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Awesome Grade 7 Battle Royale

Total questions: 134

Worksheet time: 4hrs 19mins

Name
Class
Date
1.
The area of a rhombus whose diagonals are 9 cm and 7 cm is ______
a)
16 cm2
b)
63 cm2
c)
63 cm2
d)
16 cm2
2.
The side of a cube whose surface area is 600 cm2 is____
a)
10 cm
b)
10 cm2
c)
60 cm
d)
6 cm
3.
If the base of the triangle is doubled and height is halved, its area will be _____
a)
Doubled
b)
Halved
c)
one-fourth
d)
Same
4.
Two cubes with 9 cm edge are joined end to end. Find the length of the newly formed solid.
a)
18 cm
b)
9 cm
c)
27 cm
d)
None of the above
5.
If the edge of a cube is doubled how many times will its surface area will increase?
a)
4 times
b)
3 times
c)
2 times
d)
6 times
6.
a)
80 cm2
b)
160 cm2
c)
80 cm
d)
160 cm
7.
1 km2 is equivalent to ______ m2
a)
104 m2
b)
106 m2
c)
105 m2
d)
103 m2
8.
a)
75 cm2
b)
35 cm2
c)
105 cm2
d)
Data not sufficient
9.
a)
100 cm2
b)
50 cm2
c)
20 cm2
d)
200 cm2
10.
what is the formula of a perimeter of square ?
a)
sides x 5
b)
length x breadth
c)
sides x 4
d)
base x height
11.
mensuration means what?
a)
a type of maths that deals with pictographs bar garphs and pie charts
b)
a type of science that deals with plants
c)
a type of maths that deals with equations variable and constant
d)
a type of maths that deals with areas and volumes in the field of geometry
12.
A square has a side length of 6 cm. If the square is cut along one of its diagonals, what will be the area of one of the resulting triangles?
a)
36 cm2
b)
18 cm
c)
18 cm2
d)
72 cm2
13.
How many square centimetres are there in
1 m2?
a)
1000
b)
100
c)
10,000
d)
10
14.
Becky bought a cheese log at the grocery store that is 15 cm long and has a diameter of 6 cm. Find the volume of the cheese log.
a)
75 cm^3
b)
233 cm^3
c)
not enough information is given
d)
424.12cm^3
15.
Mike's Restaurant has an aquarium that is 2 ft wide, 10 ft long, and 4 ft high. What is the volume of the aquarium?
a)
16 ft^3
b)
not enough information is given
c)
80 ft^3
d)
160 ft^3
16.
What is the area of this shape?
a)
12 cm^2
b)
16 cm^2
c)
24 cm^2
17.
What is the area of this parallelogram?
a)
22 cm^2
b)
26 cm^2
c)
32 cm^2
d)
40 cm^2
18.
Which is these answers is the nearest value to the circumference of this circle?
a)
38cm
b)
75cm
c)
113cm
19.
The area of a rhombus whose diagonals are 9 cm and 7 cm is ______
a)
16 cm2
b)
63 cm2
c)
63 cm2
d)
16 cm2
20.
The side of a cube whose surface area is 600 cm2 is____
a)
10 cm
b)
10 cm2
c)
60 cm
d)
6 cm
21.
If the base of the triangle is doubled and height is halved, its area will be _____
a)
Doubled
b)
Halved
c)
one-fourth
d)
Same
22.
The perimeter of a regular pentagon is 100 cm.  The length of each of its sides is _____________
a)
20 cm
b)
10 cm
c)
25 cm
d)
15 cm
23.
The side of a square whose perimeter is 64 cm is __________
a)
32 cm
b)
8 cm
c)
16 cm
d)
12 cm
24.
What is the perimeter of an equilateral triangles whose side is 25 cm?
a)
50 cm
b)
100 cm
c)
75 cm
d)
125 cm
25.
What is the formula for finding the TSA of a cylinder
a)
2πr(h+r)
b)
πd
c)
2πrh
d)
πr2
26.
Mike's Restaurant has an aquarium that is 2 ft wide, 10 ft long, and 4 ft high. What is the volume of the aquarium?
a)
16 ft^3
b)
not enough information is given
c)
80 ft^3
d)
160 ft^3
27.

