Numbers

Question 1

Natural Numbers (N)

Answer 1

Positive whole numbers
Eg. 1,2,3,4,5,6

Question 2

Factor

Answer 2

a number that divides evenly into another number

Question 3

pairs of factors

Answer 3

a pair of numbers that multiply together to give said number.

Eg. Pairs of factor of 12 = 1,12 2,6 3,4

Question 4

Prime Numbers (P)

Answer 4

numbers that only have 1 pair of factors. They are 1 and the selected number.

Question 5

Highest Common Factor (HCF)

Answer 5

The largest number that divides into both numbers.

Eg. 36: 1,2,3,4,6,9,12,18,36
54: 1,2,3,6,9,18,27,54

HCF: 18

Question 6

Indices (How to put together)

Answer 6

Eg. 4².
Base: 4
Index: ²
Say: 4 squared
Expand: 4×4
Answer: 16

Question 7

Associative & Commutative

Answer 7

Same answer even when switched around

Eg. Commutative: 4 + 6 = 6 + 4

Associative: (6x4) x 8 = 6 x (4x8)

Question 8

Integers (Z)

Answer 8

Whole positive and negative numbers including 0.

Question 9

Rounding

Answer 9

If number <5 round down. If it is 5 or > round up

Eg. Round to 2 significant numbers

482 -> down = 480

Eg. Round to 3 significant numbers

782,946 -> up = 783,000

Question 10

Comparing numbers

Answer 10

< less than
> greater than

Eg. 4 < 6
-4 > -6

Question 11

Reciprocal

Answer 11

Flip it upside down

Eg. 1/8 = 8/1 = 1
2/3 = 3/2 = 1 1/2

Question 12

Numerator (fraction)

Answer 12

top half of a fraction

Question 13

Denominator

Answer 13

Bottom half of a fraction

Question 14

Adding Fractions(and subtracting)

Answer 14

1. Make sure all fractions denominators are the same (if not find the LCM).
2. add numerators
3. the denominator stays the same for the answer (the one you changed if you changed it)
4. Simplify if needed.
   eg. 3/4 = 1/3 = 3(3)/4(3) = 1(4)/3(4) = 9/12 + 4/12 = 13/12 = 1 1/12 LCM: 12

Question 15

Multiplying Fractions

Answer 15

1. Multiply all numerators
2. Multiply all denominators
3. Simplify if needed

Eg. 2/5 x 3/7 = 2(3)/5(7) = 6/35

Question 16

Dividing Fractions

Answer 16

Multiply by the reciprocal of the 2nd number.

Eg. 2/3 ÷ 1/4 = 2/3 x 4/1 = 2(4)/3(1) = 8/3

Question 17

Possible Outcomes

Answer 17

Number of outcomes x number of outcomes.

Eg. Coin: 2
Dice: 6

6x2=12 outcomes

Question 18

Changing a fraction to a decimal

Answer 18

divide numerator by denominator

Question 19

changing a fraction/decimal to percentage

Answer 19

x100

Question 20

to change a percentage to a fraction/decimal

Answer 20

divide by 100

Question 21

finding a percentage

Answer 21

30 x 12/100 or 30 x 0.12

Question 22

finding 100%

Answer 22

divide number and percentage by percentage and multiply by 100.

eg. 63%/63% = $7.25/63
1% = $0.115
x100

100% = $11.50

Question 23

Discount and VAT

Answer 23

divide percentage by total percentage, same with total number.

multiply by 100

eg.
123%/123 = $2.50/123
1% = $0.020
x100
$2

x23
$0.46

Question 24

Percentage Profit/loss

Answer 24

profit (or loss)/cost price x 100

Eg. I bought a mirror for $20 and sold it for $25

Profit=$25-20=$5

5/20 x 100 = 25%