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Maths Vista Grade - 8 Round 2

Total questions: 25

Worksheet time: 26mins

Name
Class
Date
1.

What will be the area of a rectangle if its length is 4a2b and breadth 3ab?

a)

12a2b

b)

12a3b

c)

7a3b

d)

12a3b2

2.
The expression (l + m) (2m + p) − 2m (p + m) can be simplified as
a)
2lm + lp
b)
2lm + lp − 2mp 
c)
2lm + lp + mp 
d)
2lm + lp − mp 
3.
What is the product of (x2 − y2) and (3x + 2y)?
a)
3x3 − 2y3 + 3x2y + 3xy2
b)
3x3 + 2y3 - 2x2y − 3xy2
c)
3x3 − 2y3 + 2x2y − 3xy2
d)
3x3 − 3y3 + 2x2y − 3xy2
4.
Which of the following expressions is equivalent to the expression 945 × 855?
a)
9002 − 452
b)
9002 + 452
c)
9002 + (45 + 55) 900 + (45 × 55)
d)
8002 + (45 + 55) 800 + 45 × 55
5.

Find the product of (2x - 3y)(2x + 3y) using suitable identity.

a)

4x2 + 4xy - 15xy

b)

4x2 - 9y2

c)

4x2 + 9y2

d)

4x2 - 6xy - 15xy

6.

The square of  x22y2x^2-2y^2  is ______

a)

 x44x2y2+4y4x^4-4x^2y^2+4y^4  

b)

 x4+4x2y2+4y4x^4+4x^2y^2+4y^4 

c)

 x44x2y24y4x^4-4x^2y^2-4y^4  

d)

 x44y4x^4-4y^4  

7.

Expand (3x + 5)2

a)

9x2 + 30x + 25

b)

9x2 − 30x − 25

c)

3x2 − 15x − 25

d)

3x2 + 30x + 25

8.
Add (a - b - c) ; (b - a - c) and (c - a - b)
a)
(a - b - c)
b)
(- a - b - c)
c)
(a + b - c)
d)
(-a - b + c)
9.

For a dinner party, Khoi is creating individual servings of starters. She has 9 carrot sticks and 18 celery sticks. If she wants each sering to be identical, with no food left over, what is the greatest number of servings Khoi can create?

a)

GCF= 36

b)

GCF= 18

c)

GCF= 27

d)

GCF= 9

10.

Classify the following number:

0

a)

Rational, Integer

b)

Rational

c)

Rational, Integer, Whole

d)

Rational, Integer, Whole, Natural

11.

Which of the following is irrational?

a)

Square root of 81

b)

Square root of 9

c)

Square root of 144

d)

Square root of 12

12.
Explain the error(s).
a)
-1.2 isn't an integer.
b)
-2 isn't a whole number and 3.4 isn't a rational number.
c)
-2 isn't a whole number and -1.2 isn't an integer.
d)
The numbers are graphed correctly.
13.
A die is rolled once.  What is the probability of rolling a number less than 5? Your answer should be a fraction in simplest form.
a)
4/6
b)
2/3
c)
5/6
d)
1/6
14.

A die is rolled once. What is the probability of rolling NOT a 2? Your answer should be a fraction in simplest form.

a)

4/6

b)

1/6

c)

1/5

d)

5/6

15.
A die is rolled once.  What is the probability of rolling NOT a 3 or a 4? Your answer should be a fraction in simplest form.
a)
2/3
b)
4/6
c)
3/6
d)
1/6
16.

Amanda spins a spinner numbered 1 to 10. What is the probability that the spinner lands on an odd number or a number that is divisible by 3?

a)

45\frac{4}{5}

b)

35\frac{3}{5}

c)

15\frac{1}{5}

d)

320\frac{3}{20}

17.

How many outfits are possible with five pairs of jeans, eight t-shirts, and two pairs of shoes?

a)

15

b)

40

c)

80

d)

10

18.

P(not chow mein)

a)

78\frac{7}{8}

b)

18\frac{1}{8}

c)

27\frac{2}{7}

d)

56\frac{5}{6}

19.

{1,3,5} ⊄ {1,2,3,4}

a)

True

b)

False

20.

U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }, B = { 2, 5, 6 ,8, 9 }, Find B'

a)

{ 1, 3, 4, 10 }

b)

{ 2, 5, 6, 8, 9 }

c)

{ 1, 3, 4, 7, 10 }

d)

{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }

21.
From the above Venn diagram, what is the set (S ∪  T) ∩ V?
a)
{casey, drew, jade, glen}
b)
{alex, glen, hunter, jade}
c)
{casey, drew, glen}
d)
{drew, jade}
22.
a)
24 cubic units
b)
28 cubic units
c)
12 cubic units
d)
20 cubic units
23.

A Prism has a volume of 400 cubic cm and a base area of 25 square cm. What is the height of the prism?

a)

10,000 cm

b)

5,000 cm

c)

8 cm

d)

16 cm

24.
What is the area of the shaded region?
a)
14 m2
b)
120 m2
c)
106 m2
d)
134 m2
25.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm