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Year 8 Mathematics Review (Part II)

Total questions: 50

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
0.92 ____ 0.095
a)
>
b)
<
c)
=
d)
?
2.
Which number is greatest? 
0.567
0.657
0.700
a)
0.657
b)
0.567
c)
0.700
d)
none of the above
3.
Which shape has six sides?
a)
hexagon
b)
pentagon
c)
trapezoid
d)
triangle
4.
Brooke is making a present for Mrs. Tiptach. She has $16.95 to spend. She buys fabric for $8.95, glue for $1.95 and craft paper for $4.29. How much money does she have left after she buys everything she needs?
a)
$14.93
b)
$2.95
c)
$2.02
d)
$1.43
5.
How many people like cheese pizza the best?
a)
5
b)
10
c)
25
d)
50
6.
Subtract.
  9,004
-    632
a)
8,272
b)
8,372
c)
9,372
7.
Rick drove 12,363 miles in his new car the first year he owned it.  He drove 15,934 miles the second year.  How many miles altogether did Rick drive these two years?
a)
23,571 miles
b)
27,297 miles
c)
28,291 miles
d)
28,297 miles
8.
4/9 x 1/5
a)
4/45
b)
4/14
c)
5/14
d)
4/40
9.
If a = 4 & b = 6, what is 3a + 5b?
a)
40
b)
42
c)
44
d)
46
10.
If y=7,find the value of 2(y+4)
a)
11
b)
22
c)
20
11.

Fill in the number sequence below:

1, 4, 9, 16, 25, 36, __, 64, __, 100, 121, 144

a)

42, 72

b)

49, 81

c)

42, 81

d)

49, 72

12.

Find the nth term of the following sequence...


2, 5, 8, 11...

a)

3n-1

b)

3n+1

c)

n+3

d)

n-1

13.

Find the nth term of the following sequence...


11, 17, 23, 29...

a)

6n+5

b)

6n-5

c)

5n+6

d)

5n-6

14.

The nth term of a sequence is: 4n - 1.

Is 35 a number in the sequence?

a)

Yes

b)

No

15.

 14÷56=\frac{1}{4}\div\frac{5}{6}=  


Find the answer in decimal form.

a)

0.6

b)

0.03

c)

0.3

d)

3.0

16.

Find the number of lines of symmetry for this logo.

a)

3

b)

0

c)

2

d)

1

17.

 2w(8)w -2w-\left(-8\right)w\   


Simplify this expression.

a)

 6w6w  

b)

 10w-10w  

c)

 6w-6w  

d)

 10w10w  

18.

 15=r2-15=\frac{r}{2} 

Find r

a)

-7.5

b)

-30

c)

30

d)

7.5

19.

 3h×h×y3h\times h\times y  

a)

3hy

b)

 3h2y3h^2y  

20.
What is the probability of rolling a 5 on a standard die?
a)
1/5
b)
5/6
c)
1/6
d)
5
21.
Based on the chart, what is the experimental probability of pulling a green marble?
a)
1/8
b)
8/25
c)
8/100
d)
7/8
22.
How many people purchased no food and no drink?
a)
60
b)
10
c)
20
d)
200
23.
   6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
24.
Factorise 4x + 14
a)
2(x+7)
b)
4(x+10)
c)
4(x+3)
d)
2(x+12)
25.
Bert worked 49.25 hours this week. He gets paid $12.45 per hour for the first 40 hours and then gets double-time for the rest of the time. How much money did he make this week? 
a)
$613.16
b)
$785.91
c)
$670.74
d)
$728.33
26.
Frank worked 48.5 hours this week. He gets paid $11.13 per hour for the first 40 hours and then gets time-and-a-half for the rest of the time. How much money did he make working overtime this week? 
a)
$139.81
b)
$141.91
c)
$445.20
d)
$587.11
27.
The selling price of a chicken is RM9.00. If Mak Rinna buys 85   chickens for her restaurant, how much does she have to pay?
a)
 RM725
b)
RM765
c)
RM756
d)
RM785
28.

 215  1 710 =2\frac{1}{5}\ -\ 1\ \frac{7}{10}\ =  

a)

 22  

b)

 12\frac{1}{2}  

c)

 1351\frac{3}{5}  

d)

 11101\frac{1}{10}  

29.

