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WorksheetsMath Topics (Consumer Arithmetic, Shapes)
Total questions: 108
Worksheet time: 55mins
How do you calculate sales tax/profit
Cost Price - Selling Price
Selling Price - Cost Price
Profit/Tax% x Cost Price
How do you calculate Discount/Loss?
Cost Price - Selling Price
Selling Price - Cost Price
Loss/Discount% x Cost Price
How do you calculate the Loss/Discount%?
Loss/Cost Price x 100
Loss/Selling Price x 100
How do you calculate the Profit/Tax%?
Profit/Cost Price x 100
Profit/Selling Price x 100
How do you calculate the Selling Price?
Cost Price + Profit
Cost Price + Loss
How do you calculate the Cost Price?
Selling Price - Profit
Selling Price - Loss
How do you calculate the Hire Purchase Price?
Deposit + Total Monthly payments
Deposit - Total Monthly Payments
How do you calculate the Savings?
Total Hire Purchase Price - Cash Price
Total Hire Purchase Price - Cost Price
How do you calculate the Loan Amount?
Cash Price - Discount
Cash Price - Deposit
How do you calculate the Down Payment/Deposit?
x% of Cash Price
Cash Price - Loan
How do you calculate the Total Monthly Payments?
Monthly installments x # of months
Monthly Installments x # of years
How do you calculate the Extra Cost?
Hire Purchase Price - Cash Price
Hire Purchase Price - Deposit
How do you calculate the Extra Cost%?
Extra Cost/Cash Price x 100
Extra Cost/Profit x 100
How do you calculate the Simple Interest?
PRT/100
100/PRT
How do you calculate the Total Repayment?
Principal - Interest
Principal + Interest
How do you calculate the Commission?
x% of value of product sold
x
How do you calculate the Surface Area of a Cube?
6a2
a3
How do you calculate the Surface Area of a Cuboid/Rectangular Prism?
2(lw + wh + lh)
l x w x h
How do you calculate the Surface Area of a Cone?
πr(r+l)
1/3 x π x r2 x h
How do you calculate the Surface Area of a Cylinder?
2πr(r+h)
πr2h
How do you calculate the Surface Area of a Square-based Pyramid?
1/2 × base perimeter × slant height × area of base
1/3 × area of base x h
How do you calculate the Surface Area of a Sphere?
4πr2
4/3πr3
How do you calculate the Surface Area of a Triangular Prism?
bh (s1+s2+ s3) × slant height
1/2x bh x slant height
How do you calculate the Volume of a Cube?
a3
a2
How do you calculate the Volume of a Cuboid/Rectangular Prism?
l x w x h
l x w
How do you calculate the Volume of a Cone?
1/3 πr2h
πr2h
How do you calculate the Volume of a Cylinder?
πr2h
πrh
How do you calculate the Volume of a Square-based Pyramid?
1/3 x area of base x h
1/2 x area of base x h
How do you calculate the Volume of a Sphere?
4/3 x πr3
4/3 x πr2
How do you calculate the Volume of a Triangular Prism?
1/2 x bh x slant height
1/3 x bh x slant height
What's the measure of degrees for North?
0
360 or 0
What's the measure of degrees for North East?
45
22.5
What's the measure of degrees for East?
90
45
What's the measure of degrees for South East?
135
120
What's the measure of degrees for South?
180
90
What's the measure of degrees for South West?
225
180
What's the measure of degrees for West?
270
225
What's the measure of degrees for North West?
315
225
How do you calculate the area of a trapezium
(a+b)h/2
(h+b)a/2
How do you calculate the area of a Kite?
1/2 (d1 x d2)
1/3 (d1 x d2)
How do you calculate the area of a Rhombus?
a x h
a x h/2
How do you calculate the area of a Parallelogram?
b x h
d x h
How do you calculate the Length of an Arc?
θ/360 x 2πr
θ/360 x πr2
How do you calculate the Area of a Sector?
θ/360 x πr2
θ/360 x πr3
A vector whose magnitude is 1.
Unit Vector
Zero Vector
Vectors with the same length but opposite directions.
Negative Vectors
Parallel Vectors
Two/more vectors with the same length and direction.
Equal Vectors
Same Vectors
Two/more lines, (when two vectors are known) are parallel and share a common point.
Collinear Points
Parallel Points
How do you calculate the magnitude of a vector?
x2+y2
x2− y2
Equation of a line =
y = sx + c
y = mx + c
What is the midpoint of a line?
(2x1+x2), (2y1 +y2)
(2x1−x2), (2y1 −y2)
What is the gradient of a line
m = x2 −x1y2 − y1
m = x2 +x1y2 + y1
How do you calculate the length of a line?
