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Worksheets

10Ma6

Total questions: 182

Worksheet time: 4hrs 40mins

Name
Class
Date
1.
a)

1

b)
c)
d)
2.
a)

126.6 square yards

b)

175.28 square yards

c)

185.78 square yards

d)

89.4 square yards

3.
a)
b)
c)
d)
4.
a)

-76

b)

76

c)

4

d)

-4

5.
a)
b)
c)
d)
6.
a)

11.63

b)

-11.63

c)

-0.37

d)

0.37

7.
a)
b)
c)
d)
8.
a)

-81

b)

81

c)

16

d)

-16

9.
a)

50 miles per hour

b)

56 miles per hour

c)

58 miles per hour

d)

62 miles per hour

10.
a)

$0.30

b)

$0.90

c)

$3.90

d)

Not here

11.
a)

The information in the table has a constant rate of change of 3.5.

b)

The information in the table has a constant rate of change of 2.

c)

The information in the table has a constant rate of change of 7.

d)

The information in the table does not have a constant rate of change.

12.
a)

3

b)

2

c)

5

d)

7

13.
a)

3

b)

2

c)

1

d)

1/3

14.

Which table shows a constant rate of change of $3.25?

a)
b)
c)
d)
15.

Which table represents a situation with a rate of change of 5?

a)
b)
c)
d)
16.

Which equation represents a constant rate of change of 25?

a)

x + 25 = y

b)

25x=y

c)

x-25=y

d)

5x=y

17.
a)

2

b)

3

c)

0.5

d)

1

18.
a)

6 gallons per minute

b)

10 gallons per minute

c)

7 gallons per minute

d)

5 gallons per minute

19.

What is the gradient of the straight line with equation y=x-1?

a)

2

b)

1

c)

0

d)

-1

20.

What is the gradient of the straight line with equation y=5x+2

a)

2

b)

3

c)

4

d)

5

21.

What is the gradient of the straight line with equation y=1/2x-5?

a)

-5

b)

7

c)

1/2

d)

-1/2

22.

What is the gradient of the straight line with equation y=-3x+10?

a)

3

b)

10

c)

-3

d)

-10

23.

What is the gradient of the straight line with equation y=15-2x?

a)

15

b)

-15

c)

2

d)

-2

24.

What is the y-intercept of the straight line with equation y=x-1?

a)

-2

b)

-1

c)

0

d)

1

25.

What is the y-intercept of the straight line with equation y=5x+2

a)

5

b)

3

c)

2

d)

1

26.

What is the y-intercept of the straight line with equation y=1/2x-5?

a)

1/2

b)

-1/2

c)

5

d)

-5

27.

What is the y-intercept of the straight line with equation y=-3x+10?

a)

3

b)

-3

c)

10

d)

-10

28.

What is the y-intercept of the straight line with equation y=15-2x?

a)

15

b)

-15

c)

2

d)

-2

29.
a)
A.
b)
B.
c)
C.
d)
D.
30.
Simplify the algebraic fraction.
a)
-3/b
b)
-b/3
c)
3b
d)
-3b
31.
Simplify the algebraic fraction.
a)
2pq
b)
2/pq
c)
pq/2
d)
p/2q
32.
a)
4/x
b)
x/4
c)
1/4x
d)
4x
33.
a)

6am/10a

b)

9

c)

9ma/3a

d)

6m

34.
a)

3c

b)

9b/4a

c)

4a

d)

2c/b

35.
a)

4/p

b)

5/p

c)

14/p2

d)

4/p2

36.
a)

a2/6

b)

2a/3a

c)

3a/2a

d)

3/2

37.
Simplify the algebraic fraction.
a)
16/p2q
b)
16p2q
c)
p2q/16
d)
16q/p2
38.
Simplify the algebraic fraction.
a)
-m
b)
-1/m
c)
m/n
d)
1/mn
39.

solve the inequality d+1322d+13\ge22  

a)

d22d\ge22  

b)

d9d\le9  

c)

d9d\ge9  

d)

d22d\le22  

40.

Solve the inequality x2>5x-2>5  

a)

x>5x>5  

b)

x<7x<7  

c)

x>7x>7  

d)

x<5x<5  

41.

Solve the inequality 3z153z\le15  

a)

z3z\ge3  

b)

z5z\le5  

c)

z<5z<5  

d)

z5z\ge5  

42.

