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WorksheetsGr8 Final Exam Review
Total questions: 91
Worksheet time: 1hrs 12mins
Name
Class
Date
1.
Which of the following are NOT like terms?
a)
12ab and 5ab
b)
9x and 3x
c)
7yz and 2zy
d)
6m and 4m^2
2.
According to the Distributive Law 5(a+b) is equal to:
a)
5a+b
b)
5ab
c)
5a+5b
d)
a+b+5
3.
Simplify the expression: 7p - 3q + 2p + 8q
a)
9p + 5q
b)
9p - 5q
c)
5p + 5q
d)
5p - 5q
4.
Expand and then simplify: 4(x-2) + 3x + 10
a)
7x + 2
b)
7x + 18
c)
7x - 2
d)
7x - 18
5.
Determine the highest common factor (HCF) of 24mn and 36mp.
a)
6m
b)
12m
c)
12mnp
d)
6mn
6.
Factorise the expression: 18x - 27y
a)
9(2x-3y)
b)
3(6x-9y)
c)
9xy
d)
9(2x+3y)
7.
Solve the equation: 8c = 72
a)
c = 8
b)
c = 9
c)
c = 7
d)
c = 64
8.
Solve the equation: d + 15 = 40
a)
d = 20
b)
d = 25
c)
d = 30
d)
d = 55
9.
Solve the equation: 2(y+5) - 3 = 17
a)
y = 5
b)
y = 6
c)
y = 4
d)
y = 7
10.
The probability of a train arriving on time is 0.9. What is the probability it does NOT arrive on time?
a)
0.1
b)
0.9
c)
0.5
d)
1
11.
A jar contains 4 red candies / 6 blue candies / and 10 green candies. What is the probability of picking a green candy?
a)
0.2
b)
0.3
c)
0.4
d)
0.5
12.
A square has a side length of (3s - 2) cm. Write an expression for its perimeter.
a)
3s - 2
b)
12s - 8
c)
9s^2 - 12s + 4
d)
6s - 4
13.
In a class of 30 students 18 play soccer 12 play basketball and 5 play both. How many students play neither soccer nor basketball?
a)
5
b)
10
c)
15
d)
20
14.
In a survey of 50 people 30 owned a car and 20 did not. Of those who owned a car 15 also owned a bicycle. Of those who did not own a car 5 owned a bicycle. How many people owned a bicycle in total?
a)
15
b)
20
c)
30
d)
35
15.
Factorise the expression: 12p^2q + 6pq - 18pr
a)
6p(2pq + q - 3r)
b)
6p(2pq + q + 3r)
c)
6pq(2p + 1 - 3r)
d)
6p(2pq + q - 3pr)
16.
Solve the equation: x / 7 = -5
a)
x = 35
b)
x = -35
c)
x = 12
d)
x = -12
17.
Simplify the expression: 5a + 7b - 2a - 3b
a)
3a + 4b
b)
7a + 10b
c)
3a - 4b
d)
7a - 10b
18.
Expand: -3(2m - 4)
a)
-6m - 12
b)
-6m + 12
c)
6m - 12
d)
6m + 12
19.
What is the HCF of 45x^2y and 60xy^2?
a)
15xy
b)
5xy
c)
15x^2y^2
d)
30xy
20.
Factorise: 10gh - 25g
a)
5g(2h - 5)
b)
5g(2h + 5)
c)
5(2gh - 5g)
d)
5g(2h - 25)
21.
Solve: 4(z - 3) = 20
a)
z = 5
b)
z = 8
c)
z = 10
d)
z = 2
22.
The probability of rolling an even number on a standard six-sided die is:
a)
'1/6
b)
'1/3
c)
'1/2
d)
'2/3
23.
A rectangle has a width of w and a length of 2w + 3. Its perimeter is 36 cm. What is the value of w?
a)
4
b)
5
c)
6
d)
7
24.
In a survey of 100 people 70 liked coffee 40 liked tea and 20 liked both. How many liked neither?
a)
10
b)
20
c)
30
d)
40
25.
