Free Printable GR8 PAIS PREPARATION: 3

1.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a fraction.

c)

A rational number cannot be a repeating decimal.

2.

What type of number is π ?

a)

Rational

b)

Irrational

3.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10 ⁵

4.

Which number is a rational number ?

a)

1/4

b)

π

c)

√3

d)

∛25

5.

√7

a)

Rational

b)

Irrational

6.

√25

a)

Rational

b)

Irrational

7.

-17.565

a)

Rational

b)

Irrational

8.

.141414141414...

a)

Rational

b)

Irrational

9.

The decimal of an irrational number doesn't repeat with a pattern.

a)

true

b)

false

10.

√3

a)

rational

b)

irrational

11.

The √98 falls between what two numbers on a number line?

a)

10 and 11

b)

11 and 12

c)

9 and 10

d)

90 and 100

12.

A perfect square is which type of number?

a)

Rational

b)

Irrational

13.

A fraction is which type of number?

a)

Rational

b)

Irrational

14.

A non-perfect square is which type of number?

a)

Rational

b)

Irrational

15.

The square root of 57 is ...

a)

rational

b)

irrational

16.

Zero

a)

Rational, Integer

b)

Rational

c)

Rational, Integer, Whole

d)

Rational, Integer, Whole, Natural

17.

Choose the best definition of the term WHOLE NUMBERS...

a)

Numbers that have holes in them (like 0, 4, 8, etc.)

b)

Any positive #s

c)

1 and then +1 after that (1, 2, 3, 4, 5, 6...)

d)

Zero and the positive numbers with decimals of with .0

18.

Choose the best definition of the term INTEGERS...

a)

Whole numbers

b)

Negative numbers

c)

Negative Numbers and Positive Numbers

d)

Positive whole #s and their opposites and zero

19.

put √7 in the right blank

a)

__, 2.5, 2.63, 2.65

b)

2.5, __, 2.63, 2.65

c)

2.5, 2.63, __, 2.65

d)

2.5, 2.63, 2.65, __

20.

between which if these does √27 lay on a number line

a)

5 and 6

b)

6 and 7

c)

4 and 5

d)

who cares i wanna go home

21.

What is the volume of the cylinder? Express the exact answer in terms of π.

a)

300π km³

b)

25π km³

c)

300 km³

d)

25π km³

e)

60π km³

22.

What is the volume of the cylinder? Approximate your answer by rounding to the nearest tenth.

a)

60 km³

b)

942.5π km³

c)

942.5 km³

d)

300 km³

e)

188.5 km³

23.

What is the volume of the cylinder? Express your exact answer in terms of π.

a)

396 yd³

b)

396π yd²

c)

36π yd³

d)

396π yd³

e)

66π yd³

24.

What is the volume of the cylinder? Express the approximate answer rounded to the nearest tenth.

a)

396 yd³

b)

1244.1 yd³

c)

36π yd³

d)

396π yd³

e)

66π yd³

25.

What is the volume of the cylinder? Express the exact answer in terms of π.

a)

264π km³

b)

1584π km³

c)

1584 km²

d)

6336π km³

e)

6336π km²

26.

What is the volume of the cylinder? Express the approximate answer rounded to the nearest tenth.

a)

4976.3 km³

b)

4976.3π km³

c)

1584 km²

d)

6336 km³

e)

4976.3 km²

27.

What is the volume of the cylinder? Express your exact answer in terms of π.

a)

769.7 m³

b)

245 m³

c)

980π m³

d)

70π m³

e)

245π m³

28.

What is the volume of the cylinder? Express your approximate answer rounded to the nearest tenth.

a)

769.7 m³

b)

245 m³

c)

3078.8 m³

d)

219.9 m³

e)

245 m²

29.

What is the volume formula for a Cylinder? (Check all that apply)

a)

V = πr²h

b)

V = Bh

c)

V = lwh

d)

A = πr²

e)

A = bh

30.

The formula for the Volume of ...

a)

Spheres

b)

Cones

c)

Cylinders

31.

The formula for the Volume of ...

a)

Cylinders

b)

Spheres

c)

Cones

32.

The formula for the Volume of ...

a)

Cylinder

b)

Cone

c)

Sphere

33.

What shape is this?

a)

Pyramid

b)

Cylinder

c)

Circle

d)

Cube

34.

What shape is this?

a)

Cylinder

b)

Cone

c)

Sphere

35.

What shape is this?

a)

Cone

b)

Sphere

c)

Cube

d)

Pyramid

36.

Find the volume of the Cylinder

a)

7230

b)

6621

c)

1130

d)

907

37.

