Free Printable End of Year Examination Pre IG Stage 1 Mathematics

1.

(-1) - (-2) =

a)

3

b)

1

c)

-3

d)

-1

2.

Which expression is equivalent to the product of (s^-8)(s)?

a)

1/s⁷

b)

8/s⁸

c)

-s⁷

d)

-8s⁹

3.

An astronomer finds that the diameter of asteroid A is roughly 10^-3 kilometers, whereas the diameter of asteroid B is roughly 10⁶ kilometers. About how many times as great is the diameter of asteroid B than asteroid A?

a)

10^-3

b)

10³

c)

10⁹

d)

10⁹¹⁸

4.

Find the cubed root of 729.

a)

7

b)

9

c)

27

d)

32

5.

What is ∛-8?

a)

-2

b)

2

c)

undefined

d)

imaginary

6.

Which of the following is NOT a prime number?

a)

37

b)

47

c)

57

d)

67

7.

What are the prime factor of 210?

a)

2x3x5x7

b)

2x2x3x7

c)

2x3x3x7

d)

3x5x5x7

8.

Simplify: 2+(8÷4+3)-5

a)

9

b)

3

c)

2

d)

5

9.

Find the HCF of 40 and 32

a)

8

b)

6

c)

4

d)

2

10.

Find the LCM of 23 and 15.

a)

280

b)

345

c)

2315

d)

465

11.

Round to the nearest whole number.
99.95

a)

99.5

b)

99.6

c)

100

d)

109

12.

Round 5.68172 to 1 decimal place

a)

5.7

b)

5.6

c)

5.68

d)

5.69

13.

Round off 1,296,717 to 3 significant figures

a)

1,290,000

b)

1,296,000

c)

1,297,000

d)

1,300,000

14.

Simplify fully $\sqrt{7}\times\sqrt{7}$

a)

$7$

b)

$49$

c)

$\sqrt{7}$

d)

$14$

15.

Simplify:
√5 x √6

a)

2√15

b)

√11

c)

√30

d)

3√10

16.

$\sqrt{8}$

a)

$2\sqrt{2}$

b)

$4\sqrt{2}$

c)

$\sqrt{8}$

d)

$2\sqrt{4}$

17.

Simplify fully:
√32

a)

4√8

b)

16√2

c)

4√2

d)

4√4

18.

What is the 5th term of the sequence 7, 14, 28, ...?

a)

72

b)

48

c)

56

d)

112

19.

What is the missing term of the arithmetic sequence -1, -7, (a) , -19, -25, ...?

20.

What is the 3rd term of the arithmetic sequence with 5 as the first term and with a common difference of 3?

a)

8

b)

10

c)

11

d)

14

21.

Find the missing number in the pattern. 6, 14, ____, 30, 38,...

a)

18

b)

20

c)

24

d)

22

22.

Factor
4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

23.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

24.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

25.

Factor by grouping
x³ - 4x² -4x + 16

a)

(x+4)(x+2)

b)

(x-4)(x² -4)

c)

(x+4)(x² -4)

d)

(x-4)(x-2)

26.

factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

27.

Factor completely: 3x² - 7x + 2

a)

(x - 1) (3x + 2)

b)

(x - 2) (3x -1)

c)

(x - 1) (3x - 2)

d)

(x + 2) (3x + 1)

28.

4m(3m⁷ + 2m⁵)

a)

7m⁷ + 6m⁶

b)

12m⁸ + 8m⁶

29.

Which equation is in slope-intercept form?

a)

$y=mx+b$

b)

$y=\frac{1}{2}x+10y$

c)

$Ax+By=C$

d)

$5x+10x=100$

30.

How do you describe the trend of this graph?

a)

The line is decreasing.

b)

The line is horizontal.

c)

The line is increasing.

d)

The line is vertical.

31.

Which of the following graphs are represented by the points (0,7) and (1,4)?

a)

b)

c)

d)

32.

Convert from Standard Form to Slope-Intercept Form.

$6x-7y=-35$

a)

$y=\frac{7}{6}x-5$

b)

$y=\frac{6}{7}x+5$

c)

$y=\frac{5}{7}x\ -6$

d)

$y=-\frac{6}{7}x\ -5$

33.