Simplify: 9x^2 + 5x - 3x^2 - 2x
a)
6x^2 + 3x
b)
12x^2 + 7x
c)
6x^2 - 3x
d)
12x^2 - 7x
26.
Solve: -7k = -56
a)
k = 7
b)
k = 8
c)
k = -7
d)
k = -8
27.
A bag contains 5 red / 3 green / and 2 yellow balls. What is the probability of picking a red or yellow ball?
a)
0.5
b)
0.7
c)
0.8
d)
0.3
28.
The perimeter of a triangle with sides x x+1 and x+2 is 24. What is the value of x?
a)
5
b)
6
c)
7
d)
8
29.
Factorise: 4a^2b - 8ab^2 + 12abc
a)
4ab(a - 2b + 3c)
b)
4ab(a + 2b + 3c)
c)
4ab(a - 2b - 3c)
d)
4abc(a - 2b + 3)
30.
If P(A) = 0.6 and P(B) = 0.3 and A and B are mutually exclusive then P(A or B) is:
a)
0.9
b)
0.3
c)
0.6
d)
0.18
31.
Solve the equation: 3(x + 4) = 27
a)
x = 5
b)
x = 7
c)
x = 9
d)
x = 11
32.
Simplify the expression: 10m - 4n + 2m + 6n
a)
12m + 2n
b)
8m + 10n
c)
12m - 2n
d)
8m - 10n
33.
Expand: 5(3y - 2) + 7
a)
15y + 17
b)
15y - 3
c)
15y - 10
d)
15y + 7
34.
What is the HCF of 70p^2q and 42pq^2?
a)
14pq
b)
7pq
c)
14p^2q^2
d)
21pq
35.
Factorise: 24ab - 16a
a)
8a(3b - 2)
b)
8a(3b + 2)
c)
4a(6b - 4)
d)
8(3ab - 2a)
36.
Solve: (k - 5) / 3 = 4
a)
k = 17
b)
k = 12
c)
k = 7
d)
k = 15
37.
The probability of picking a blue marble from a bag is 0.35. What is the probability of NOT picking a blue marble?
a)
0.65
b)
0.35
c)
0.5
d)
0.7
38.
A box contains 12 red pens 8 blue pens and 5 green pens. What is the probability of picking a blue pen?
a)
0.32
b)
0.4
c)
0.2
d)
0.25
39.
The area of a rectangle is 48 square cm. If the length is 8 cm what is the width?
a)
4 cm
b)
5 cm
c)
6 cm
d)
7 cm
40.
In a group of 50 students 25 play piano 20 play guitar and 10 play both. How many play neither instrument?
a)
5
b)
10
c)
15
41.
Simplify: 15a^2 + 7a - 8a^2 - 3a
a)
7a^2 + 4a
b)
23a^2 + 10a
c)
7a^2 - 4a
d)
23a^2 - 10a
42.
Solve: -9x = 81
a)
x = 9
b)
x = -9
c)
x = 8
d)
x = -8
43.
A spinner has 4 equal sections: Red Blue Green Yellow. What is the probability of landing on Red or Green?
a)
0.25
b)
0.5
c)
0.75
d)
1
44.
The perimeter of a square is 40 cm. What is the length of one side?
a)
8 cm
b)
10 cm
c)
12 cm
d)
16 cm
45.
In a survey of 200 people 120 like apples 90 like bananas and 50 like both. How many like neither?
a)
40
b)
50
c)
60
d)
70
46.
Factorise: 6xy^2 - 18x^2y + 12xyz
a)
6xy(y - 3x + 2z)
b)
6xy(y + 3x + 2z)
c)
6xy(y - 3x - 2z)
d)
6xyz(y - 3x + 2)
47.
Solve the equation: 6(w - 2) + 5 = 23
a)
w = 4
b)
w = 5
c)
w = 6
d)
w = 7
48.