Show you work using the incremental or ten's and one's strategy to solve the following problem:


563+89

a)

672

b)

652

c)

762

d)

592

28.

Show you work using the incremental or ten's and one's strategy to solve the following problem:


82.52-72.41

a)

10.25

b)

15

c)

12.10

d)

17.11

29.

Show you work using the area technique to solve the following problem:


643 ÷ 30

a)

21 2/30

b)

21 13/30

c)

23 1/30

d)

25

30.

Solve the following problem using the correct order of operations:


1 + 8(2) -12÷4

a)

17

b)

22

c)

8

d)

14

31.

Create a visual and solve: There are five busses and 135 students going on a field trip. Each bus can hold 25 students, the rest need to ride in cars. How many students will ride in the cars?

a)

20 Students

b)

12 students

c)

0 students

d)

10 students

32.

At a birthday party, 1/3 of the people eat meat. Of that third, 1/2 of them eat beef. What fraction of the total party goers eat beef?

a)

1/2 "One half"

b)

1/4 "One forth"

c)

1/3 "One third"

d)

1/6 "One sixth"

33.

What is the prime factorization of 600?

a)

6x102

b)

60x10

c)

2x3x102

d)

102 x 60

34.

Which fraction is equivalent to 5/6?

a)

10/18

b)

25/30

c)

35/36

d)

50/65

35.
Order 3π, √ 10 , and 3.25 from greatest to least.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
36.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
37.

Simplify, if possible.

12 ⅜ - 9 ⅝ =

a)

2 6/8

b)

3 6/8

c)

2 ⅜

d)

3 2/8

38.

Ms. Patel cut 3 2/4 inches of wood off of a board that was originally 7 3/4 inches long. How long was the board after she made the cut?

a)

11 1/4 inches

b)

10 5/4 inches

c)

4 1/4 inches

d)

4 2/4 inches

39.
4 x 1/6=
a)
6/4
b)
4/6
c)
4/24
d)
1/24
40.
There are two pizzas on the table.  There is 3/4 of the pepperoni pizza left.  There is 5/8 of the cheese pizza left.  Which pizza has more left?
a)
pepperoni pizza
b)
cheese pizza
c)
equal amounts left
d)
sausage pizza
41.

4/10 + 40/100=

a)

44/100

b)

80/100

c)

44/10

d)

Catdog

42.

How is .56 written as a fraction?

a)

56/10

b)

56/56

c)

5/10

d)

56/100

43.

1256 - 1088

a)

68

b)

168

c)

268

d)

232

44.

How would you solve the following problem?


A cleaning lady charges $120 for 3 hours of cleaning. How much does it cost per hour?

a)

addition

b)

subtraction

c)

multiplication

d)

division

45.

33

a)

81

b)

27

c)

9

d)

6

46.

How would you solve the following problem? You buy 4 apples and 3 bananas at the store. Each apple cost $0.68 and each banana cost $0.80. What was your total?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

47.

82

a)

16

b)

88

c)

82

d)

64

48.

Is 65 a perfect square?

a)

Yes

b)

No

49.

Is 256 a perfect square?

a)

Yes

b)

No

50.

24 - 3(4+3)

a)

0

b)

3

c)

-3

d)

147

51.

43 + 6(12-6)

a)

28

b)

24

c)

36

d)

64

52.

You buy 2 books, 3 DVD's, 2 Gift Cards. What is your total cost?


Books - $8

DVD - $14

Gift Card - $5

a)

58

b)

54

c)

48

d)

68

53.

Prime factorization of 48

a)

23 x 3

b)

24 x 32

c)

24 x 3

d)

23 x 32

54.

