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Worksheets

Math Topics (Consumer Arithmetic, Shapes)

Total questions: 108

Worksheet time: 55mins

Name
Class
Date
1.

How do you calculate sales tax/profit

a)

Cost Price - Selling Price

b)

Selling Price - Cost Price

c)

Profit/Tax% x Cost Price

2.

How do you calculate Discount/Loss?

a)

Cost Price - Selling Price

b)

Selling Price - Cost Price

c)

Loss/Discount% x Cost Price

3.

How do you calculate the Loss/Discount%?

a)

Loss/Cost Price x 100

b)

Loss/Selling Price x 100

4.

How do you calculate the Profit/Tax%?

a)

Profit/Cost Price x 100

b)

Profit/Selling Price x 100

5.

How do you calculate the Selling Price?

a)

Cost Price + Profit

b)

Cost Price + Loss

6.

How do you calculate the Cost Price?

a)

Selling Price - Profit

b)

Selling Price - Loss

7.

How do you calculate the Hire Purchase Price?

a)

Deposit + Total Monthly payments

b)

Deposit - Total Monthly Payments

8.

How do you calculate the Savings?

a)

Total Hire Purchase Price - Cash Price

b)

Total Hire Purchase Price - Cost Price

9.

How do you calculate the Loan Amount?

a)

Cash Price - Discount

b)

Cash Price - Deposit

10.

How do you calculate the Down Payment/Deposit?

a)

x% of Cash Price

b)

Cash Price - Loan

11.

How do you calculate the Total Monthly Payments?

a)

Monthly installments x # of months

b)

Monthly Installments x # of years

12.

How do you calculate the Extra Cost?

a)

Hire Purchase Price - Cash Price

b)

Hire Purchase Price - Deposit

13.

How do you calculate the Extra Cost%?

a)

Extra Cost/Cash Price x 100

b)

Extra Cost/Profit x 100

14.

How do you calculate the Simple Interest?

a)

PRT/100

b)

100/PRT

15.

How do you calculate the Total Repayment?

a)

Principal - Interest

b)

Principal + Interest

16.

How do you calculate the Commission?

a)

x% of value of product sold

b)

x

17.

How do you calculate the Surface Area of a Cube?

a)

6a2

b)

a3

18.

How do you calculate the Surface Area of a Cuboid/Rectangular Prism?

a)

2(lw + wh + lh)

b)

l x w x h

19.

How do you calculate the Surface Area of a Cone?

a)

πr(r+l)

b)

1/3 x π x r2 x h

20.

How do you calculate the Surface Area of a Cylinder?

a)

2πr(r+h)

b)

πr2h

21.

How do you calculate the Surface Area of a Square-based Pyramid?

a)

1/2 × base perimeter × slant height × area of base

b)

1/3 × area of base x h

22.

How do you calculate the Surface Area of a Sphere?

a)

4πr2

b)

4/3πr3

23.

How do you calculate the Surface Area of a Triangular Prism?

a)

bh (s1+s2+ s3) × slant height

b)

1/2x bh x slant height

24.

How do you calculate the Volume of a Cube?

a)

a3

b)

a2

25.

How do you calculate the Volume of a Cuboid/Rectangular Prism?

a)

l x w x h

b)

l x w

26.

How do you calculate the Volume of a Cone?

a)

1/3 πr2h

b)

πr2h

27.

How do you calculate the Volume of a Cylinder?

a)

πr2h

b)

πrh

28.

How do you calculate the Volume of a Square-based Pyramid?

a)

1/3 x area of base x h

b)

1/2 x area of base x h

29.

How do you calculate the Volume of a Sphere?

a)

4/3 x πr3

b)

4/3 x πr2

30.

How do you calculate the Volume of a Triangular Prism?

a)

1/2 x bh x slant height

b)

1/3 x bh x slant height

31.

What's the measure of degrees for North?

a)

0

b)

360 or 0

32.

What's the measure of degrees for North East?

a)

45

b)

22.5

33.

What's the measure of degrees for East?

a)

90

b)

45

34.

What's the measure of degrees for South East?

a)

135

b)

120

35.

What's the measure of degrees for South?

a)

180

b)

90

36.

What's the measure of degrees for South West?

a)

225

b)

180

37.