What is the y-intercept in the equation?
y = 5x - 4

a)

5

b)

-4

c)

-5

d)

4

34.

Write an equation in Standard Form.
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.

a)

2x + 5y = 120

b)

12x + 15y = 120

c)

12 + 15y = 2x

d)

12x + 15 = 120

35.

Which of the statements below is a linear inequality in two variables?

a)

4x – y > 1

b)

x²+ y² ≤ 10

c)

8y ≥ 6x²

d)

x – y = 14

36.

The area of a rectangle is found using the formula A = lw. What is the are of a rectangle if l=4 and w=2?

a)

6

b)

8

c)

2

d)

16

37.

The formula v = u + at is used to find the final speed. Find v if u=6, a=2 and t=5.

a)

16

b)

17

c)

32

d)

60

38.

What could be a formula to find the perimeter of the figure above?

a)

a + a + b

b)

2ab

c)

2a + b

d)

a²b

39.

What is the median for this data set? Remember to list all of the data in order from least to greatest. Then find the median which is the middle number in this ranked set of data.

a)

4

b)

3

c)

1

d)

0

40.

What is the range of the data set? Remember to subtract the minimum value from the maximum value.

a)

4

b)

3

c)

2

d)

1

41.

What is the mode for this data set? Remember the mode is the most common or most frequent data.

a)

4

b)

3

c)

1

d)

0

42.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

43.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

44.

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football?

a)

⁶⁶/₈₀

b)

⁴/₈₀

c)

¹⁸/₈₀

d)

⁴⁹/₈₀

45.

The number 79 has been rounded to the nearest whole number. Find its lower and upper bounds

a)

78.5  ≤ 79  <79.5

b)

78 ≤ 79 <80

c)

78.4 ≤ 79 <79.4

46.

There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is blue?

a)

$\frac{1}{2}$

b)

$\frac{1}{3}$

c)

$\frac{2}{3}$

d)

$\frac{1}{4}$

47.

When a single die is rolled, find the probability of getting an 8.

a)

3/8

b)

1

c)

1/6

d)

0

48.

Flipping a coin is an example of an experiment.

a)

True

b)

False

49.

A die is rolled. What is the probability of rolling a number that is greater than 6?

a)

0/6 or 0

b)

1/6

c)

5/6

d)

6/6 or 1

50.

The total distance travelled in this graph is (a) km.

51.

Which of the following is a unit of distance ?

a)

miles/hr

b)

hr

c)

km

d)

min

52.

What is the formula to calculate speed?

a)

S = t/d

b)

S = d/t

c)

S = d x t

d)

S = t x d

53.

Bill jogs 400 meters to Andy's house, turns around, and runs 400 meters back home. He does so in 250 seconds. What is Bill's average speed?

a)

3.2 m/s

b)

0.3 m/s

c)

4 m/s

d)

3.5 m/s

54.

Match the description to the graph:

"The car is traveling at a constant speed, away from the reference point."

a)

b)

c)

d)

55.

Match the description to the graph:

"The speed of the car is decreasing."

a)

b)

c)

d)

56.

Match the description to the graph:

"The car is coming back."

a)

b)

c)

d)

57.

The team scored 50 points. How many points did Kendrick score?

a)

12 points

b)

20 points

c)

10 points

d)

72 points

58.

A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?

a)

c = 15π

b)

C = 2π15

c)

c = 15 ÷ π

d)

c = 15 π

59.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

60.

Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the diameter of Jayne’s lollipop be? Use π = 3.14.

a)

4 in.

b)

8 in.

c)

12 in.

d)

16 in.

61.

The radius is 8 inches. What is the circumference?

a)

50.24 inches

b)

25.12 inches

c)

12.56 inches

d)

200.96 inches

62.

What is the formula for finding the area of a circle?

a)

b)

63.

Which is the correct equation of a straight line?

a)

y = cx + m

b)

y = mc + x

c)

y = mx + c

d)

x = ym + c

64.

What is the gradient of the line y = 2x + 6?

a)

2

b)

-2

c)

6

d)

$\frac{1}{2}$

65.