Simplify the expression: 11c + 5d - 3c - 2d
a)
8c + 3d
b)
14c + 7d
c)
8c - 3d
d)
14c - 7d
49.
Expand: -4(3p + 5)
a)
-12p - 20
b)
-12p + 20
c)
12p - 20
d)
12p + 20
50.
What is the HCF of 30a^2b and 45ab^2?
a)
15ab
b)
5ab
c)
15a^2b^2
d)
30ab
51.
Factorise: 15mn - 20m
a)
5m(3n - 4)
b)
5m(3n + 4)
c)
5(3mn - 4m)
d)
5m(3n - 20)
52.
Solve: (t + 8) / 2 = 10
a)
t = 12
b)
t = 28
c)
t = 2
d)
t = 16
53.
The probability of rain tomorrow is 0.2. What is the probability it will NOT rain tomorrow?
a)
0.8
b)
0.2
c)
0.5
d)
0.75
54.
A spinner has 8 equal sections: 3 Red / 2 Blue / 3 Green. What is the probability of landing on Blue?
a)
'3/8
b)
'2/8
c)
'1/4
d)
'1/2
55.
A triangle has angles x / 2x / and 3x. What is the value of x?
a)
30
b)
45
c)
60
d)
90
56.
In a survey of 75 people 40 liked dogs 30 liked cats and 15 liked both. How many liked neither?
a)
10
b)
15
c)
20
d)
25
57.
Simplify: 7y^2 - 4y + 2y^2 + 6y
a)
9y^2 + 2y
b)
5y^2 + 10y
c)
9y^2 - 2y
d)
5y^2 - 10y
58.
Solve: -6z = -48
a)
z = 6
b)
z = 7
c)
z = 8
d)
z = 9
59.
A bag contains 7 red / 4 blue / and 9 green balls. What is the probability of picking a blue or green ball?
a)
0.45
b)
0.65
c)
0.7
d)
0.55
60.
The perimeter of a rectangle is 28 cm. If the length is 9 cm what is the width?
a)
3 cm
b)
4 cm
c)
5 cm
d)
6 cm
61.
Factorise: 9x^2y + 15xy^2 - 3xyz
a)
3xy(3x + 5y - z)
b)
3xy(3x - 5y + z)
c)
3xy(3x + 5y + z)
d)
3xyz(3x + 5y - 1)
62.
A survey of 100 people found 60 owned a smartphone and 40 did not. 35 smartphone owners also owned a tablet. 10 non-smartphone owners also owned a tablet. How many people owned a tablet in total?
a)
35
b)
40
c)
45
d)
50
63.
Based on the previous question's data (100 people: 60 smartphone 40 no smartphone; 35 smartphone-tablet 10 no smartphone-tablet). How many people owned a smartphone but NOT a tablet?
a)
25
b)
35
c)
40
d)
60
64.
In a school of 200 students 120 take Math and 80 take Science. 50 students take both. How many students take ONLY Math?
a)
50
b)
70
c)
120
d)
130
65.
Using the data from the previous question (200 students: 120 Math 80 Science 50 both). How many students take neither Math nor Science?
a)
20
b)
50
c)
60
d)
70
66.
A company has 150 employees. 90 are full-time and 60 are part-time. 70 full-time employees work from home. 20 part-time employees work from home. What percentage of employees work from home?
a)
0.4
b)
0.5
c)
0.6
d)
0.7
67.
In a survey of 40 people 25 like apples and 15 like bananas. If 10 people like both apples and bananas how many like only apples?
a)
10
b)
15
c)
20
d)
25
68.
Using the data from the previous question (40 people: 25 apples 15 bananas 10 both). How many people like neither apples nor bananas?
a)
5
b)
10
c)
15
d)
20
69.
In a class of 30 students 20 passed Math 15 passed Science and 8 passed both. How many students passed at least one subject?
a)
20
b)
27
c)
30
d)
35
70.