Solve the inequality b7>9\frac{b}{7}>9  

a)

b>9b>9  

b)

b<63b<63  

c)

b>63b>63  

d)

b<7b<7  

43.

x+3<7x+3<7  Solve the inequality

a)

x<4x<4  

b)

x=4x=4  

c)

x<10x<10  

d)

x=10x=10  

44.

Solve the inequality x+51x+5\ge1  

a)

x>4x>-4  

b)

x4x\ge-4  

c)

x6x\ge6  

d)

x=4x=-4  

45.

Solve the inequality 2x122x\le12  

a)

x<6x<6  

b)

x6x\le6  

c)

x24x\le24  

d)

x=6x=6  

46.

Solve the inequality x3>2\frac{x}{3}>2  

a)

x>6x>6  

b)

x6x\ge6  

c)

x>5x>5  

d)

x5x\ge5  

47.

Solve the inequality  5x7<35x-7<3  

a)

x=2x=2  

b)

x2x\le2  

c)

x<2x<2  

d)

x<45x<\frac{-4}{5}  

48.

Solve the inequality 3x+713x+7\ge1  

a)

x2x\ge2  

b)

x83x\ge\frac{8}{3}  

c)

x2x\le2  

d)

x2x\ge-2  

49.

Solve the inequality x4>3\frac{x}{4}>-3  

a)

x>12x>-12  

b)

x>12x>12  

c)

x=12x=12  

d)

x=12x=-12  

50.

Solve the inequality 3x+4<163x+4<16  

a)

x<4x<4  

b)

x<203x<\frac{20}{3}  

c)

x=4x=4  

d)

x=203x=\frac{20}{3}  

51.

Solve the inequality x2+46\frac{x}{2}+4\le6  

a)

x5x\le5  

b)

x20x\le20  

c)

x1x\le1  

d)

x4x\le4  

52.

Solve the inequality 3(x+4)93\left(x+4\right)\le9  

a)

x2x\le2  

b)

x1x\le-1  

c)

x7x\le7  

d)

x27x\le27  

53.

Solve the inequality 5<3x1<145<3x-1<14  

a)

2<x<32<x<3  

b)

x<2x<2  

c)

x<3x<3  

d)

43<x<143\frac{4}{3}<x<\frac{14}{3}  

54.

Convert 23% into decimals

a)

2.3

b)

0.23

c)

0.023

d)

23.0

55.

Convert 18% into decimals

a)

1.8

b)

0.18

c)

0.018

d)

18.0

56.

Convert 45% into decimals

a)

4.5

b)

0.45

c)

0.045

d)

45.0

57.

What is 125% as a decimal?

a)

0.125

b)

1.25

c)

12.5

d)

125.0

58.

Convert 9% into decimals

a)

9

b)

0.9

c)

0.09

d)

90.0

59.

What is 1% as a decimal?

(a)  

60.

What is 99% as a decimal?

(a)  

61.

Convert 3/10 to decimals.

a)

0.3

b)

0.03

c)

3.0

d)

0.003

62.

Convert 2/10 to decimals

a)

0.02

b)

0.2

c)

0.002

d)

2.0

63.

Convert 5/10 to decimals

a)

0.05

b)

5.0

c)

0.5

d)

0.005

64.

Convert 4/10 to decimals

a)

0.004

b)

4.0

c)

0.4

d)

0.04

65.

Convert 7/10 to decimals

a)

0.7

b)

0.07

c)

0.007

d)

7.0

66.

Convert 6/10 to decimals

a)

0.06

b)

0.006

c)

0.6

d)

6.0

67.

Convert 8/10 to decimals

a)

0.008

b)

0.08

c)

8.0

d)

0.8

68.

Convert 9/10 to decimals

a)

0.09

b)

9.0

c)

0.9

d)

0.009

69.

Convert 0.9 to fractions

a)

9/100

b)

9/10

c)

3/10

d)

19/100

70.

Convert 0.3 to fractions

a)

3/10

b)

6/10

c)

5/10

d)

1/10

71.

What type of angle is this?

a)

reflex angle

b)

obtuse angle

c)

acute angle

d)

right angle

72.

What type of angle is this?

a)

reflex angle

b)

obtuse angle

c)

acute angle

d)

right angle

73.

What type of angle is this?

a)

reflex angle

b)

obtuse angle

c)

acute angle

d)

right angle

74.

What type of angle is this?

a)

reflex angle

b)

obtuse angle

c)

acute angle

d)

right angle

75.