What's the measure of degrees for West?

a)

270

b)

225

38.

What's the measure of degrees for North West?

a)

315

b)

225

39.

How do you calculate the area of a trapezium

a)

(a+b)h/2

b)

(h+b)a/2

40.

How do you calculate the area of a Kite?

a)

1/2 (d1 x d2)

b)

1/3 (d1 x d2)

41.

How do you calculate the area of a Rhombus?

a)

a x h

b)

a x h/2

42.

How do you calculate the area of a Parallelogram?

a)

b x h

b)

d x h

43.

How do you calculate the Length of an Arc?

a)

θ/360 x 2πr

b)

θ/360 x πr2

44.

How do you calculate the Area of a Sector?

a)

θ/360 x πr2

b)

θ/360 x πr3

45.

A vector whose magnitude is 1.

a)

Unit Vector

b)

Zero Vector

46.

Vectors with the same length but opposite directions.

a)

Negative Vectors

b)

Parallel Vectors

47.

Two/more vectors with the same length and direction.

a)

Equal Vectors

b)

Same Vectors

48.

Two/more lines, (when two vectors are known) are parallel and share a common point.

a)

Collinear Points

b)

Parallel Points

49.

How do you calculate the magnitude of a vector?

a)

x2+y2\sqrt[]{x^2+y^2}

b)

x2 y2\sqrt[]{x^2-\ y^2}

50.

Equation of a line =

a)

y = sx + c

b)

y = mx + c

51.

What is the midpoint of a line?

a)

(x1+x22), (y1 +y22)\left(\frac{x_1+x_2}{2}\right),\ \left(\frac{y_{1\ }+y_2}{2}\right)

b)

(x1x22), (y1 y22)\left(\frac{x_1-x_2}{2}\right),\ \left(\frac{y_{1\ }-y_2}{2}\right)

52.

What is the gradient of a line

a)

m = y2  y1x2 x1m\ =\ \frac{y_{2\ }-\ y_1}{x_{2\ }-x_1}

b)

m = y2 + y1x2 +x1m\ =\ \frac{y_{2\ }+\ y_1}{x_{2\ }+x_1}

53.

How do you calculate the length of a line?

a)

(x2x1)2+(y2y1)2\sqrt[]{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

b)

(x2x1)2(y2y1)2\sqrt[]{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}

54.

How do you find the y-intercept of a line?

a)

Substitute any point into the equation of the line and solve for c

b)

Substitute any point into the equation of the line and solve for x

55.

What is meant by two lines being parallel?

a)

m1 = m2

b)

m1 x m2 = -1

56.

What is meant by 2 perpendicular lines?

a)

m1 x m2 = -1

b)

m1 = m2

57.

What is the standard form of completing the square?

a)

a(x+h)2+ ka\left(x+h\right)^2+\ k

b)

a(xh)2 ka\left(x-h\right)^2-\ k

58.

How do you calculate "h" in a(x+h)2+ ka\left(x+h\right)^2+\ k ?

a)

b2a\frac{b}{2a}

b)

4ac  b24a\frac{4ac\ -\ b^2}{4a}

59.

How do you calculate "k" in a(x+h)2+ ka\left(x+h\right)^2+\ k ?

a)

b2a\frac{b}{2a}

b)

4ac  b24a\frac{4ac\ -\ b^2}{4a}

60.

How do you calculate the turning point in a(x+h)2+ ka\left(x+h\right)^2+\ k ?

a)

T(-h,k)

b)

T(h,-k)

61.

What are other words for "Turning Point" in completing the square?

a)

Stationary Point

b)

Vertex

c)

Minimum/Maximum Point

62.

How do you calculate "axis of symmetry" in a(x+h)2+ ka\left(x+h\right)^2+\ k ?

a)

x = -h of T(-h,k)

b)

x = k

63.

How do you calculate "maximum/minimum point" in a(x+h)2+ ka\left(x+h\right)^2+\ k ?

a)

y = k

b)

x = -h

64.

A maximum curve is because?

a)

a is negative

b)

a is positive

65.

A minimum curve is because?

a)

a is negative

b)

a is positive

66.

what is 0.0225\sqrt[]{0.0225}

a)

0.015

b)

0.15

67.

