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Year 7 Test Prep T4

Total questions: 72

Worksheet time: 2hrs 24mins

Name
Class
Date
1.
a)

x = 31 (ALT)

b)

x = 31 (CORR)

c)

x = 149 (ALT)

d)

x = 149 (CORR)

2.
a)

48 (COIN)

b)

132 (COIN)

c)

42 (VERT OPP)

d)

132 (VERT OPP)

3.
a)

119

b)

61

c)

71

d)

109

4.
a)

70 (CORR)

b)

110 (COIN)

c)

70 (COIN)

d)

110 (CORR)

5.

Angle C and B are...

a)

Alternate Angles

b)

Vertically Opposite Angles

c)

Corresponding Angles

d)

Cointerior Angles

6.
Solve for y.
a)
y = 55
b)
y = 35
c)
y = 70
d)
y = 70
7.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
8.

Are these lines parallel? Why?

a)

Yes - the angles provided add up to 180

b)

Yes - the lines are going in the same direction

c)

No - the angles are not equal

d)

No - not enough info

9.

Find the measure of the indicated angle.

a)

95

b)

225

c)

35

d)

45

10.

Find the measure of the missing angle.

a)

90o

b)

1400

c)

130o

d)

50o

11.

What is the complementary angle pair to 56?

a)

34

b)

124

c)

36

d)

126

12.

What is the supplementary angle pair to 78?

a)

12

b)

102

c)

78

d)

180

13.

What is the measure of x?

a)

34

b)

90

c)

146

d)

44

14.

What is x?

a)

30

b)

60

c)

90

d)

15

15.

What is the measure of angle ADC? Leave your answer as an algebra expression

a)

(x + 7) + (2x + 19)

b)

2x2 + 28

c)

3x + 26

d)

x + 12

16.

What is 40% of 300?

a)

30

b)

60

c)

90

d)

120

17.

What is 30% of 360cm

a)

12cm

b)

108cm

c)

10.8cm

d)

120cm

18.

Calculate 32% of 750m

a)

24m

b)

2.4m

c)

2400m

d)

240m

19.

A TV has a sale price of 25% off. The original price was $260. What is the sale price?

a)

$65

b)

$325

c)

$195

d)

$75

20.

Sarah has a 4% pay rise. Her original wage was $32,500 per year. What is her new wage?

a)

$31,200

b)

$1,300

c)

$13,000

d)

$33,800

21.

180% of 47 kg

a)

81.88 kg

b)

82 kg

c)

84.6 kg

d)

83.2 kg

22.
Which is the best buy?
7 pencils for $1.40
6 pencils for $1.26
a)
7 pencils for $1.40
b)
6 pencils for $1.26
c)
Neither
23.

What is the best deal?

0.5 kg of rice at $1.80

5 kg of rice at $16.95

a)

0.5 kg of rice at $1.80

b)

5 kg of rice at $16.95

c)

They are the same price

24.

What is the best price?

2 liters of milk at $3.80

1.5 liters of milk at $2.85

a)

2 liters of milk for $3.80

b)

1.5 liters of milk at $2.85

c)

Neither

25.
What is an equivalent ratio to 3/4?
a)
1/4
b)
4/5
c)
12/16
d)
14/18
26.

In the fruit bowl there are 4 apples, 2 bananas, and 6 pears. What is the ratio of pears to ALL fruit?

a)

6:12

b)

1:2

c)

12:6

d)

2:1

27.

Tommy has a bag of LEGOS. There are 6 yellow, 2 red, and 8 blue LEGOS. What is the ratio in simplest form of red to yellow to blue?

a)

1:3:4

b)

2:6:8

c)

4:1:3

d)

6:8:2

28.

What is the ratio of stars to circles?

a)

4:7

b)

4:11

c)

1:1

d)

11:4

29.
The Northwestern huskies had a record of 25 wins and 45 losses.  What was the ratio of wins to losses?
a)
9:5
b)
5:9
c)
5:3
d)
3:5
30.

What is the ratios of cats to dogs if there are 28 cats and 70 dogs?

a)

2:5

b)

5:2

c)

70:28

d)

14:35

31.

Are the following ratios equivalent

6:12 = 15:30

a)

YES

b)

NO

32.
Which ratio is equivalent to 12:20
a)
20:12
b)
2:3
c)
3:5
d)
3:10
33.

Express this ratio in simplest form.

a)

4:9

b)

16:9

c)

4:5

d)

80:45

34.

Fully simplify the ratio....


18mm:3cm

a)

18:30

b)

6:1

c)

3:5

d)

6:10

35.