In a group of 80 tourists 50 visited Museum A 40 visited Museum B and 25 visited both. How many visited only Museum A?
a)
15
b)
25
c)
30
d)
50
71.
Using the data from the previous question (80 tourists: 50 Museum A 40 Museum B 25 both). How many visited neither Museum A nor Museum B?
a)
10
b)
15
c)
20
d)
25
72.
A survey of 60 people shows that 35 like tea 25 like coffee and 10 like both. How many people like ONLY tea?
a)
10
b)
15
c)
25
d)
35
73.
Using the previous survey data (60 people total; 35 tea; 25 coffee; 10 both). How many people like neither tea nor coffee?
a)
5
b)
10
c)
15
d)
20
74.
In a Venn diagram the number in circle A only is 18 the number in circle B only is 12 and the intersection is 7. How many are in set A in total?
a)
18
b)
25
c)
19
d)
37
75.
Using the same Venn diagram data (A only=18; B only=12; intersection=7). How many are in set A or set B?
a)
25
b)
30
c)
37
d)
44
76.
In a class of 40 students 22 play soccer and 17 play basketball. If 8 students play both sports how many students play only soccer?
a)
8
b)
9
c)
14
d)
22
77.
A two-way table shows that out of 50 students 20 boys prefer action movies and 15 boys prefer comedy. How many boys were surveyed in total?
a)
20
b)
15
c)
35
d)
50
78.
A two-way table shows pet preferences. 30 people own a dog and 40 own a cat. If 12 people own both how many people own only a dog?
a)
12
b)
18
c)
30
d)
42
79.
In a survey of 80 people 45 are male. The table shows 25 males prefer summer and 20 males prefer winter. How many females were surveyed?
a)
20
b)
25
c)
35
d)
45
80.
A table tracks 100 car sales. 50 cars were red and 50 were blue. 30 of the red cars were sedans. 20 of the blue cars were sedans. How many sedans were sold in total?
a)
30
b)
20
c)
50
d)
100
81.
Using the previous car sales data (100 total cars; 50 red; 50 blue; 30 red sedans; 20 blue sedans). What percentage of red cars were sedans?
a)
0.3
b)
0.4
c)
0.5
d)
0.6
82.
A survey of 120 students found 70 liked pizza and 50 liked burgers. 30 students liked both. How many liked ONLY pizza?
a)
30
b)
40
c)
50
d)
70
83.
From the previous survey (120 students; 70 pizza; 50 burgers; 30 both). How many liked neither pizza nor burgers?
a)
10
b)
20
c)
30
d)
40
84.
A two-way table shows 60 adults and 40 children. 35 adults prefer reading. 25 children prefer reading. How many prefer reading in total?
a)
25
b)
35
c)
50
d)
60
85.
Based on the previous two-way table (60 adults 40 children; 35 adults read; 25 children read). How many adults do NOT prefer reading?
a)
25
b)
35
c)
40
d)
60
86.
In a class of 25 students 15 have brown hair and 10 have blue eyes. If 7 students have both brown hair and blue eyes how many have only brown hair?
a)
7
b)
8
c)
10
d)
15
87.
Using the class data (25 students; 15 brown hair; 10 blue eyes; 7 both). How many students have neither brown hair nor blue eyes?
a)
5
b)
7
c)
10
d)
12
88.
A survey of 90 people found 55 owned a bicycle and 45 owned rollerblades. 20 people owned both. How many owned ONLY rollerblades?
a)
20
b)
25
c)
35
d)
45
89.
From the previous survey (90 people; 55 bicycle; 45 rollerblades; 20 both). How many owned neither a bicycle nor rollerblades?
a)
5
b)
10
c)
15
d)
20
90.
A school has 300 students. 180 play sports and 150 play music. 70 students do both. How many students do not play sports or music?
a)
40
b)
50
c)
60
d)
70
91.
In a survey of 100 households 70 have Wi-Fi and 50 have cable TV. 30 households have both. How many households have only Wi-Fi?
a)
30
b)
40
c)
50
d)
70
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