Number

Question 1

What is an integer?

Answer 1

A whole negative or positive number. Zero is an integer

Question 2

What are rational and irrational numbers?

Answer 2

Rational numbers are numbers that DNA be written as fractions
Irrational numbers can’t be written as fractions(most square roots are irrational, never ending numbers and decimals are irrational and so is pi)

Question 3

What is the order for operations using BODMAS?

Answer 3

Brackets, Other (like indices), Division, Multiplication, Addition, Subtraction

Question 4

What are multiples of a number?

Answer 4

Numbers that appear in the times table of a number

Question 5

What are factors of a number?

Answer 5

Numbers that divide into a number exactly

Question 6

How do you find the prime factors of a number?

Answer 6

Using a factor tree

Question 7

How do you work out the LCM of a number?

Answer 7

Multiply all the prime factors that appear in either number. E.G.
18 = 2 x 2 x 3 30 = 2 x 3 x 5

LCM = 2 x 3 x 3 x 5 = 90

If you place the prime factors in a Venn diagram, multiply all the numbers inside the wrings but outside the overlap together

Question 8

How do you work out the HCF of a number?

Answer 8

Multiply all the prime factors that appear in both numbers together

Question 9

How do you multiply a fraction?

Answer 9

Multiply both the numerators together to get the numerator of the answer and do the same with the denominators to get the denominator in the answer

Question 10

How do you divide a fraction?

Answer 10

Turn the second fraction upside down and the multiply as normal

Question 11

How do you add and subtract fractions?

Answer 11

Find a common denominator and then subtract or add as necessary

Question 12

What do fractions of something require you to do?

Answer 12

Multiply the fraction and convert the integer to an improper fraction

Question 13

How do you convert recurring decimals into fractions?

Answer 13

1) Name the decimal (e.g. x)
2) Multiply the recurring decimal so that the recurring part moves past the decimal by one full lump.
3) Subtract x or the necessary amount of x from the multiplied amount of x
4) Divide the new rational number by the amount of x it is worth

Question 14

How do you convert fractions into recurring decimals?

Answer 14

Use the bus stop method (divide numerator by denominator)

Question 15

How do you estimate the answer to a square root?

Answer 15

Find two square numbers either side and make a sensible estimate to what it could be

Question 16

What are upper and lower bounds?

Answer 16

The upper bound is the maximum value a rounded amount could have been.
The lower bound is the lowest value a rounded amount could have been.
A truncated number can not have a lower bound

Question 17

What is truncation?

Answer 17

If you truncate a number, you remove a certain amount of specified numbers after the decimal point. No rounding is involved

Question 18

What are the three rules to standard form?

Answer 18

1) the front number must be between 1 and 10
2) the power of ten is how far the decimal point moves
3) the power is positive for big numbers and negative for small numbers

Question 19

How do you multiply and divide two numbers in standard form?

Answer 19

1) Multiply/divide the front numbers
2) Multiply/divide the powers of ten
3) Convert to standard form

Question 20

How do you add and subtract numbers in standard form?

Answer 20

1) Make sure the powers of ten are the same by changing one of the numbers in standard form
2) Add or subtract the front numbers (this answer will be multiplied by the power of ten in your working)
3) Convert to standard form