What type of angles do these 2 angles form?

a)

supplementary angles

b)

complementary angles

c)

straight angles

d)

alternate angles

76.

What type of angles do these 2 angles form?

a)

supplementary angles

b)

complementary angles

c)

side by side angles

d)

alternate angles

77.

What type of angles do angle x and angle y form?

a)

alternate angles

b)

angles at a point

c)

corresponding angles

d)

vertically opposite angles

78.

What are these four angles called?

a)

alternate angles

b)

angles at a point

c)

angles in a circle

d)

vertically opposite angles

79.

What are these three angles called?

a)

angles on a straight line

b)

angles at a point

c)

adjacent angles on a straight line

d)

equal angles

80.

What are angle ABE and angle ECD called?

a)

corresponding angles

b)

interior angles

c)

alternate angles

d)

vertically opposite angles

81.

What are angle DFE and angle BEF called?

a)

corresponding angles

b)

interior angles

c)

alternate angles

d)

vertically opposite angles

82.

Is angle CFT equal to angle EFD? Why?

a)

Yes, they are corresponding angles

b)

Yes, they are alternate angles

c)

Yes, they are vertically opposite angles

d)

No, y is not equal to x.

83.

What are angle p and angle a called?

a)

corresponding angles

b)

interior angles

c)

alternate angles

d)

vertically opposite angles

84.

What are angle r and angle a called?

a)

corresponding angles

b)

interior angles

c)

alternate angles

d)

vertically opposite angles

85.

What are angle r and angle b called?

a)

corresponding angles

b)

interior angles

c)

alternate angles

d)

vertically opposite angles

86.

What is the corresponding angle of angle d?

a)

angle c

b)

angle s

c)

angle b

d)

angle p

87.

Which angle forms alternate angle with angle b?

a)

angle c

b)

angle s

c)

angle r

d)

angle p

88.
Classify this angle 
a)
Right angle
b)
Acute angle
c)
Obtuse angle
Obtuse
d)
Straight angle
89.
Classify this angle 
a)
Acute angle
b)
Obtuse angle
Right
c)
Right angle
Obtuse
d)
Straight angle
90.
Classify this angle 
a)
Right angle
b)
Obtuse angle
c)
Acute angle
d)
Straight angle
91.
Classify this angle 
a)
Right angle
b)
Obtuse angle
Obtuse
c)
Acute angle
Acute
d)
Straight angle
92.
Angle 1 and angle 2 are called....
a)
complementary angles
b)
vertical angles 
c)
adjacent angles
d)
supplementary angles
93.
Angle 1 and angle 3 are called
a)
complementary angles
b)
vertical angles 
c)
adjacent angles
d)
supplementary angles 
94.
Two angles that add up to 90 degrees are called
a)
complementary angles
b)
vertical angles
c)
adjacent angles
d)
supplementary angles
95.
Two angles that add up to 180 degrees are called
a)
complementary angles
b)
vertical angles
c)
adjacent angles
d)
supplementary angles
96.
How many total votes were collected?
a)
5
b)
10
c)
15
d)
20
97.
Which pizzeria has the second largest sales? 
a)
Pizza House
b)
Domiano's Pizza
c)
Little Secrets Pizza
d)
Uncle John's Pizza
98.

How many more pizzas were sold by Uncle John's Pizza than Little Secrets Pizza?

a)

40

b)

200

c)

210

d)

45

99.
What was the favourite food?
a)
Chicken
b)
Pizza
c)
Taco's
d)
Hamburger
100.
How many more students liked pizza than those that liked chicken and taco's?
a)
10
b)
14
c)
4
d)
5
101.

How many students take the bus to school?

a)

35

b)

20

c)

10

d)

15

102.
How many mountain bikes were sold?
a)
22
b)
28
c)
16
d)
6
103.
How many people voted for red as their favourite colour?
a)
100
b)
2
c)
4
d)
9
104.
How many more people have purple for a favourite colour than red?
a)
3
b)
5
c)
7
d)
9
105.
Which of the following is not always a part of the graph?
a)
Horizontal and Vertical axes.
b)
Labels
c)
Average
d)
Title 
106.
Bars on a graph should be:  
a)
Equal width
b)
Varying heights
c)
Different colours 
d)
Both equal width and varying heights. 
107.
There are 200 vegetable plants in a garden.  How many of the vegetable plants are green beans?
a)
16
b)
24
c)
28
d)
32
108.
200 people were surveyed about their favourite ice cream. How many chose Kesar Pista? 
a)
30 people
b)
60 people
c)
38 people
d)
None of these
109.

