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Full Grade 11 test

Full Grade 11 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: 37Duration in minutes: 61

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Question Nr. 1out of 37

Solve √(x + 4) = 3.

Question Nr. 2out of 37

Calculate |-5|.

Question Nr. 3out of 37

A has 17 elements and A ∩ B has 5. How many are in A \ B?

Question Nr. 4out of 37

Set A has 15 elements, B has 18, and their intersection has 1. How many are in A ∪ B?

Question Nr. 5out of 37

Calculate log_2(8) + log_2(16).

Question Nr. 6out of 37

Solve x⁴ − 45x² + 324 = 0.

sprendinių nėra

x = ±9

x = ±3 arba x = ±6

x = 3 arba x = 6

Question Nr. 7out of 37

Solve cos x = √3/2 on [0°, 360°].

60° ir 120°

30° ir 330°

30° ir 150°

45° ir 135°

Question Nr. 8out of 37

A rectangle has sides x and x − 6, and area 72. Find the positive x.

Question Nr. 9out of 37

The first two geometric-progression terms are 6 and 24. Find q.

Question Nr. 10out of 37

What restriction applies to a logarithm argument?

The logarithm argument must be positive

It must be an integer

It must be negative

It may be any real number

Question Nr. 11out of 37

Solve x⁴ = 2401.

x = ±49

x = −7 arba x = 7

x = 7

x = 0

Question Nr. 12out of 37

For 0 < 1/4 < 1, solve 1/4^x > 1/4^1.

x > 1

x ≤ 1

x < 1

x = 1

Question Nr. 13out of 37

For 0 < 1/4 < 1, solve log_1/4(x) > log_1/4(0.062500).

x > 2

x ≤ 2

x = 2

x < 2

Question Nr. 14out of 37

Numbers 1 and 2 are marked on a number line. What is their distance?

Question Nr. 15out of 37

Solve √(x + 9) = 4.

Question Nr. 16out of 37

Solve x³ = 1.

Question Nr. 17out of 37

Which function is odd?

f(x) = 2

f(x) = x³

f(x) = x²

f(x) = x² + 1

Question Nr. 18out of 37

Does x = 25 satisfy log_5(x) = 2?

Yes

Question Nr. 19out of 37

Solve (x − (-7))/(x − (3)) < 0.

-7 ≤ x ≤ 3

-7 < x < 3

x < -7 arba x > 3

x > 3

Question Nr. 20out of 37

Solve the system -8 < x < 3 and x ≥ -6.

-6 ≤ x < 3

x < -8 arba x ≥ 3

-8 ≤ x ≤ 3

-8 < x < -6

Question Nr. 21out of 37

What transformation does y = −f(x) represent?

Reflection in the y-axis

Horizontal stretch

Shift upward

Reflection in the x-axis

Question Nr. 22out of 37

What does log_a(b) mean?

The root index

The exponent to which the base must be raised to obtain the number

Their difference

The product of base and number

Question Nr. 23out of 37

What type of parity has f(x) = x² + 4?

Even

Odd

Neither

Periodic only

Question Nr. 24out of 37

For 3 > 1, solve 3^x > 3^7.

x < 7

x = 7

x ≥ 7

x > 7

Question Nr. 25out of 37

Simplify tan(135° + 180° · 4).

cos 135°

sin 135°

−tan 135°

tan 135°

Question Nr. 26out of 37

After squaring an irrational equation, a candidate root is obtained. What should be done?

It is always valid

It may be extraneous and must be checked in the original equation

It must always be negative

Squaring never changes solutions

Question Nr. 27out of 37

Calculate log₁₀(100).

-1

Question Nr. 28out of 37

Solve log₁₀(x) = 2.

100

1024

Question Nr. 29out of 37

The graph of y = a^x passes through (3, 64). Find a.

Question Nr. 30out of 37

Initial value 300 decreases by 5% yearly. Find it after 4 years.

300

244.35

280

240

Question Nr. 31out of 37

Calculate arccos(√3/2).

0°

30°

90°

60°

Question Nr. 32out of 37

Which formula describes a vertical shift of y = f(x) by 7 units?

y = 7f(x)

y = f(x + 7)

y = f(x) + 7

y = −f(x)

Question Nr. 33out of 37

Solve ∛(x³ + -3) = ∛-2.

-4

Question Nr. 34out of 37

Calculate the 3th root of 125.

Question Nr. 35out of 37

Calculate 1296^(1/4).

508

747

342

1173

Question Nr. 36out of 37

Solve sin x = 1/2 on [0°, 360°].

60° ir 300°

45° ir 315°

30° ir 150°

30° ir 330°

Question Nr. 37out of 37

What multiplier represents a 45% increase per period?

1.45

0.55

0.45

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