Free Printable Revision Test Grade

1.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

2.

Find n(A) when

A = {14, 16, 18, 20, 22, 24}

a)

6

b)

4

c)

12

d)

even numbers

3.

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}

Determine if these two sets are equal or equivalent.

a)

Not equal because seat has 4 letters and taste has 5 letters.

b)

Equivalent because they have the same letters

c)

Equal because each set has the same cardinality and the same letters.

4.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

5.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

6.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

7.

If

P = {0, 1, 2, 3, 4}, Q = {4, 6, 8}

R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?

a)

{4}

b)

{4, 6}

c)

{4, 6, 8}

d)

{1, 2, 3, 4, 6, 8}

8.

If

P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}

R = {3, 6, 9}, and S = {6, 12, 18}

Then what is (P ∪ Q) ∩ (S ∪ R)?

a)

{6}

b)

{3, 6}

c)

{4, 6}

d)

{1, 2, 3, 4, 5, 6, 7, 9, 12, 18}

9.

If

A = {1, 3, 5, 15},

B = {2, 3, 5, 7}

C = {2, 4, 6, 8}

then what is (A U B) ∩ C ?

a)

{1,3,5}

b)

{1,2,3}

c)

{2,3,5}

d)

{2}

10.

If

U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then W' = . . ..

a)

{1, 3, 13, 15, 17}

b)

{1, 3}

c)

{2, 4, 6, 8, 10, 12, 14, 16}

d)

{1, 3, 5, 7, 9, 11, 13, 15, 17}

11.

From the above Venn diagram, what is the set S ∩ T?

a)

{casey, drew, jade, glen}

b)

{alex, casey, drew,hunter}

c)

{casey, drew}

d)

{drew, jade}

12.

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}

13.

From the above Venn diagram, what is the set S' ? Look at ALL of the Universal set called "U."

a)

{casey, drew}

b)

{blair, erin, francis, glen, jade, ira}

c)

{blair, erin, francis, ira}

d)

{jade, glen, blair, erin, francis, ira}

14.

The image represents which of the following?

a)

intersection, "and"

b)

intersection, "or"

c)

union, "and"

d)

union, "or"

15.

Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A U B

a)

{1, 3, 4}

b)

{1, 2, 3, 4, 6,8}

c)

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

d)

{1, 2, 3, 4, 5, 6, 7}

16.

Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A ∩ B

a)

{1, 3, 4}

b)

{1, 2, 3, 4, 6,8}

c)

{4}

d)

{2, 4}

17.

Which of the following represents the shaded region?

a)

A union B

b)

A intersect B

c)

A ⊂ B

d)

B ⊂ A

18.

For the given sets A and B, which statement is true?

a)

A ⊂ B

b)

B ⊂ A

c)

A = B

d)

A^'= B

19.

Use the Venn diagram to identify the statement that is true.

a)

2 ∈ P ∩ Q

b)

5 ∈ Q

c)

{5,7} ⊆ P

d)

P U Q = Q

20.

List the elements of (A U B)'

a)

{1,4}

b)

{2,3,5,6,7,8,9}

c)

{2,3,6,7,8}

d)

{5,9}

21.

List the elements of B

a)

{4,5,6,7,8,9,10,11}

b)

{4,6,7,8}

c)

{9,5,10,11}

d)

{4,5,6,7,8,9,10}

22.

List the elements of A ∩ B'

a)

{2,3}

b)

{5,9}

c)

{2,3,6,7,8}

d)

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

23.

If U = {2,3,5,7,11,13} and C = {2,3,5}, find C'

a)

{7,11,13}

b)

{7,9,11,13}

c)

{2,3,5}

d)

U

24.

Set Q contains the letters in the word SISTER .
Which of the following is set Q ?

a)

Q = { S, T, R }

b)

Q = { I, E }

c)

Q = { S, I, S, T, E, R }

d)

Q = { S, I, T, E, R }

25.

Given that
R = { factors of 36 }.
n(R) =

a)

6

b)

9

c)

12

d)

15

26.

Given S = { m, 4, 7, 9 } and
T = { 4, 9, 3, n }.
If set S and set T are equal sets,
the value of m + n =

a)

14

b)

12

c)

10

d)

8

27.

Given that
set V = { m, n, o, p },
find the number of subsets V.

a)

16

b)

12

c)

10

d)

8

28.

You sell T-shirts. If they cost you Rs 2.00 each and can sell them for Rs 10.00, how much PROFIT can you make if you sell 10 T-shirts?

a)

80.00

b)

20.00

c)

50.00

d)

10.00

29.

Lacy makes necklaces to sell to her classmates and friends. She spends $2 on materials for each necklace. She makes bracelets as well that cost her $4 in materials for each bracelet. She sells each necklace for $10. How much profit will she make if she sells 5 necklaces?

a)

$24

b)

$40

c)

$16

d)

$52

30.