If the ratio of boys to girls is 5:7, and there are 35 girls, how many boys are there?

a)

30

b)

25

c)

35

d)

49

36.

Write 3g as a percentage of 20g

a)

15%

b)

12%

c)

3%

d)

60%

37.

Write 4m as a percentage of 5m

a)

90%

b)

40%

c)

20%

d)

80%

38.
3.8 x 4
a)
1.52
b)
7.8
c)
7.08
d)
15.2
39.
Anita pays $20.70 to copy an 18 page report. What is the cost for each page?
a)
$1.05
b)
$1.03
c)
$1.15 
d)
$1.10
40.
25.2 ÷ 4
a)
6.4
b)
5.13
c)
5.4
d)
6.3
41.
45.1 x 7
a)
31.57
b)
315.7
c)
3,157
d)
3.157
42.

Split $40 into the ratio 3:7

a)

$28 : $12

b)

$30 : $70

c)

$30 : $10

d)

$12 : $28

43.

Split $35 into the ratio 6:2

a)

$26.25 : $8.75

b)

$25.26 : $7.85

c)

$5.83 : $17.50

d)

$8.75 : $26.25

44.

What is the value of angle a?

a)

130

b)

90

c)

40

d)

50

45.

What is the value of angle a?

a)

150

b)

140

c)

130

d)

40

46.

What is the value of a?

a)

72

b)

60

c)

30

d)

36

47.

-8 - (6 - 8)

a)

-22

b)

-10

c)

-6

d)

10

48.

-2 - (-8)

a)

6

b)

-6

c)

-10

d)

10

49.

-9 + (-5)

a)

-14

b)

14

c)

-4

d)

4

50.
The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?
a)
3 degrees
b)
12 degrees
c)
11 degrees
d)
10 degrees
51.

(-7) x (-3) =

a)

-21

b)

21

c)

28

d)

-10

52.

−27 ÷ −9 =

a)

3

b)

-3

c)

243

d)

-36

53.

(-1)(-1)(-1)(-2)

a)

2

b)

-2

c)

-5

d)

5

54.

(-2) x (- 4) x (-3)

a)

24

b)

-24

c)

-9

d)

-21

55.
64 ÷ (-8)
a)
8
b)
-8
c)
-9
d)
-7
56.

(-5 + -3) ÷ 2

a)

-1

b)

4

c)

-4

d)

1

57.

(10 × -4) ÷ 5

a)

8

b)

-8

c)

40

d)

-200

58.

(-3 + -7) × (-5) ÷ (-2)

a)

10

b)

50

c)

25

d)

-25

59.

3a×4a

a)

12a

b)

a2

c)

a12

d)

12a2

60.
a2+a2
a)
2a2
b)
4a
c)
a4
d)
2a4
61.

a×a+a×a

a)

4a

b)

a4

c)

2a

d)

2a2

62.

Simplify this expression:

-7w + (-6) + 5 + (-9w)

a)

-2w - 1

b)

-16w - 11

c)

-16w - 1

d)

-2w + 11

63.

Simplify the expression:

-3c + 5r -7r + 8c + 23 - 3r -12

a)

5c -5r + 11

b)

5c - 15r - 35

c)

-5c + 5r + 35

d)

11c -15r + 11

64.

Expand the expression:


5 ( -2x + 3)

a)

-10x + 15

b)

10x - 15

c)

3x + 8

d)

-10x + 3

65.

1/2(8a - b +16)

a)

4a - 1/2b + 16

b)

8.5a + 1/2b + 16

c)

4a - 1/2b + 8

d)

4a + 1/2b - 8

66.

If a = 4 and b = 6, what is the value of 3a + 5b?

a)

38

b)

42

c)

44

d)

46

67.
If a = 4, b = 5 and c = 6, find 2c-a-b
a)
4
b)
3
c)
6
d)
5
68.

What is the value of -3y - 9 if y = -8?

a)

15

b)

-33

c)

14

d)

-14

69.

Simplify:


2m(m + n)

a)

2m2+n

b)

2mm+2mn

c)

2m2+2mn

d)

2n2+2m

70.

Expand and simplify


7(p+10q)+2(6p+7q)

a)

7p+70q+12p+14q

b)

19p+84q

c)

15p+17q

d)

19p+77q

71.

Find the perimeter of the rectangle.

a)

3x + 7

b)

6x + 14

c)

18x + 6

d)

14 + 6x

72.

-2(3w - 5)

a)

-6w + 10

b)

6w +10

c)

-6w - 10

d)

-6w - 5