Free Printable G8 Year end review

1.

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

a)

5/6

b)

1/2

c)

1/3

d)

1/6

2.

Solve for x in the following equation:

$\frac{x}{-4}\ =\ 9$

a)

x = 13

b)

x = 5

c)

x = 36

d)

x = -36

3.

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

a)

Independent

b)

Dependent

4.

Clara picks a marble at random, puts it back, and then picks another marble at random. Are the two events dependent or independent?

a)

independent

b)

dependent

5.

The triangle has been enlarged by a scale factor 3 from the origin.

Where is the red vertex (2, 1) enlarged to?

a)

A

b)

B

c)

C

d)

D

6.

Find the area of the circle.

a)

18.8 m²

b)

113.1 m²

c)

37.7 m²

d)

452.2 m²

7.

Evaluate the expression

a)

2

b)

-2

c)

24

d)

-20

8.

Simplify the expression.
$\frac{6}{7}\ \div\ \frac{14}{12}$

a)

$\frac{36}{49}$

b)

$-\frac{36}{49}$

c)

1

d)

$1\frac{2}{7}$

9.

Match the description to the graph:

"The car is traveling at a constant speed."

a)

b)

c)

d)

10.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Similar

11.

Tell whether the two figures are congruent.

a)

Yes, same size and same shape

b)

No, same shape but different sizes

c)

No, different size and different shapes

12.

What is 45,000 written in standard form?

a)

45 × 10³

b)

4.5 × 10⁴

c)

4.5 × 10³

13.

What is 0.00051

written in standard form?

a)

5.1 × 10^-4

b)

51 × 10^-4

c)

5.1 × 10^-5

14.

Find the output if the input is -3.

a)

-2

b)

24

c)

10

d)

2

15.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

16.

Solve: 12 + 3x < 2(x + 7)

a)

x < 2

b)

x > 2

c)

x < -12

d)

x < 12

17.

Subtract $6\ \frac{2}{4\ }-2\ \frac{2}{5}$ . Make sure to leave answer in simplest form.

a)

$5\ \frac{2}{7}$

b)

$4\ \frac{2}{20}$

c)

$6\ \frac{1}{2}$

d)

$4\ \frac{1}{10}$

18.

The horizontal axis of a frequency polygon comes from this column:

a)

Class

b)

Frequency

c)

Midpoint

d)

Class Endpoints

19.

What is the sequence of transformations?

a)

Reflect over the y then reflect over the x

b)

Reflect over the x then reflect over the y

c)

Translate 4 units then rotate 90˚

d)

Rotate 90˚ then reflect over the x

20.

Solve for x.

a)

88°

b)

110°

c)

22°

d)

32°

21.

Find the value of x.

a)

x = 95

b)

x = 85

22.

Find y.

a)

130

b)

50

23.

What's the midpoint of the the line-segment starting at (4, 5) and ending at (-12, 5)?

a)

(-4, 5)

b)

(-8, 5)

c)

( 8, 2.5)

d)

(8, 5)

24.

Simplify the algebraic fraction.

a)

2y

b)

2/y

c)

y/2

d)

1/2y

25.

The nth term, Tn = 6n-1. Is 329 a term of a sequence?

a)

True

b)

False

26.

Solve:

5x + y = 9

10x − 7y = −18

a)

x = 1, y = 4

b)

x = -1 y = -4

c)

x = -1, y = 4

d)

x = 1, y = -4

27.

The value of Bill's car goes down by 12% each year.

Bill's car is currently worth £5000. How much will it be worth in 4 years....

a)

£2998.48

b)

£2998.47

c)

£2898.47

d)

£2898.48

28.

Shen thinks of a number, n. Which expressions shows for the number Shen gets when he divides the number by 3 then adds 6?

a)

(n/3) + 6

b)

6(n/3)

c)

(n/6)+3

29.

Solve this inequality

$4x-5\ \le2x\ +15$

a)

$x\le\ 10$

b)

$x\le5$

c)

$x\ge10$

d)

$x\le\frac{1}{10}$

30.

Rational numbers include...

a)

Whole Numbers

b)

Integers

c)

Fractions

d)

Decimals

31.

Find the equation of the line.

a)

y = 2x - 2

b)

y = -2x + 2

c)

y = -2x + 4

d)

y = 2x + 4

32.

Round 0.010229 to four significant figures

a)

1022

b)

1023

c)

0.01023

d)

0.01022

33.

Describe the correlation in the graph shown.

a)

Strong Negative

b)

Strong Positive

c)

Weak Negative

d)

Weak Positive

34.

For this grouped data, estimate the mean.

a)

20

b)

25

c)

27

d)

30

35.

A florist records the amount of money he spent on gasoline each week to deliver orders. The list shows the data for 16 weeks.
32, 38, 40, 44, 44, 46, 49, 53, 55, 58, 62, 65, 68, 70, 72, 81
He put the data in a stem-and-leaf plot. What number did he leave out of the stem-and-leaf plot?

a)

32

b)

44

c)

65

d)

81

36.

What is the formula for the sum of exterior angles in a polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

37.

If an exterior angle of a regular polygon has a measure of 36 degrees, how many sides does it have?

a)

10

b)

3

c)

7

d)

11

38.

Expand and simplify: (x + 7)(x - 2)

a)

x² - 5x + 5

b)

x²- 9x - 14

c)

x² - 5x - 14

d)

x² + 5x - 14

39.

Tam walks 2 km on a bearing of 080° and then changes direction and walks due north for 3 km.

How far is she from her starting point?

a)

3.9 km

b)

4.5 km

c)

3.0 km

d)

6.0 km

40.

A map has a scale of 1 : 25 000.

What is the real distance, in kilometres, between two towns that are 8 cm apart on the map?

a)

200 km

b)

200 000 km

c)

2 km

d)

0.32 km

41.

Uncle Tom gives $2640 to be shared among his grandchildren in the ratio of their ages.

The grandchildren are 8, 10, 13, and 17 years old.

How much does the second grandchild receive?

a)

$440

b)

$550

c)

$935

d)

$715

42.

$F=\frac{9}{5}C\ +32$ Rearrange the formula to make C the subject.

a)

$C=\frac{9}{5}\left(F-32\right)$

b)

$C=\frac{5}{F-32}$

c)

$C=\frac{5}{9}\left(F-32\right)$

d)

$C=\frac{F-32}{9}$

43.

Which table is correct for y=4x+3?

a)

b)

c)

44.

What is the total surface area of the cylinder to the nearest square inch?

a)

625 in²

b)

1300 in²

c)

1046 in²

d)

414 in²

45.

What is the probability the dessert has peanut butter in it?

a)

0.84

b)

0.58

c)

0.22

d)

0.59

46.

Lucia has a triangular prism that has a length of 6 cm, a width of 4 cm, and a height of 8cm. What is the volume?

a)

96cm³

b)

54cm³

c)

80cm³

d)

24cm³

47.

Solve for x and y.

$3x+2y=3$ $5x+3y=4$

a)

x = -1

y = 3

b)

x = 17

y = -12

c)

x = -6

y = 3

48.

The mass of the girl is 60 kg. Her estimate is correct to the nearest 10 kg. Between what limits does the actual mass girl lie?

a)

50.5≤60<70.5

b)

55≤60<65

c)

50≤60<70

G8 Year end review

Total questions: 48

Worksheet time: 2hrs 24mins

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