What is 1.851÷0.061.851\div0.06

a)

308.5

b)

30.85

68.

what is 10.42 ÷0.210.42\ \div0.2 ?

a)

52.1

b)

5.21

69.

A set containing one element.

a)

Singleton/Unit Set

b)

Negative Set

70.

A set with a finite/countable # of elements.

a)

Finite Set

b)

Infinite Set

71.

A set with an infinite # of elements

a)

Infinite Set

b)

Finite Set

72.

A set that does not contain any elements

a)

Empty/Null set

b)

Negative Set

73.

Two sets containing the same elements in them

a)

Equivalent Sets

b)

Equal Sets

74.

Two sets that have at least one different element.

a)

Unequal Sets

b)

Negative Sets

75.

Two sets that have the same # of elements.

a)

Equivalent Sets

b)

Equal Sets

76.

Two sets that have no common elements

a)

Unequal sets

b)

Disjoint Sets

77.

A set of all subsets that a set could contain.

a)

Power Set

b)

Subset

78.

The collection of all the elements regarding a particular subject.

a)

Universal Set

b)

Total Set

79.

If every element of a set A is present in set B, then it is classified as a ______ of the set

a)

Subset

b)

Superset

80.

If every element of set A is present in set B, then set B is the ______ of set A.

a)

Superset

b)

Subset

81.

What is the symbol for an Empty/Null set

a)

b)

Ø

82.

What is the symbol for "An element of"

a)

b)

83.

What is the symbol for "Not an element of"

a)

b)

84.

What is the symbol for "A superset of"

a)

b)

85.

What is the symbol for "A subset of"

a)

b)

86.

What is the symbol for "Set of natural numbers"

a)

b)

C

87.

What is the symbol for "Set of whole numbers"

a)

W

b)

88.

What is the symbol "Set of Integers"?

a)

b)

Z

89.

What is the symbol for "Set of Real Numbers"?

a)

b)

R

90.

What is the symbol for "Set of Rational Numbers"?

a)

b)

Q

91.

What is meant by (A-B)

a)

Matrice subtraction of Set A - Set B

b)

Lists all elements in set A that aren't in set B

92.

How do you calculate the number of subsets?

a)

2n

b)

2 x n

93.

How many subsets are in the set A?
Set A = {2, 3, 5, 7, 11}

a)

32

b)

10

94.

How would you calculate n(A ∪ B) for intersecting sets

a)

n(A) + n(B) - n(A ∪ B)

b)

n(A) + n(B) – n(A ∩ B)

95.

How do you calculate n(A ∩ B) for intersecting sets?

a)

n(A) + n(B) – n(A ∪ B)

b)

n(A) + n(B) – n(A ∩ B)

96.

How do you calculate n(A) for intersecting sets?

a)

n(A ∪ B) + n(A ∩ B) – n(B)

b)

n(A ∪ B) + n(A ∩ B) – n(A)

97.

How do you calculate n(B) for intersecting sets?

a)

n(A ∪ B) + n(A ∩ B) – n(A)

b)

n(A)

98.

How do you calculate n(A-B) for intersecting sets?

a)

n(A ∪ B) – n(B)

b)

n(A ∪ B) – n(A)

99.

How do you calculate n(B-A) for intersecting sets?

a)

n(A) - n(A ∩ B)

b)

n(A ∪ B) – n(A)

100.

How do you calculate n(A ∪ B) for disjoint sets?

a)

n(A) + n(B)

b)

n(A) + n(B) – n(A ∩ B)

101.

How do you calculate A ∩ B for disjoin sets?

a)

Find the intersection

b)

Ø (There is none)

102.

How do you calculate n(A-B) for disjoint sets?

a)

n(A)

b)

n(B)

103.

How do you convert a decimal to a fraction?

a)

place the decimal number over its place value.

b)

times it by 100

104.

How do you convert a fraction to a decimal?

a)

divide the numerator by the denominator.

b)

divide the denominator by the numerator

105.

How do you convert a decimal to a percentage?

a)

multiply the decimal by 100

b)

multiply the decimal by 1000

106.

How many kilograms make a tonne?

a)

1,000kg

b)

100kg

107.

Angles around a point sum to ____ degrees

a)

360

b)

180

108.

Angles on a straight line sum to ______

a)

180

b)

90