(x2−x1)2+(y2−y1)2
(x2−x1)2−(y2−y1)2
How do you find the y-intercept of a line?
Substitute any point into the equation of the line and solve for c
Substitute any point into the equation of the line and solve for x
What is meant by two lines being parallel?
m1 = m2
m1 x m2 = -1
What is meant by 2 perpendicular lines?
m1 x m2 = -1
m1 = m2
What is the standard form of completing the square?
a(x+h)2+ k
a(x−h)2− k
How do you calculate "h" in a(x+h)2+ k ?
2ab
4a4ac − b2
How do you calculate "k" in a(x+h)2+ k ?
2ab
4a4ac − b2
How do you calculate the turning point in a(x+h)2+ k ?
T(-h,k)
T(h,-k)
What are other words for "Turning Point" in completing the square?
Stationary Point
Vertex
Minimum/Maximum Point
How do you calculate "axis of symmetry" in a(x+h)2+ k ?
x = -h of T(-h,k)
x = k
How do you calculate "maximum/minimum point" in a(x+h)2+ k ?
y = k
x = -h
A maximum curve is because?
a is negative
a is positive
A minimum curve is because?
a is negative
a is positive
what is 0.0225
0.015
0.15
What is 1.851÷0.06
308.5
30.85
what is 10.42 ÷0.2 ?
52.1
5.21
A set containing one element.
Singleton/Unit Set
Negative Set
A set with a finite/countable # of elements.
Finite Set
Infinite Set
A set with an infinite # of elements
Infinite Set
Finite Set
A set that does not contain any elements
Empty/Null set
Negative Set
Two sets containing the same elements in them
Equivalent Sets
Equal Sets
Two sets that have at least one different element.
Unequal Sets
Negative Sets
Two sets that have the same # of elements.
Equivalent Sets
Equal Sets
Two sets that have no common elements
Unequal sets
Disjoint Sets
A set of all subsets that a set could contain.
Power Set
Subset
The collection of all the elements regarding a particular subject.
Universal Set
Total Set
If every element of a set A is present in set B, then it is classified as a ______ of the set
Subset
Superset
If every element of set A is present in set B, then set B is the ______ of set A.
Superset
Subset
What is the symbol for an Empty/Null set
∉
Ø
What is the symbol for "An element of"
∈
∉
What is the symbol for "Not an element of"
∉
∈
What is the symbol for "A superset of"
⊇
⊆
What is the symbol for "A subset of"
⊇
⊆
What is the symbol for "Set of natural numbers"
ℕ
C
What is the symbol for "Set of whole numbers"
W
ℝ
What is the symbol "Set of Integers"?
ℤ
Z
What is the symbol for "Set of Real Numbers"?
ℝ
R
What is the symbol for "Set of Rational Numbers"?
ℚ
Q
What is meant by (A-B)
Matrice subtraction of Set A - Set B
Lists all elements in set A that aren't in set B
How do you calculate the number of subsets?
2n
2 x n
How many subsets are in the set A?
Set A = {2, 3, 5, 7, 11}
32
10
How would you calculate n(A ∪ B) for intersecting sets
n(A) + n(B) - n(A ∪ B)
n(A) + n(B) – n(A ∩ B)
How do you calculate n(A ∩ B) for intersecting sets?
n(A) + n(B) – n(A ∪ B)
n(A) + n(B) – n(A ∩ B)
How do you calculate n(A) for intersecting sets?
n(A ∪ B) + n(A ∩ B) – n(B)
n(A ∪ B) + n(A ∩ B) – n(A)
How do you calculate n(B) for intersecting sets?
n(A ∪ B) + n(A ∩ B) – n(A)
n(A)
How do you calculate n(A-B) for intersecting sets?
n(A ∪ B) – n(B)
n(A ∪ B) – n(A)
How do you calculate n(B-A) for intersecting sets?
n(A) - n(A ∩ B)
n(A ∪ B) – n(A)
How do you calculate n(A ∪ B) for disjoint sets?
n(A) + n(B)
n(A) + n(B) – n(A ∩ B)
How do you calculate A ∩ B for disjoin sets?
Find the intersection
Ø (There is none)
How do you calculate n(A-B) for disjoint sets?
n(A)
n(B)
How do you convert a decimal to a fraction?
place the decimal number over its place value.
times it by 100
How do you convert a fraction to a decimal?
divide the numerator by the denominator.
divide the denominator by the numerator
How do you convert a decimal to a percentage?
multiply the decimal by 100
multiply the decimal by 1000
How many kilograms make a tonne?
1,000kg
100kg
Angles around a point sum to ____ degrees
360
180
Angles on a straight line sum to ______
180
90