Find the GCF of 30 and 75

a)

5

b)

10

c)

25

d)

15

55.

Find the LCM of 8 and 10

a)

80

b)

40

c)

120

d)

180

56.
Which of the following is a rational number but is NOT an integer?
a)
8
b)
24
c)
40/4
d)
6.2
57.
Barbara was asked to create a set of numbers that contained only integers. Which of the sets does NOT contain only integers?
a)
{11, 6, -3,-4, 600, 24/12}
b)
{9, 100, -4, 12, -6, 20/5}
c)
{5, 3,-8, -14, 3.5, 24/12}
d)
{22, 12.0, 9, -14, 28, 4}
58.
Which statement is NOt true integers?
a)
All integers are rational numbers.
b)
If two integers are added, the sum is always an integer.
c)
If two integers are subtracted, the difference is always an  integer.
d)
If two integers are divided, the quotient is always an integer.
59.
Rational numbers are a dense set. This means that between 2.46 and 2.47 on a number line?
a)
2.48
b)
2.4
c)
2.53
d)
2.468
60.
Golf scores are often given as a comparison to the number of strokes the player had to the number of strokes for par score for that course. Which subset of rational numbers best describes the golf scores shown for the players in a golf tournament?
a)
Whole numbers
b)
Integers
c)
Negative integers
d)
repeating decimals
61.
Which subset of rational numbers best describes number of coins in a jar?
a)
Whole numbers
b)
Integers
c)
Negative integers
d)
Repeating decimals
62.
Which statement is NOT true about rational numbers?
a)
The sum of two rational numbers is also a rational number.
b)
0 is not a rational number.
c)
The product of two rational numbers is also a rational number.
d)
The opposite of a rational number is also a rational number.
63.
If a = 4 & b = 6, what is 3a + 5b?
a)
40
b)
42
c)
44
d)
46
64.
If x=5,find the value of 7x-1
a)
34
b)
36
c)
35
65.
If y=4,find the value of 3y+5
a)
27
b)
12
c)
17
66.
If y=7,find the value of 2(y+4)
a)
11
b)
22
c)
20
67.
If a=6 and b= 7,find the value of 15-a-b
a)
2
b)
3
c)
4
68.
If a=4,b=5 and c=6,find 2c-a-b
a)
4
b)
3
c)
6
69.
When x = 3, y = 6 and z = 7, find 2x - z
a)
-1
b)
-2
c)
-3
d)
-4
70.
If x=5,find the value of 7x-1
a)
34
b)
36
c)
35
71.
If y=4,find the value of 3y+5
a)
27
b)
12
c)
17
72.
If y=7,find the value of 2(y+4)
a)
11
b)
22
c)
20
73.
If p=3 and q=5,find 
p +q+2
a)
12
b)
10
c)
8
74.
If a=6 and b= 7,find the value of 15-a-b
a)
2
b)
3
c)
4
75.
If a=2,b=3,c=4 and d=5,find a+b+c+d
a)
14
b)
12
c)
15
76.
If a=2,b=3,c=4 and d=5,find a+b+c+d
a)
14
b)
12
c)
15
77.
Evaluate u + xy, for u = 18 , x = 10 , and y = 8.
a)
188
b)
36
c)
98
d)
224
78.
If x = 5, y = 3 & z = 2, what is x + 2y + 3z
a)
15
b)
16
c)
17
d)
18
79.
If s = 3 & t = 9, what is 2t - 3s?
a)
8
b)
9
c)
10
d)
11
80.
If x = 5 & y = 3 what is 3x + 5y?
a)
28
b)
30
c)
32
d)
34
81.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
82.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
83.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
84.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
85.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
86.
16+9n+6
a)
22+9n
b)
32+9n
c)
10+9n
87.
5n + 11n
a)
16n
b)
55n
c)
6n
88.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
89.
Simplify 14(b – 10).
a)
4b
b)
b – 140
c)
14b – 140
d)
14b – 10
90.
2(3v - 8) 
a)
6v-16
b)
6v-8
c)
6v-6
d)
6v+8
91.
A number with no variable attached is called a  _____.
a)
coefficient
b)
constant
c)
variable
d)
term
92.
What is the constant in the following expression?
8y + 5 - 35p
a)
8
b)
35p
c)
5
d)
8y
93.
Solve for x:
2x + 5 = 12
a)
7
b)
3
c)
3.5
d)
8.5
94.
Solve for x: 
4x + 1 = 7x - 5
a)
-1
b)
2
c)
6/11
d)
8
95.
Solve for x: 
2 - 4x = 3x - 12
a)
2
b)
-14
c)
10
d)
-2
96.
Solve for x:
6(2x + 1) = 18
a)
3
b)
17/12
c)
1
d)
2
97.
Solve for x:
2(3x + 4) + 2 = 4 + 3x
a)
2
b)
-2/3
c)
10
d)
-2
98.
Solve for x:
10 = 3x -12
a)
22/3
b)
2/3
c)
10/9
d)
8
99.
Solve for x: 
7x + 5 + x - 3 + x = 5
a)
1/3
b)
3
c)
3/7
d)
1
100.
Solve for x:
7 - 5x = 12
a)
1
b)
-6
c)
-1
d)
6
101.
Solve for x:
7 - 2(10x + 1) = 25
a)
2/5
b)
2
c)
1
d)
-1
102.
Solve for x:
8x + 2 + 3x + 5 = x + 12
a)
-1/2
b)
2
c)
-2
d)
1/2
103.
Solve for x:
12 = 20x - 18
a)
1
b)
-2
c)
-1
d)
2
104.
Solve for x:
5 + 3x = 8x - 15
a)
10
b)
4
c)
2
d)
20/11
105.
Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)
a)
3
b)
-3
c)
-5
d)
5
106.