Find the Volume of the Cone

a)

150.72 cm³

b)

75.36 cm³

c)

452.16 cm³

d)

151 cm³

38.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

39.

Find the Volume if the height is 10 cm and radius 3 cm?

a)

250

b)

200

c)

283

d)

180

40.

Find the Volume of the Sphere

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

41.

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

a)

50.27 ft³

b)

150.72 ft³

c)

not here

d)

192.65 ft³

42.

Question 2a. Find the measure for one exterior angle of this polygon.

a)

$90\degree$

b)

$180\degree$

c)

$360\degree$

d)

$540\degree$

43.

Question 2b. Find the sum of all the exterior angles for this polygon.

a)

$90\degree$

b)

$180\degree$

c)

$360\degree$

d)

$540\degree$

44.

Question 4a. Given the diagram, name the parallel lines.

a)

line m, line p

b)

line n, line p

c)

line m, line n

45.

Find $m\angle1.$

a)

$131\degree$

b)

$180\degree$

c)

$49\degree$

46.

Find $m\angle2.$

a)

$131\degree$

b)

$180\degree$

c)

$49\degree$

47.

We assume that, since the lines are parallel, Corresponding Angles are congruent - for example $\angle5\cong\angle1$ . Check any box with Corresponding Angles.

a)

$\angle1\ and\ \angle2$

b)

$\angle2\ and\ \angle6$

c)

$\angle4\ and\ \angle8$

d)

$\angle3\ and\ \angle7$

48.

If $\angle5\ and\ \angle4$ are one pair of Alternate Interior Angles, name the other pair of Alternate Interior Angles

a)

$\angle3\ and\ \angle2$

b)

$\angle6\ and\ \angle8$

c)

$\angle3\ and\ \angle6$

d)

$\angle1\ and\ \angle9$

49.

What type of angles are these? (select 2)

a)

Adjacent Angles

b)

Vertical Angles

c)

Complementary Angles

d)

Supplementary Angles

50.

Which angles are vertical angles?

a)

$\angle8\ \&\ \angle7$

b)

$\angle8\ \&\ \angle6$

c)

$\angle8\ \&\ \angle5$

51.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

52.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

53.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

54.

Which of the following is NOT an example of supplementary angles?

a)

$\angle7\ and\ \angle8$

b)

$\angle2\ and\ \angle3$

c)

$\angle1\ and\ \angle7$

d)

$\angle6\ and\ \angle4$

55.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

56.

Angles 4 and 6 are...

a)

supplementary

b)

congruent

57.

Supplementary Angles add up to be ______-degrees

a)

270

b)

180

c)

90

d)

120

58.

Complementary Angles are two angles that add up to equal _____-degrees

a)

180

b)

90

c)

270

d)

120

59.

1) Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

60.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

61.

a)

41°

b)

65°

c)

102°

d)

115°

62.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

63.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

64.

An angle that is exactly 90 degrees.

a)

right

b)

acute

c)

obtuse

d)

straight

65.

An angle that is less than 90^o.

a)

right

b)

acute

c)

obtuse

d)

straight

66.

What is the value of x?

a)

38

b)

57

c)

76

d)

85

67.

Find the measure of the indicated angle.

a)

26

b)

36

c)

85

d)

144

68.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

69.

What is the speed of a car that travels 400 m in 20 minutes?

a)

20 miles/hr

b)

20 m/min

c)

800 m/min

d)

200 miles/hr

70.

How far will a person go if they jog for 2 hours at a speed of 12 km/hr?

a)

6 km

b)

0.5 km

c)

10 km

d)

24 km

71.

What is the formula to calculate speed?

a)

S=t/d

b)

S=d/t

c)

S=d*t

d)

S=d*t

72.

Which is correct?

a)

speed = distance x time

b)

speed = speed divided time

c)

speed = distance divided by time

d)

speed = time x speed

73.

What is speed?

a)

how far you go

b)

how much distance is covered over a period of time

c)

how fast you accelerate

d)

the change in the location of a object

74.

What does this graph represent?

a)

Constant Speed

b)

Acceleration

c)

Not moving

75.

What does this graph represent?

a)

Constant Speed

b)

Acceleration

c)

Not moving

76.

According to the graph how far does the person travel in the first 5 seconds?

a)

2 m

b)

10 m

c)

0 m

d)

5 m

77.

What is the person doing from 5 seconds to 10 seconds?

a)

Walking

b)

Running

c)

Standing Still

d)

Walking Fast

78.

What is the average speed of the person during the first 5 seconds?

a)

0 m/s

b)

1 m/s

c)

3 m/s

d)

6 m/s

79.

Which of the following is a unit of distance ?

a)

miles/hr

b)

mi

c)

sec

d)

min

80.