If an object is bought for $90 and then sold for a loss of 15%. How much was it sold for?

a)

$103.50

b)

$80

c)

75

d)

$76.50

31.

What is the percentage profit if a shopkeeper buys in a football for $12 and sells it for $15?

a)

80%

b)

25%

c)

20%

d)

50%

32.

A computer has been discounted by 32%. The original cost was $900. What is the new price?

a)

$1188

b)

$288

c)

$612

d)

$600

33.

Reynold bought an almirah for Rs.6250 and spent Rs.375 on its repairs. He, then, sold it for Rs.6890.Find his gain or loss percent.

a)

Gain, 4%

b)

Gain,10.24%

c)

Loss, 4%

d)

Loss,10.24%

34.

A vendor bought bananas at 6 for a rupee. How many for a rupee must he sell to gain 20%?

a)

5

b)

6

c)

3

d)

4

35.

Percentage of discount =

a)

$\frac{Discount}{CP}\times100\ \%$

b)

$\frac{Discount}{SP}\times100\ \%$

c)

$\frac{Discount}{MP}\times100\ \%$

d)

none of the above

36.

Find the marked price when:

Discount = 15% and SP= Rs. 1020

a)

Rs. 1173

b)

Rs. 1200

c)

Rs. 1210

d)

Rs. 867

37.

The shopkeeper marked price of an article 20% above the cost price and allowed discount of 10%. What would be the profit or loss percent?

a)

10% profit

b)

8% profit

c)

10 % loss

d)

8% loss

38.

A shopkeeper marked the price of an article and allowed discount of 10%. By this way price of the article is reduced by Rs 150. What will be the price after discount?

a)

Rs 1500

b)

Rs 1350

c)

Rs 1200

d)

Rs 1000

39.

Factor
4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

40.

Factor
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

41.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

42.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

43.

Factor
2x² - 13x - 70

a)

(2x-7)(x+10)

b)

(7x+5)(x+2)

c)

(2x+7)(x-10)

d)

2(x+7)(x+10)

44.

Factor by grouping
x³ - 4x² -4x + 16

a)

(x+4)(x+2)

b)

(x-4)(x² -4)

c)

(x+4)(x² -4)

d)

(x-4)(x-2)

45.

Factor by grouping:
5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

46.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

47.

factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

48.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

49.

Factor:
2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n²)

c)

2n³(10-8n²)

d)

3n(1-4n)

50.

Factor completely: 3x² - 7x + 2

a)

(x - 1) (3x + 2)

b)

(x - 2) (3x -1)

c)

(x - 1) (3x - 2)

d)

(x + 2) (3x + 1)

51.

Factor Completely: 3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

52.

Expand 6(3+w).

a)

18+w

b)

6+3w

c)

18+3w

d)

18+6w

53.

Expand (y+1)(y-2).

a)

y²-2y-2

b)

y²-y-2

c)

y²+y-2

d)

y²+2y-2

54.

(2p+3)²

a)

4p²+12p+9

b)

4p²+6p+9

c)

4p²+6p+6

d)

4p²+12p+6

55.

Simplify 8x-2-5x+4.

a)

3x+2

b)

3x-2

c)

6x-1

d)

3x-7

56.

Simplify 3(y-2)+10.

a)

3y-4

b)

3y-6

c)

3y+10

d)

3y+4

57.

Simplify a(2-b)+a.

a)

2a² - ab

b)

2a - ab

c)

3a - ab

d)

3a - 2b

58.

Determine the area for the diagrams below using algebraic expressions

a)

10x² - 11x - 6

b)

7x² - 11x - 6

c)

10x² - 19x - 6

d)

10x² + 11x - 6

59.

What is the Highest Common Factor (HCF) for 12m, 4mn?

a)

2m

b)

4m

c)

12m

d)

4mn

60.

What is the correct law for multiplication? a^m x aⁿ=

a)

a^m+n

b)

a^m + aⁿ

c)

a^mxn

d)

a^mⁿ

61.

What is the correct law for division? a^m ÷ aⁿ =

a)

a^m-n

b)

a^m - aⁿ

c)

a^m÷n

d)

a^m/n

62.

What is the correct law for powers of powers? (a^m)ⁿ =

a)

a^mxn

b)

a^m+n

c)

a^m x aⁿ

d)

a^men

63.

Simplify: 3⁵ x 3⁷

a)

3¹²

b)

9¹²

c)

3³⁵

d)

9³⁵

64.

Simplify: 2⁸ ÷ 2²

a)

2⁶

b)

2⁴

c)

2¹⁰

d)

1

65.

Simplify: b¹⁷ x b⁵

a)

b²²

b)

b⁸⁵

c)

(b²)²²

d)

b¹²

66.

