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Worksheets

Year 10 Revision

Total questions: 69

Worksheet time: 2hrs 49mins

Name
Class
Date
1.

Triangle ABC and XYZ are similar. Use your knowledge of scale factor to find the length of X.

a)

20

b)

25

c)

100

d)

40

2.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
3.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
4.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
5.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
6.

The probability based on frequency of outcomes during an experiment

a)

experimental probability/ relative frequency

b)

fundamental counting principle

c)

mutually exclusive event

d)

dependent event

7.
You flip a nickel three times.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
8.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
9.
A probability near 1 is _______.
a)
never going to happen 
b)
very likely to happen
c)
probably never going to happen
d)
 equally likely to happen
10.

A bag contains:

• 5 red marbles

• 6 blue marbles

• 3 green marbles

• 4 black marbles

• 2 yellow marbles

A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn? (Hint: Use a Proportion)

a)

14

b)

65

c)

7

d)

35

11.

P(Sandals):

a)

16/22

b)

20/36

c)

16/20

d)

20/16

12.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
13.
a)

2/12

b)

1/2

c)

1/12

d)

1/24

14.

What is the probability of her having a packed lunch and NOT a cup of tea?

a)

9/15

b)

6/50

c)

9/50

d)

21/50

15.

What is the probability that a female walked? (Calculator allowed)

a)

0.147

b)

0.273

c)

0.315

d)

0.77

16.

What is the probability that a male caught the train? (Calculator allowed)

a)

0.147

b)

0.273

c)

0.203

d)

0.377

17.

What is the probability of NOT landing on a red tile?

a)

0.12

b)

0.18

c)

0.8

d)

0.88

18.
Identify the hypotenuse.
a)
x
b)
z
c)
w
19.
What kind of triangles does the Pythagorean Theorem work with?
a)
Right
b)
Left
c)
Isosceles
d)
Equilateral
20.
Evaluate x.
a)
35
b)
20
c)
8
d)
12
21.
The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place. 
a)
5.2 m
b)
5.3 m
c)
5.7 m
d)
5.8 m
22.
Which trig ratio uses the adjacent side and the opposite side?
a)
sine
b)
cosine
c)
tangent
23.

Which side is opposite angle x?

a)

1

b)

2

c)

3

24.
Fill in the blank...
SOH ___ TOA
a)
COH
b)
CAH
c)
COA
d)
CHA
25.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
26.
Set up the problem.
a)
sin(47) = x/28
b)
cos(47) = x/28
c)
tan(47) = x/28
d)
cos(47) = 28/x
27.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
28.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
29.
What would you use to solve for a?
a)
sin
b)
cos
c)
tan
d)
Pythagorean theorem
30.
What is this type of graph called?
a)
Frequency Line Graph
b)
Frequency Diagram
c)
Bar Chart
d)
Frequency Polygon
31.
What is the median length?
a)
40.5 cm
b)
30 cm
c)
24.5 cm
d)
32 cm
32.

What is the Median Value?

a)

9

b)

10

c)

8

d)

15

33.

What is the Upper Quartile Value?

a)

10

b)

18

c)

15

d)

14

34.

What is the Maximum Value?

a)

18

b)

15

c)

20

d)

8

35.
What is the minimum value?
a)
64
b)
58
c)
66
d)
60
36.
Which box and whisker plot shows more "spread out" data?
a)
Top plot
b)
Bottom plot
37.
Using the line of best fit. If a student had a handspan of 20.5cm, find an estimate for their height
a)
20.5 cm
b)
155 cm
c)
160 cm
d)
161 cm
38.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
39.

Where do you plot the points on a frequency polygon?

a)

Start of the group

b)

End of the group

c)

Midpoint

d)

Any of these

40.
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
41.

Shona cycles at an average speed of 8km/h. How far has she travelled if she cycles for 4 hours?

a)

2km

b)

32km

c)

43km

d)

32miles

42.
Jack has a rock. The rock has a mass of 14g and a volume of 2cm3. What is the density of the rock?
a)
7 mL
b)
7 g/cm3
c)
28 g/cm3
d)
1/7 g/cm3
43.

Find the gradient of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

44.

Find the gradient of the line.

a)

1/4

b)

-1/4

c)

-4

d)

4

45.

Find the gradient

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

46.
Find the Gradient of the linear equation
 y= 12x-4
a)
4
b)
-12
c)
12
d)
-4
47.
What does 'c' represent in y=mx+c
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
48.

What does "m" represent in y=mx+c?

a)

y-intercept

b)

gradient

c)

macaroni

d)

nothing

49.
gradients of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
50.
Which line has a negative gradient?
a)
Yellow
b)
Red
c)
Blue
d)
Green
51.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
52.
what is the equation of the line shown:
a)
y = -3x + 2
b)
y = -1/3 x + 2
c)
y = 3x + 2
d)
y = 1/3 x + 2
53.
Y = 2/3 x - 2
The m value is
a)
2/3x
b)
2/3
c)
-2
54.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
55.
Take a guess! Which one is the correct construction for a perpendicular bisector?
a)
1
b)
2
c)
3
d)
4
56.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
57.
Which of the following constructions is illustrated?
a)
An angle is congruent to a given angle
b)
The bisector of a given angle
c)
The bisector of a given segment
d)
The perpendicular bisector of a given segment.
58.
Name the construction.
a)
Angle bisector
b)
Perpendicular line to a point not on a line
c)
Angle median
d)
Perpendicular bisector of a line segment
59.
What type of construction do you see?
a)
midpoint
b)
angle bisector
c)
perpendicular bisector
d)
altitude
60.

When told to find all points equidistant from A and B you would:

a)

Draw an arc above point A

b)

Draw an angle bisector at A

c)

Draw an arc between point A and point B

d)

Draw a perpendicular bisector of line AB

61.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

a)

$59549.74

b)

$831.10

c)

$839.45

d)

$846.80

62.
What is
the correct bearing?
a)
30
b)
330
c)
030
d)
60
63.

What is the bearing

a)

215

b)

035

c)

30

d)

145

64.

Find the estimated mean from the following table...


You may need to copy the table out and add columns...

a)

28.5

b)

31.5

c)

30.5

d)

29.5

65.

If 5 cans of pop cost £2.75, how much would 9 cost?

a)

£24.75

b)

£5.50

c)

£5.25

d)

£4.95

66.

Which is best value for money:

a)

3 cans of pop for 90p

b)

4 cans of pop for £1.40

c)

2 cans for 66p

d)

5 cans for £1.60

67.
A class has 30 students. 18 are boys. What is the ratio of boys to girls?
a)
12:18
b)
3:2
c)
30:18
d)
18:7
68.
Split £35 into the ratio 5:2
a)
£25 : £10
b)
£175 : £70
c)
£10 : £25
d)
£35 : £15
69.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50

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