Which of the following is a unit of distance ?

a)

miles/hr

b)

hr

c)

km

d)

min

81.

To calculate average speed you _______ the distance traveled by the elapsed time.

a)

divide

b)

multiply

c)

square

d)

subtract

82.

To calculate average speed you _______ the distance traveled by the elapsed time.

a)

divide

b)

multiply

c)

square

d)

subtract

83.

What is the equation to calculate time?

a)

time = speed/distance

b)

time = distance/speed

c)

time = speed x distance

d)

time = distance x speed

84.

What is the equation to calculate distance?

a)

distance = speed/time

b)

distance = time/speed

c)

distance = speed/distance

d)

distance = speed x time

85.

What is the equation to calculate time?

a)

time = speed/distance

b)

time = distance/speed

c)

time = speed x distance

d)

time = distance x speed

86.

Simplify
3s⁴x 2t²x s³

a)

5st¹⁴

b)

5s⁷t²

c)

12 s⁷t ²

d)

6 s⁷t²

87.

Which expression is equivalent to the following?

a)

32x³y⁴

b)

32x⁹y¹³

c)

16x⁸y¹²

d)

16x⁶y⁷

88.

(3x²y³)²

a)

9x⁴y⁶

b)

3x⁴y⁵

c)

6x⁴y⁶

d)

9xy

89.

Which of the following " one pair of opposite sides are parallel

a)

Trapezium

b)

Parallelogram

c)

Rectangle

d)

Square

e)

Rhombus

90.

Which of the following " Two pair of opposite sides are parallel"

a)

Trapezium

b)

Parallelogram

c)

Rectangle

d)

Square

e)

Rhombus

91.

Which of the following " Diagonals are equal "

a)

Trapezium

b)

Parallelogram

c)

Rectangle

d)

Square

e)

Rhombus

92.

Which of the following

" One pair of opposite angles are equal "

a)

Kite

b)

Parallelogram

c)

Rectangle

d)

Square

e)

Rhombus

93.

Which of the following

" One of the diagonals is bisect other "

a)

Kite

b)

Parallelogram

c)

Rectangle

d)

Square

e)

Rhombus

94.

Which of the following have the property... "Diagonals bisect each other"

a)

Quadrilateral

b)

Parallelogram

c)

Rectangle

d)

Rhombus

e)

Square

95.

All rectangles are squares.

a)

True

b)

False

96.

A rectangle is a paralellogram.

a)

True

b)

False

97.

Name that shape.

a)

quadrilateral, parallelogram

b)

quadrilateral

c)

quadrilateral, kite.

d)

quadrilateral, trapezoid

98.

All of the following are quadrangles except...

a)

square

b)

kite

c)

pentagon

d)

paralellogram

99.

In which of the following figures, all angles are equal?

a)

Rectangle

b)

Kite

c)

Trapezium

d)

Rhombus

100.

If I flip a coin 10 times, how many times should I get heads?

a)

1

b)

10

c)

3

d)

5

101.

If you spin the spinner 90 times, how many times should the number 3 be selected?

a)

9

b)

15

c)

16

d)

30

102.

If a dice is rolled 300 times, how many times would you predict a roll of a 1 or a 6?

a)

50

b)

100

c)

150

d)

75

103.

What is the probability of getting any letter that is not A?

a)

6/8

b)

3/4

c)

2/8

d)

1/4

104.

What percentage of girls have blonde hair?

a)

30%

b)

32%

c)

29%

d)

40%

105.

What is the probability of getting an odd number when you roll a dice?

a)

imposible

b)

unlikely

c)

even chance

d)

likely

106.

The probability of getting a black car in this picture is?

a)

certain

b)

unlikely

c)

impossible

d)

likely

107.

What is the probability of getting a red balls when you take one ball randomly from the bag?

a)

impossible

b)

even chance

c)

likely

d)

unlikely

108.

Find the missing yellow length

a)

2 cm

b)

6 cm

c)

9 cm

d)

4 cm

109.

How many cm is the missing length ?

(just the number. no units)

(a)

110.

To calculate the area of this compound shape you would split it into two..........

a)

halves

b)

rectangles

c)

squares

111.

The compound shape has been split into 2 rectangles. The area of rectangle A is 4 cm x ? cm

(just the number. no units)

(a)

112.

Work out the AREA of this compound shape.

(just the number. No units)

(a)

113.

Find the area of each figure, round your answer to the nearest whole number.

a)

290

b)

295

c)

300

d)

298

114.

Find the area to the nearest whole number.

a)

155

b)

152

c)

150

d)

145

115.