Simplify: w²⁴ ÷ w⁸

a)

w¹⁶

b)

w³

c)

w³²

d)

w^24/8

67.

Simplify: f⁰

a)

1

b)

f

c)

f¹

d)

0

68.

Simplify: (3x²y³)⁰

a)

1

b)

0

c)

3x²y³

d)

3

69.

Simplify: 3x³ × 6x⁸

a)

18x¹¹

b)

18x²⁴

c)

9x¹¹

d)

9x²⁴

70.

Simplify: (y⁷)²

a)

y¹⁴

b)

y⁴⁹

c)

y⁵

d)

y⁹

71.

Simplify: (3h²)³

a)

27h⁶

b)

27h⁵

c)

9h⁶

d)

9h⁵

72.

Simplify: (3a²b)² × (2ab)³

a)

72a⁷b⁵

b)

6a⁷b⁵

c)

36a⁵b⁴

d)

18a⁴b²

73.

Simplify: (4pq³)² ÷ (2p²q)³

a)

2p^-4q³

b)

8p⁴q³

c)

16p⁴q²

d)

4p^-4q²

74.

$7^2\times7^3=$

a)

$7^5$

b)

$7^6$

c)

$14\times21$

d)

$49^{2\times3}$

75.

$\frac{x^4}{x}=$

a)

$\left(x\div1\right)^4$

b)

$x^{\left(4\div1\right)}$

c)

$x^{\left(4-0\right)}$

d)

$x^{\left(4-1\right)}$

76.

$\frac{x^4}{y^4}=$

a)

$\left(\frac{x}{y}\right)^4$

b)

$\left(x-y\right)^4$

c)

$\left(\frac{x}{y}\right)^{\left(4-4\right)}$

d)

$x^4-y^4$

77.

$2^0-3^0=$

a)

$2-3$

b)

$1-0$

c)

$1-1$

d)

$\left(2-3\right)^0$

78.

$2^{-3}=$

a)

$-8$

b)

$-6$

c)

$\frac{1}{8}$

d)

$2^{\frac{1}{3}}$

79.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

right scalene

c)

acute scalene

d)

obtuse scalene

80.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

equiangular scalene

c)

equiangular isosceles

d)

equiangular equilateral

81.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

obtuse scalene

c)

obtuse isosceles

d)

acute scalene

82.

Which would be the best classification for the triangle shown?

a)

right isosceles

b)

obtuse scalene

c)

obtuse isosceles

d)

right scalene

83.

Which would be the best classification for the triangle shown?

a)

right isosceles

b)

obtuse scalene

c)

obtuse isosceles

d)

acute scalene

84.

What is the value of the missing angle?

a)

61

b)

50

c)

60

d)

69

85.

What is the value of x?

a)

60

b)

5

c)

10

d)

-3

86.

What is the value of x?

a)

10

b)

5

c)

-12

d)

9

87.

What is the value of x?

a)

75

b)

80

c)

63

d)

60

88.

What is the value of x?

a)

30

b)

45

c)

47

d)

50

89.

.
.
.
.
What is the name of this kind of triangle?

a)

Right

b)

Isosceles

c)

Scalene

d)

Equilateral

90.

Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches

a)

Yes

b)

No

91.

Which of the following does not represent the lengths of the sides of a triangle?

a)

2 cm, 6 cm, 7 cm

b)

5 cm, 2 cm, 5 cm

c)

5 cm, 5 cm, 8 cm

d)

3 cm, 10 cm, 15 cm

92.

A polygon with three sides.

a)

square

b)

oval

c)

quadrilateral

d)

triangle

93.

A polygon with eight sides.

a)

hexagon

b)

pentagon

c)

quadrilateral

d)

octagon

94.

What type of angle is this?

a)

obtuse

b)

acute

c)

right

d)

cute

95.

Polygon or non-polygon?

a)

Polygon

b)

Non-Polygon

96.

Polygon or Non-Polygon?

a)

Polygon

b)

Non-Polygon

97.

What is a polgygon?

a)

An open shape with straight sides.

b)

A closed shape with curved sides.

c)

A closed shape with straight sides.

d)

A closed shape with straight and curved sides.

98.

What is a protractor ?

a)

A thing

b)

A shared end point of the sides of an angle

c)

A tool used to measure an angle

d)

Angle with a measure

99.

What is a vertex?

a)

Angle with a measure between 90º and 180º

b)

A statement that can be accepted without proof

c)

A statement that can be proven and that can also be used in later proof

d)

The shared end point of the sides of an angle

100.

What is a theorem?

a)

A statement that can be accepted without proof

b)

A statement that can be proven and that can also be used in later proof

c)

all of the above

d)

other

Revision Test Grade - IX

Total questions: 100

Worksheet time: 4hrs 42mins

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