600 people were surveyed. How many people rode the stationary bikes that day?

a)

150 people

b)

120 people

c)

90 people

d)

None of these

110.
According to this graph, what is the most popular flavor of Jolly Rancher?
a)
Cherry
b)
Grape 
c)
Blue Raspberry
d)
Watermelon
111.
What percentage does a whole circle graph represent?
a)
360%
b)
90%
c)
50%
d)
100%
112.

What percent of the annual sales were washers?

a)

20%

b)

30%

c)

25%

d)

0.20%

113.

If a fisherman caught 1000 kilograms of fish, how many kilograms of catfish did he catch?

a)

20 kg

b)

200 kg

c)

25 kg

d)

50 kg

114.

If a nursery has 200 plants, how many MORE biennials than perennials does it have?

a)

10

b)

20

c)

30

d)

45

115.

If there were 70 coins in the jar, how many of the coins are gold?

a)

2

b)

233

c)

21

d)

10

116.

Which lists places the programmers in order from least productive to most productive?

a)

Damon, Vince, Philippe, Travis

b)

Philippe, Vince Damon Travis

c)

Vince, Travis, Philippe, Damon

d)

Damon, Philippe, Vince, Travis

117.

What percent of people chose ski jumping?

a)

10%

b)

20%

c)

15%

d)

25%

118.

What percent of advertising expenditures were spent on on-line advertising?

a)

15%

b)

20%

c)

25%

d)

35%

119.

What angle would you use to represent 40 red cars out of 90 cars in total on a pie chart?

a)

40 degrees

b)

160 degrees

c)

4 degrees

d)

90 degrees

120.

The pie chart shows the colours of 32 beads. How many green beads are there?

a)

90

b)

8

c)

11

d)

9

121.

These pie charts show how people travel to work in 2 towns. In which town do more people travel to work by bike?

a)

town A

b)

town B

c)

both the same

d)

impossible to say

122.

This Venn diagram represents a year 11 class.

What does the shaded area represent?

a)

16 year-olds

b)

Girls who are 16-years old

c)

All the girls

d)

Girls who are not 16-years old

123.

This Venn diagram represents a year 11 class.

What does the shaded area represent?

a)

16-year olds

b)

All the girls

c)

Girls who are 16-years old

d)

Girls who are not 16-years old

124.

This Venn diagram represents a year 11 class.

What does the shaded area represent?

a)

All 16-year olds

b)

Boys who are not 16-years old

c)

Boys who are 16-years old

d)

All the boys

125.

This Venn diagram represents a year 11 class.

What does the shaded area represent?

a)

Year 11s that are not 16-years old

b)

All the boys

c)

Not year 11s

d)

Boys who are not 16-years old

126.

This Venn diagram represents a year 11 class.

What does the shaded area represent?

a)

All the girls

b)

Girls who are 16

c)

Girls who are not 16

d)

All the boys

127.

This Venn diagram represents a year 11 class.

What does the shaded area represent?

a)

All the boys

b)

Boys who are 16-years old

c)

All the 16-year olds

d)

Girls who are 16-years old

128.

This Venn diagram represents a year 11 class.

How many girls are 16-years old?

(a)  

129.

This Venn diagram represents a year 11 class.

How many girls are not 16?

(a)  

130.

This Venn diagram represents a year 11 class.

How many girls in total?

(a)  

131.

This Venn diagram represents a year 11 class.

How many boys are 16-years old?

(a)  

132.

This Venn diagram represents a year 11 class.

How many 16-year olds in total?

(a)  

133.

This Venn diagram represents a year 11 class.

How many boys are not 16-years old?

(a)  

134.

This Venn diagram represents a year 11 class.

How many Year 11s in total?

(a)  

135.
a)
2
b)
4
c)
6
d)
8
136.
a)
1
b)
2
c)
3
d)
4
137.
a)
5
b)
6
c)
7
d)
8
138.
a)
2
b)
3
c)
4
d)
5
139.
a)
32
b)
30
c)
29
d)
20
140.
a)
24
b)
25
c)
26
d)
28
141.
a)
35
b)
40
c)
42
d)
45
142.
a)
1
b)
2
c)
3
d)
4
143.
a)
5
b)
-5
c)
7
d)
-7
144.
a)
2
b)
-1
c)
-2
d)
1
145.
a)
2
b)
1
c)
-1
d)
-2
146.
a)
1
b)
2
c)
3
d)
4
147.
a)
7
b)
8
c)
9
d)
10
148.
a)
6
b)
8
c)
2
d)
4
149.
a)
7
b)
8
c)
9
d)
10
150.
a)
7
b)
6
c)
5
d)
8
151.
a)
4
b)
5
c)
6
d)
10
152.
a)
-5
b)
-2
c)
2
d)
5
153.
a)
1
b)
2
c)
3
d)
4
154.
a)
3
b)
5
c)
7
d)
9
155.

