cm. The adjacent sides are 20 cm and 16 cm. Find X.

28 cm

1 cm

3 cm

12 cm

47 cm

Question Nr. 17out of 35

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

Always add the numbers

Use the product rule for successive “and” choices

Always subtract them

Ignore one choice

Question Nr. 18out of 35

From 8 students, 4 distinct offices are assigned. How many assignments are possible?

1596

1067

1809

244

1680

Question Nr. 19out of 35

How many ordered pairs (x, y) satisfy x + y = 8 and xy = 12?

Question Nr. 20out of 35

Corresponding sides of two similar figures are 4 cm and 12 cm. Compare their areas.

The first is 9 times larger

The second area is 9 times the first

It is 3 times larger

Areas are equal

Question Nr. 21out of 35

What restriction on x applies to 1/(x − (1))?

x = 1

x < 1

x ≠ 1

x > 1

Question Nr. 22out of 35

Two sides and their included angle are known. Which theorem directly finds the third side?

Only Pythagoras

Area formula only

Sine law

Cosine law

Question Nr. 23out of 35

Solve x² < 9.

-3 < x < 3

x > 3

0 < x < 3

x < -3 arba x > 3

Question Nr. 24out of 35

Two triangle sides are 11 cm and 8 cm, and the sine of their included angle is 0.60. Find the area.

5.13

26.4

39.01

26.35

14.32

Question Nr. 25out of 35

Triangle sides are 24 cm, 45 cm and 51 cm. Find the angle between the first two sides.

90°

45°

60°

30°

Question Nr. 26out of 35

How are unit-circle point coordinates related to angle α?

Coordinates do not depend on the angle

x is sine and y is cosine

Both coordinates are tangent

The x-coordinate is cosine and the y-coordinate is sine

Question Nr. 27out of 35

The variance is 25. Find the standard deviation.

Question Nr. 28out of 35

In a triangle, a = 11 cm, sin A = 0.50, and sin B = 0.50. Find b.

10.79

20.56

5.76

15.67

Question Nr. 29out of 35

Find the mean of: 11, 13, 15, 17, 19.

Question Nr. 30out of 35

Does (-3, 4) satisfy x + y = 0 and xy = -16?

Yes

Question Nr. 31out of 35

Solve x² > 25.

x < 5

-5 < x < 5

x > -5

x < -5 arba x > 5

Question Nr. 32out of 35

Find the midpoint of the segment with endpoints (-7, 2) and (-1, 0).

(0, -11)

(12, 9)

(1, 6)

(-4, 1)

(-11, 12)

Question Nr. 33out of 35

The sides are 15 cm, 36 cm and 39 cm, and area is 270 cm². Find the circumradius using S = abc/(4R).

24.47

14.45

11.22

19.5

16.96

Question Nr. 34out of 35

Simplify sin(180° − 62°).

−sin 62°

cos 62°

sin 62°

−cos 62°

Question Nr. 35out of 35

Calculate the population variance of: 13, 13, 21, 21.

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