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Full Grade 9 test

Full Grade 9 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: 32Duration in minutes: 60

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Question Nr. 1out of 32

State the restrictions for 1/((x − (-6))(x − 8)).

x ≠ -6 ir x ≠ 8

x = -6 ir x = 8

Visi realieji skaičiai / All real numbers

x ≠ 2

Question Nr. 2out of 32

Evaluate (5x + 5)/x when x = 2.

7.82

10.74

7.5

2.55

5.46

Question Nr. 3out of 32

Compare the slopes of y = 2x and y = -1x.

The first line has the greater slope

The slopes are equal

The second line has the greater slope

Question Nr. 4out of 32

Give the vertex from the graph.

(2, 2)

(1, 3)

(1, -2)

(-1, 2)

(1, 2)

(2, 1)

Question Nr. 5out of 32

Expand (x − (6))(x − (-5)).

x² + (-1)x + (30)

x² + (-1)x + (-30)

x² + (-30)x + (-1)

x² + (1)x + (-30)

Question Nr. 6out of 32

Find the zeros of y = (x − (-2))(x − 2).

-2 and 2

-2 and -2

Only -2

-1 and 3

2 and 2

Question Nr. 7out of 32

Factorise x² − 14x + 48.

(x − 8)(x − 6)

(x − 14)(x − 48)

(x + 8)(x − 6)

(x + 8)(x + 6)

Question Nr. 8out of 32

A ball’s height is modelled by a downward-opening parabola with coefficient −2. What does its vertex represent?

The graph has no maximum

The vertex represents a maximum height

The vertex represents the starting height only

Every point has the same height

Question Nr. 9out of 32

What is the main substitution idea for a system containing a linear and a quadratic equation?

Express one variable and substitute it into the other equation

Square both equations immediately

Add unrelated sides without coefficients

Ignore the linear equation

Question Nr. 10out of 32

Where does y = 3x² + (-7)x + (-8) cross the y-axis?

(5, 1)

(-2, -10)

(0, -8)

(3, 4)

(3, -12)

Question Nr. 11out of 32

What exactly does the domain of a function mean?

It is always all real numbers

It is only the set of outputs

It is the number of graph points

The domain is the set of allowed input values

Question Nr. 12out of 32

How does increasing |a| affect the width of y = ax²?

Coefficient a changes only the y-intercept

The value of a has no effect

A larger

Question Nr. 13out of 32

A service costs a fixed €12 plus €5 per unit. What is the cost for 13 units?

10 €

19 €

27 €

77 €

28 €

Question Nr. 14out of 32

Factorise x² + 5x + 6.

(x − 2)(x − 3)

(x + 5)(x + 6)

(x + 2)(x + 3)

(x − 2)(x + 3)

Question Nr. 15out of 32

Multiply fractions 4/4 and 2/6.

24/8

6/10

1/3

8/8

Question Nr. 16out of 32

Given y = 2x + (-8), find y when x = 2.

-9

-22

-4

-15

Question Nr. 17out of 32

Find the intersection of y = 4x + (-3) and y = -3x + (4).

(-2, 14)

(-2, 8)

(10, 0)

(-6, -9)

(1, 1)

Question Nr. 18out of 32

An observer is 110 m from a building. The tangent of the elevation angle is 0.50. Find the height.

55 m

1 m

40 m

53 m

80 m

Question Nr. 19out of 32

Given a₁ = 1 and aₙ = aₙ₋₁ + 3, find a_6.

Question Nr. 20out of 32

Continue the geometric sequence: 1, 4, 16, 64, 256

964

1026

1055

1010

1024

Question Nr. 21out of 32

What angle is formed by a tangent and the radius to the point of tangency?

60°

90°

180°

45°

Question Nr. 22out of 32

A central angle over the same arc is 146°. Find the inscribed angle.

73°

150°

137°

135°

160°

Question Nr. 23out of 32

What does a positive discriminant of a quadratic trinomial mean?

It has exactly one root

It cannot be a quadratic trinomial

It has two real roots and can be factored into two linear factors

It has no real roots

Question Nr. 24out of 32

An object casts a 15 m shadow and the sun angle has tangent 1.50. Find the height.

42.44

3.8

22.5

13.08

36.25

Question Nr. 25out of 32

Which line is parallel to y = -3x + (4)?

y = 0 + 4

y = 3x + 4

y = -3x + 6

y = -2x + 4

Question Nr. 26out of 32

The trend line y = 5x + b has slope 5. How should it be interpreted?

y always equals 5

x increases by 5 when y increases by 1

When x increases by 1, predicted y increases by 5

The variables have no relationship

Question Nr. 27out of 32

What is the range of f(x) = x²?

[0; +∞)

(−∞; 0]

(0; +∞)

Question Nr. 28out of 32

Calculate the discriminant of 2x² + (10)x + (-7) = 0.

156

144

152

139

148

Question Nr. 29out of 32

A conclusion about all students is based on five members of one team. What is the main problem?

A non-random sample is always better

The result certainly represents everyone

Sample size never matters

The sample may be biased and too small

Question Nr. 30out of 32

For y = (x − (-1))² + (-6), give the vertex.

(-1, 6)

(-1, -5)

(-1, -6)

(1, -6)

(-6, -1)

(0, -6)

Question Nr. 31out of 32

Describe the relationship shown.

A causal proof

Positive correlation

No correlation

Negative correlation

Question Nr. 32out of 32

What relates central and inscribed angles over the same arc?

The central angle is half the inscribed angle

The inscribed angle is half the central angle over the same arc

Their sum is always 90°

The two angles are always equal

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Full Grade 9 mathematics test

This complete Grade 9 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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