What is the bearing of B from A?

a)

090o

b)

90o

c)

270o

d)

180o

156.

What is the bearing of B from A?

a)

090o

b)

90o

c)

270o

d)

180o

157.

What is the bearing of B from A?

a)

49o

b)

049o

c)

311o

d)

131o

158.

What is the bearing of B from A?

a)

99o

b)

099o

c)

261o

d)

081o

159.

What is the bearing of B from A?

a)

28o

b)

028o

c)

108o

d)

152o

160.

What is the bearing of B from A?

a)

61o

b)

241o

c)

119o

d)

061o

161.

What is the bearing of B from A?

a)

39o

b)

039o

c)

321o

d)

141o

162.

What is the bearing of B from A?

a)

25o

b)

025o

c)

335o

d)

155o

163.

What is the bearing of B from A?

a)

103o

b)

263o

c)

77o

d)

257o

164.

What is the bearing of B from A?

a)

9o

b)

09o

c)

009o

d)

351o

165.

What is the bearing of NE?

a)

45o

b)

045o

c)

090o

d)

90o

166.

What is the bearing of SW?

a)

135o

b)

225o

c)

270o

d)

235o

167.

Which direction has a bearing of 112.5o?

a)

East

b)

South-East

c)

East-South-East

d)

South-South-East

168.

Which direction has a bearing of 202.5o?

a)

South

b)

South-West

c)

West-South-West

d)

South-South-West

169.

Which of these could be bearings?

Select all possible answers

a)

025o

b)

081

c)

37o

d)

278o

e)

004o

170.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked x

a)

7/10

b)

3/10

c)

6/9

d)

2/9

171.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked y

a)

7/10

b)

3/10

c)

6/9

d)

2/9

172.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked w

a)

7/10

b)

3/10

c)

6/9

d)

2/9

173.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of picking two red counters.

a)

6/90

b)

5/19

c)

47/90

d)

2/9

174.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of picking one of each colour counters.

a)

21/90

b)

48/90

c)

42/90

d)

10/19

175.

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is 3/4.

If Bert chooses orange, the probability that Ernie chooses orange is 4/5.

If Bert chooses apple the probability that Ernie chooses apple is 2/3.

Find the value of the probability marked c.

a)

1/4

b)

1/5

c)

1/3

d)

3/4

176.

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is 3/4.

If Bert chooses orange, the probability that Ernie chooses orange is 4/5.

If Bert chooses apple the probability that Ernie chooses apple is 2/3.

Find the value of the probability marked d.

a)

1/4

b)

1/5

c)

1/3

d)

3/4

177.

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is 3/4.

If Bert chooses orange, the probability that Ernie chooses orange is 4/5.

If Bert chooses apple the probability that Ernie chooses apple is 2/3.

Find the value of the probability marked e.

a)

1/4

b)

1/5

c)

1/3

d)

3/4

178.

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is 3/4.

If Bert chooses orange, the probability that Ernie chooses orange is 4/5.

If Bert chooses apple the probability that Ernie chooses apple is 2/3.

What is the probability that both Bert & Ernie choose orange juice?

a)

12/20

b)

3/9

c)

2/12

d)

7/9

179.

Bert & Ernie choose a juice to have for breakfast.

The probability that Bert chooses orange is 3/4.

If Bert chooses orange, the probability that Ernie chooses orange is 4/5.

If Bert chooses apple the probability that Ernie chooses apple is 2/3.

What is the probability that Bert & Ernie choose different juices?

a)

3/20

b)

1/12

c)

14/60

d)

19/60

180.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

a)

1/4

b)

1/2

c)

2/4

d)

3/4

181.

A tree diagram is useful in determining the __________of a probability experiment.

a)

result

b)

possible outcomes

c)

event

d)

none of the above

182.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability that one is even and one is odd?

a)

1/2

b)

1/4

c)

3/4

d)

1/3