Find the area of each figure, round your answer to the nearest whole number.

a)

358

b)

357

c)

359

d)

356

116.

Find the area of each figure, round your answer to nearest whole number.

a)

55

b)

45

c)

50

d)

60

117.

Find the area of each figure, round your answer to nearest whole number.

a)

46

b)

44

c)

42

d)

40

118.

What is the area?

a)

420 ft²

b)

320 ft²

c)

210 ft²

d)

160 ft²

119.

What is the area?

a)

18 m²

b)

36 m²

c)

63 m²

d)

28 m²

120.

What is the area?

a)

7.5 in

b)

15 in

c)

15 in²

d)

8 in²

121.

What is the area of the shaded region?

a)

14 m²

b)

120 m²

c)

106 m²

d)

134 m²

122.

What is the area of the shaded region?

a)

4 cm²

b)

16 cm²

c)

8 cm²

d)

12 cm²

123.

Find the area

a)

150m²

b)

120m²

c)

126m²

d)

200m²

124.

Find the area of the polygon.

a)

14 in²

b)

68 in²

c)

36 in²

d)

24 in²

125.

If the object is painted, how many block unit that painted at both sides?

a)

12 blocks unit

b)

10 blocks unit

c)

8 blocks unit

d)

6 blocks unit

126.

a cube has each of its faces covered by one face of an identical cube, making the solid shape shown. The volume of the solid shape is 875 cm³. What is the volume of one of the cubes?

a)

125 cm³

b)

250 cm³

c)

875 cm³

d)

62.25 cm³

127.

Fawwaz painted the outside of a cabinet on all sides except the bottom. If the cabinet measures 2 m X 3 m X 1m , how much surface did he paint ?

a)

6m²

b)

10m²

c)

16m²

d)

22m²

128.

What is the volume of the rectangular prism when it is fully packed if there are no gaps or overlaps in the unit cubes?

a)

15 cubic inches

b)

60 cubic inches

c)

30 cubic inches

d)

10 cubic inches

129.

A cube has a side length 5 cm. what is length of all edges together

a)

60 cm

b)

20 cm

c)

40 cm

d)

10 cm

130.

What is the surface area of the cuboid?

a)

82 cm²

b)

122 cm²

c)

14 cm²

d)

144 cm²

131.

A cube is measured at 4 cm in length, what is the surface area?

a)

96 cm²

b)

16 cm²

c)

64 cm²

132.

Diagram shows a water container. Omar fill 3/5 of its with water. What is the volume of water in that container?

a)

900 cm³

b)

1 200 cm³

c)

1 800 cm³

d)

3 000 cm³

133.

Write 5cm as a percentage of 20cm

a)

25%

b)

40%

c)

10%

d)

20%

134.

Write 7 days as a percentage of 10 days

a)

35%

b)

7%

c)

70%

d)

⁷/₁₀

135.

Write 4m as a percentage of 5m

a)

75%

b)

40%

c)

20%

d)

80%

136.

Write 60 marks out of 80 marks as a percentage

a)

60%

b)

75%

c)

80%

d)

20%

137.

Hannah scored 60 out of 90 in a French test, 50 out of 80 in a drama test, 85 out of 130 in an art test and 13 out of 20 in a maths test.

In which subject did she score the highest percentage?

a)

French

b)

Drama

c)

Art

d)

Maths

138.

There is 135g of fat in a 300g tub of Goodlife spead.

What percentage is fat?

a)

35

b)

40

c)

45

d)

60

139.

Find 13% of £245

a)

£31.85

b)

£33.32

c)

£31.75

d)

£42.35

140.

Find 27% of £320

a)

£86.40

b)

£84.60

c)

£86.60

d)

£84.40

141.

Find 34% of £510

a)

£173.40

b)

£174.30

c)

£137.40

d)

£134.70

142.

Find a 7% increase on £280

a)

£299.60

b)

£296.60

c)

£299.90

d)

£296.90

143.

Find an 18% increase on £355

a)

£418.90

b)

£481.90

c)

£419.80

d)

£489.10

144.

Find a 41% increase on £62

a)

£87.42

b)

£87.24

c)

£84.72

d)

£84.27

145.

Find a 3% decrease on £24

a)

£23.28

b)

£22.28

c)

£22.38

d)

£23.83

146.

Find a 19% decrease on £630

a)

£510.30

b)

£501.30

c)

£510.10

d)

£501.10

147.

Find an 82% decrease on £460

a)

£82.80

b)

£88.20

c)

£82.20

d)

£88.80

GR8 PAIS PREPARATION: 3

Total questions: 147

Worksheet time: 12hrs 59mins

Similar Resources on Wayground