Yaya Cun has a rectangular plot of land. She plants orchid and rears fish in the areas as shown on diagram above. The area used for planting orchid is 460 m2 and the perimeter of the rectangular fish pond is 48 m. Find the value of x and y.

a)

x=20

b)

Non of them

c)

16

d)

20

e)

y=16

107.

Ipe has 100 syampoo brand 'AQISH' and 200 syampoo brand 'AISO'. The total value is $420. If he sells 50 syampoo brand 'AQISH' and buys 60 syampoo brand 'AISO' the value is now $402. Find the price of each syampoo .

(A= Syampoo brand 'AQISH' B=Syampoo brand 'AISO')

a)

A = $2, B = $1

b)

A = $1, B = $2

c)

A = $1.20, B = $1.80

d)

A = $1.80, B = $1.20

108.

The selling price of Brand 'Burn' smart phone is $1650 less than that of Brand 'Ipang' smart phone. If Sam paid $9350 to buy a Brand 'Burn' smart phone and a Brand 'Ipang' smart phone. How much does he need to pay if he needs to buy two Brand 'Burn' smart phones and three Brand 'Ipang' smart phones?

a)

22550

b)

24200

c)

5500

d)

3850

109.

The total selling price of 4 sets of salad and 5 bottles of lemon tea is $123, while the total selling price of 6 sets of salad and 8 bottles of lemon tea is $188. Find the selling price of1 bottle of lemon tea.

a)

7.0

b)

22.0

c)

29.0

d)

18.0

110.
There are 780 students in a school. The number of boys is less than that of girls by 32. Find the number of girls.
a)
406
b)
374
c)
390
d)
418
111.
In the Hong Kong Football League, the total number of teams in the first and second divisions is 23. The first division has 3 more teams than the second division. Find the number of teams in the first division.
a)
15
b)
10
c)
13
d)
20
112.

Solve the equation .

a)

x=3 , y= -4

b)

x=3 , y=3

c)

x= -1/2 , y= -4

d)

x=-1/2 , y=3

e)

Ceq tak tau la

113.

