GCSE Maths Exam Study Guide
– Practice Questions with
Answers. GRADED A+. Latest
2026/2027 Update.
What are multiples? - Ans✔✔-The times table of a number
What is a factor? - Ans✔✔-All of the numbers that divide into a number (2 is a
factor of 6)
How do you find the least common multiple of two numbers if you don't know
the prime factors? - Ans✔✔--List the multiples of both numbers
-Find the smallest number in both lists
How do you find the least common multiple of two numbers if you know the
prime factors? - Ans✔✔--List the prime factors that appear in either number
-If a factor appears more than once (e.g 3 squared), list it that many times
-Multiply these to get the LCM
,How do you find the highest common factor of two numbers if you don't know
the prime factors? - Ans✔✔--List the factors of both numbers
-Find the biggest number in both lists
How do you find the highest common factor of two numbers if you know the
prime factors? - Ans✔✔--List all the prime factors that appear in both numbers
-If a number appears less in one list than the other (2 squared in one, 2 cubed
in the other), list it the smaller amount of times
-Multiply these to get the HCF
How do you multiply fractions? - Ans✔✔--Multiply top by top
-and bottom by bottom
How do you divide fractions? - Ans✔✔--Turn one fraction upside down
-Multiply
How do you convert basic recurring decimals into fractions? - Ans✔✔--Let your
decimal be x
-Multiply your x to get the recurring part past the decimal point, y
-Minus x from y
-Divide by y - x
How do you convert complex recurring decimals into fractions? - Ans✔✔--Let
your decimal be x
-Multiply x to move the non-repeating part past the decimal point, z
-Multiply x to move the recurring part past the decimal point, y
, -Minus z from y
-Divide by y - z
What are the two ways of converting fractions into recurring decimals? -
Ans✔✔--Find an equivalent fraction with all nines on the bottom. The
numerator is the recurring part
-Divide it
How can you estimate a square root? - Ans✔✔--Find two square numbers
either side of the number your given
-Decide which number it's closest to
-Estimate the digit after the decimal point
How do you multiply or divide standard form? - Ans✔✔--Rearrange to put the
front numbers and powers of ten together
-Multiply or divide the front numbers
-Multiply or divide the powers of 10
-Keep the answer in standard form
How do you add or subtract standard form? - Ans✔✔--Make the powers of ten
the same, there is now only one of them
-Add or subtract front numbers
-Keep the answer in standard form
What does a negative power do? - Ans✔✔--Negative reciprocal
-Denominator to the power of the indices
– Practice Questions with
Answers. GRADED A+. Latest
2026/2027 Update.
What are multiples? - Ans✔✔-The times table of a number
What is a factor? - Ans✔✔-All of the numbers that divide into a number (2 is a
factor of 6)
How do you find the least common multiple of two numbers if you don't know
the prime factors? - Ans✔✔--List the multiples of both numbers
-Find the smallest number in both lists
How do you find the least common multiple of two numbers if you know the
prime factors? - Ans✔✔--List the prime factors that appear in either number
-If a factor appears more than once (e.g 3 squared), list it that many times
-Multiply these to get the LCM
,How do you find the highest common factor of two numbers if you don't know
the prime factors? - Ans✔✔--List the factors of both numbers
-Find the biggest number in both lists
How do you find the highest common factor of two numbers if you know the
prime factors? - Ans✔✔--List all the prime factors that appear in both numbers
-If a number appears less in one list than the other (2 squared in one, 2 cubed
in the other), list it the smaller amount of times
-Multiply these to get the HCF
How do you multiply fractions? - Ans✔✔--Multiply top by top
-and bottom by bottom
How do you divide fractions? - Ans✔✔--Turn one fraction upside down
-Multiply
How do you convert basic recurring decimals into fractions? - Ans✔✔--Let your
decimal be x
-Multiply your x to get the recurring part past the decimal point, y
-Minus x from y
-Divide by y - x
How do you convert complex recurring decimals into fractions? - Ans✔✔--Let
your decimal be x
-Multiply x to move the non-repeating part past the decimal point, z
-Multiply x to move the recurring part past the decimal point, y
, -Minus z from y
-Divide by y - z
What are the two ways of converting fractions into recurring decimals? -
Ans✔✔--Find an equivalent fraction with all nines on the bottom. The
numerator is the recurring part
-Divide it
How can you estimate a square root? - Ans✔✔--Find two square numbers
either side of the number your given
-Decide which number it's closest to
-Estimate the digit after the decimal point
How do you multiply or divide standard form? - Ans✔✔--Rearrange to put the
front numbers and powers of ten together
-Multiply or divide the front numbers
-Multiply or divide the powers of 10
-Keep the answer in standard form
How do you add or subtract standard form? - Ans✔✔--Make the powers of ten
the same, there is now only one of them
-Add or subtract front numbers
-Keep the answer in standard form
What does a negative power do? - Ans✔✔--Negative reciprocal
-Denominator to the power of the indices