 135×412 = 1\frac{3}{5}\times4\frac{1}{2}\ =\   


a)

 4154\frac{1}{5}  

b)

 6156\frac{1}{5}  

c)

 6156\frac{1}{5}  

d)

 7157\frac{1}{5}  

30.
At the beginning of the summer, Jenna had saved $141.  To earn money of the summer, she is working part time at the local community center.  She will earn $32 per day of work.  If x represents the number of days she works, which of the following equations represents how much money she will have, including her savings?
a)
y = 141-32x
b)
y = x + 141
c)
y = 32x + 141
d)
y = 141x + 32
31.
Stephanie planted a home garden.  She planted 2 rows of tomatoes with 4 tomato plants in each row.  She also planted squash in rows of 6 plants each.  If x represents the number of rows of squash she planted, which of the following equations can be used to find the total number of plants Stephanie planted in her home garden?
a)
y = 6x + 6
b)
y = 8x + 6
c)
y = 7x + 6
d)
y = 6x + 8
32.
Solve the following equation,
7x - 9 = 33
a)
x = 24/7
b)
x = 42
c)
x = 24
d)
x = 6
33.
Expand the following,
3(x - 5)
a)
3x - 5
b)
-15x
c)
3x - 15
d)
-2x
34.

What is the value of y?

 2y14=202y-14=-20  

a)

 3-3  

b)

 17-17  

c)

 33  

d)

 1717  

35.

FInd the value of t

 5(2t4)=205\left(2t-4\right)=20  

a)

 00  

b)

 44  

c)

 5252  

d)

 14.514.5  

36.

Solve the following linear equations:

 x=5y, 7x2y=66x=5y,\ 7x-2y=66  

a)

 x=10, y=2x=10,\ y=2  

b)

 x=10, y= 66x=10,\ y=\ 66  

c)

 x=33, y=66x=33,\ y=66  

d)

 x=33, y=2x=33,\ y=2  

37.

The area of a triangle is 80 cm2 and its base is 8cm. If its height is (6 + k)cm, find the value of k.

a)

7

b)

14

c)

47

d)

74

38.

 3y105=6y\frac{3y-10}{5}=6-y  

a)

 y=5y=5  

b)

 y=10y=10  

c)

 y=20y=20  

d)

 y=15y=15  

39.

What is the prime factorisation of 54?

a)

 2×3×3×32\times3\times3\times3  

b)

 2×2×3×32\times2\times3\times3  

c)

 6×3×36\times3\times3  

d)

 2×3×42\times3\times4  

40.

 54=2×3×3×354=2\times3\times3\times3  
 108=2×2×3×3×3108=2\times2\times3\times3\times3  
Using prime factors, find the HCF of 54 and 108.

a)

54

b)

27

c)

2916

d)

324

41.

 42=2×3×742=2\times3\times7  
 70=2×5×770=2\times5\times7  

Find the HCF of 42 and 70.

a)

2

b)

7

c)

14

d)

210

42.

 105=3×5×7105=3\times5\times7  

 30=2×3×530=2\times3\times5  
Find the HCF of 105 and 30.

a)

30

b)

15

c)

7

d)

5

43.

Find the HCF of 18, 36 and 63.


18 = 2 x 3 x 3

36 = 2 x 2 x 3 x 3

63 = 3 x 3 x 7

a)

9

b)

14

c)

36

d)

252

44.

 54=2×3×3×354=2\times3\times3\times3  
 108=2×2×3×3×3108=2\times2\times3\times3\times3  
Using prime factors, find the LCM of 54 and 108.

a)

54

b)

108

c)

2916

d)

324

45.

42=2×3×742=2\times3\times7
70=2×5×770=2\times5\times7

Find the HCF of 42 and 70.

a)

42

b)

70

c)

14

d)

210

46.
Which figure will this net make?
a)
Cone
b)
Triangular Prism
c)
Square Pyramid 
d)
Cube
47.
Which figure will this net make?
a)
Triangular Pyramid
b)
Hexagonal Pyramid
c)
Octagonal Pyramid 
d)
Cube
48.

Name the 3D shape

a)

Cube

b)

Rectangular Prism

c)

Rectangular Pyramid

d)

Triangular Prism

e)

Triangular Pyramid

49.
What is the total surface area of the rectangular pyramid whose net is shown?
a)
400 in2
b)
800 in2
c)
1,200 in2
d)
1,600 in2
50.
 What is the area of this shape?
a)
48 ft2
b)
216 ft2
c)
65 ft2
d)
128 ft2