Daud had brochures printed for a new business venture. Daud originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Daud spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which equation represents this situation?

a)

x+y=134

x+y=120

b)

3x+3y=134

4x+3y=120

c)

4x+3y=134

3x+3y=120

d)

7xy=134

6xy=120

114.
4x + y   = -1
4x  - 3y =  7
a)
x = 1    y = 2
b)
x = 0.5     y = 3
c)
x = 0.25    y = -2
d)
x = 2     y = -4
115.
6x + 2y = -3
4x - 3y  = 11
a)
x = 2   y = -2
b)
x = 1.5   y = -6
c)
x = 0.5    y =  -3
d)
x = 1   y = 4
116.

Write an equation. Putri Qis buys 8 packs of markers. Each pack contains the same number of markers. Putri Qis gave 10 markers to her brother. Then, she has 54 markers left.

a)

8 - 10 = 54

b)

8p - 10 = 54

c)

8p + 10 = 54

d)

54 + 8p = 10

117.
Solve the Simultaneous Equations: x+y=5; x-y=1
a)
x=2, y=3
b)
x=3, y=2
c)
x=3, y=-2
d)
x=-3, y=2
118.
What do you say when you want candy?
a)
Give me candy
b)
Please
c)
Trick or Treat
d)
I want candy
119.
Solve the Simultaneous Equations: x+y=5; x-y=1
a)
x=2, y=3
b)
x=3, y=2
c)
x=3, y=-2
d)
x=-3, y=2
120.
Solve the Simultaneous Equations: x+y=5; x-y=1
a)
x=2, y=3
b)
x=3, y=2
c)
x=3, y=-2
d)
x=-3, y=2
121.
Solve the Simultaneous Equations: a+b=11; a-b=3
a)
a=7, b = 4
b)
a=-4, b= 7
c)
a=4, b = 7
d)
a=4, b= -7
122.
Solve the Simultaneous Equations: a+b= 3; a-b= -7
a)
a=-2, b = 5
b)
a=2, b = -5
c)
a=2, b = 5
d)
a=-2, b = -5
123.
Solve the Simultaneous Equations: 2a+b=11; a+b=8
a)
a=-3, b=5
b)
a=3, b=-5
c)
a=3, b=5
d)
a=-3, b=-5
124.
Solve x2+9x+20=0
a)
x= 5 or x=4
b)
x=-5 or x=-4
c)
x= -5 or x=4
d)
x= 5 or x=-4
125.
Solve x2+17x+70=0
a)
x=7 or x=10
b)
x=7 or x=-10
c)
x=-7 or x=10
d)
x=-7 or x=-10
126.

What is the Point Of Intersection shown?

a)

2

b)

x = 2, y = 2

c)

the lines do not intersect

d)

(2, 2)

127.

What is the gradient of the blue line?

a)

2

b)

-2

c)

(-1, 2)

d)

x = -1

128.

What is the y-intercept of the purple line?

a)

(-1, 2)

b)

-3

c)

1

d)

(0, -1)

129.

How many guests are required to attend in order to brea-even?

a)

240

b)

20

c)

0

d)

(20, 240)

130.

When do a pair of simultaneous equations have NO solution?

a)

When the lines are perpendicular

b)

When the lines have the same y-intercept

c)

When one line has an undefined gradient

d)

When the lines have the same gradient

131.

Solve:

y = x + 5

y = 5x − 3

a)

x = 7

y = 2

b)

x = 2

y = 7

c)

x = -2

y = -3

d)

x = 0.5

y = 5.5

132.

Solve:

5x + 3y = 18

y = 5 − x

a)

x = 0.75

y = 4.25

b)

x = 2.5

y = 2.5

c)

x = 0

y = 5

d)

x = 1.5

y = 3.5

133.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5 
134.
- 2k > 18
a)
k is greater than 20
b)
k is less than negative 9
c)
k is greater than negative 9
d)
k is less than 36 

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