What are Bearings in maths?

a)

A bearing is an angle, measured clockwise from the north direction.

b)

A bearing is an angle, measured counter - clockwise from the north direction.

c)

A bearing is an angle, measured clockwise from the east direction.

d)

A bearing is an angle, measured counter - clockwise from the east direction.

e)

Any normal angle

66.

Write the bearings of A from O

a)

125

b)

055

c)

035

d)

305

67.

Choose the correct true bearing

a)

62

b)

062

c)

332

d)

152

68.

a)

Reflection

b)

Rotation

c)

Translation

69.

a)

Reflection

b)

Rotation

c)

Translation

70.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

left 2, up 9

b)

right 2, down 9

c)

left 2, down 9

d)

left 2, up 5

71.

How would you describe the translation of the green shape to the red shape?

a)

6 up

b)

3 right, 1 up

c)

3 up

d)

3 right, 4 up

72.

Shape A has been enlarged to get shape B.

What is the scale factor of the enlargement?

a)

⅓

b)

3

c)

-3

d)

9

73.

Convert $3\frac{1}{5}$ to an improper fraction

a)

$\frac{16}{5}$

b)

$\frac{3}{5}$

c)

$\frac{15}{5}$

d)

$\frac{16}{15}$

74.

Shape A has been enlarged to give Shape B.

What is the scale factor of the enlargement?

a)

-\frac{1}{2}

b)

$2$

c)

$\frac{1}{2}$

d)

$-2$

75.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

76.

What is Pythagoras’ Theorem? (The hypotenuse)

a)

A³+B²=0

b)

A²/B²=C³

c)

A²+B²=C²

d)

AB²=C²

77.

solve for c

a)

7

b)

9

c)

4

d)

13

78.

The diameter of a cylinder is 48 meters. What is the radius?

a)

96 meters

b)

12π

c)

24 meters

d)

48²

79.

A ball shaped like a sphere has a radius of 2.7 cm. Which measurement is closest to the volume of the ball in cubic cm?

a)

46.38

b)

33.93

c)

122.15

d)

82.45

80.

A party hat, in the shape of a cone, has an opening of 6 inches, and a height of 9 inches. Which measurement is closest to the volume of the hat?

a)

84.82

b)

339.29

c)

254.47

d)

10174.88

81.

Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.

Which equation can be used to find the volume of the container?

a)

V = π(9)

b)

V = π(4.5)²(32)

c)

V = π(9)²(32)

d)

V = π(4.5)(32)

82.

Michael has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?

a)

4239 in³

b)

423.9 in³

c)

1696.5 in³

d)

1695.6 in²

83.

The radius of a circular clock is 13 centimeters. What is the area?

a)

530.66 cm²

b)

81.68 cm²

c)

40.84 cm²

d)

348.99 cm²

84.

_{What is the diameter?}

a)

5 in

b)

10 in

c)

3.14 in

d)

2.5 in

85.

The largest cookie ever baked measured a radius of 51 feet. Which of these is the closest to the area of the cookie?

a)

2601 ft²

b)

8167 ft²

c)

2042 ft²

d)

162 ft²

86.

Find the Circumference (round to nearest tenth):
diameter = 12 in.

a)

37.7 in.

b)

37 in.

c)

38 in.

d)

75.4 in.

87.

What is the measure of ∠A?

a)

126°

b)

34°

c)

16°

d)

22°

88.

What is the measure of the unknown angle?

a)

80 degrees

b)

90 degrees

c)

100 degrees

d)

110 degrees

89.

If you are standing on a point and make one complete turn and end on the original point, what degree turn did you complete?

a)

300 degrees

b)

180 degrees

c)

360 degrees

d)

90 degrees

90.

$\angle8\cong\angle4$

a)

True

b)

False

91.

$\angle2$ and $\angle7$ are supplementary.

a)

True

b)

False

92.

If $\angle7=137\degree$ , then $\angle2=_{ }$ _____.

a)

$137\degree$

b)

$43\degree$

c)

$34\degree$

d)

$127\degree$

93.

What is the relationship of the angles?

a)

Corresponding angles

b)

Same Side Interior

c)

Alternate Interior

d)

Alternate Exterior

94.

∠2 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

95.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

End of Year Examination Pre IG Stage 1 Mathematics

Total questions: 95

Worksheet time: 4hrs 11mins

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