GCSE Edexcel Maths Higher FINAL
EXAM QUESTIONS WITH 100%
CORRECT SOLUTIONS||100%
GUARANTEED PASS||A+
GRADED||UPDATED
2025/2026||<<NEWEST SYLLABUS>>
Two shapes are congruent. What does that mean? - ANSWER ✓ They are the
same shape and size.
Two shapes are similar. What does that mean? - ANSWER ✓ One is an
enlargement of the other. The same shape, but different size.
What does tessellate mean? - ANSWER ✓ Identical shapes fit together with no
gaps.
How do you construct a 'perpendicular bisector?' - ANSWER ✓ 1. Set your
compass to OVER half the length of the line.
2. Place the compass point on one end of the line and draw an arc.
3. Repeat for the other end of the line.
4. Draw a line joining where the arcs cross.
How do you construct an 'angle bisector?' - ANSWER ✓ 1. Put the point of the
compass where the lines meet and draw an arc on each line.
2. Put the point of the compass on where the arc meets the line and draw an arc
towards the middle of the angle.
3. Repeat
4. Join where the arcs cross to where the lines meet.
How do you order decimals? e.g. 0.4, 0.13 and 0.312 (from smallest to largest) -
ANSWER ✓ 1. Make all numbers the same length by adding zeros.
2. Order the decimals.
e.g.
,0.130, 0.312, 0.400
How do you estimate a calculation? - ANSWER ✓ Round each number to 1
significant figure and then work out.
When asked to 'criticise' a question, what are the typical mistakes? - ANSWER ✓
1. No timescale in the question.
2. The question is leading.
3. The catagories overlap.
4. No 'other' or 'more than' option.
How do you write a number as a product of primes? e.g. 20 - ANSWER ✓ Use a
prime factor tree.
What is the LCM (Lowest Common Multiple)? e.g. LCM of 7 and 4. - ANSWER
✓ The LCM is the first common multiple of both numbers.
e.g. The LCM of 7 and 4 is 28.
What is the HCF (Highest Common Factor)? e.g. HCF of 15 and 20. - ANSWER
✓ The HCF is the largest factor of both numbers.
e.g. The HCF of 15 and 20 is 5.
What is y³ x y⁵ - ANSWER ✓ y⁸ (add the powers)
What is y⁸ ÷ y² - ANSWER ✓ y⁶ (subtract the powers)
What is (y²)⁴ - ANSWER ✓ y⁸ (multiply the powers)
How do you calculate 'percentage change?' - ANSWER ✓ change ÷ original x 100
How do you expand brackets? - ANSWER ✓ Multiply the terms inside, by the
term outside.
How do you expand two brackets? - ANSWER ✓ Use FOIL
What does factorise mean? - ANSWER ✓ Putting the brackets back in.
a + a + a - ANSWER ✓ 3a
, a x a x a - ANSWER ✓ a³
a x a - ANSWER ✓ a²
5w + 3w - w - ANSWER ✓ 7w
Expand and simplify 3(w + 2) + 5(w + 3) - ANSWER ✓ 3w + 6 + 5w + 15 = 8w +
21
How do you find the perimeter? - ANSWER ✓ Add up all the lengths of the sides.
How do you find the area of a parallelogram? - ANSWER ✓ Base times height
How do you find the area of a trapezium? - ANSWER ✓ It is on the formula sheet
and is ½(a+b)h
A car travels 60 miles in 3 hours. What is it's average speed? - ANSWER ✓ S = D
÷T
60 ÷ 3 = 20mph
How do you share £40 in the ratio 2:3 - ANSWER ✓ 1) Add 2 + 3 = 5
2) £40 ÷ 5 = £8 in one part
3) 2 x £8 = £16
4) 3 x £8 = £24
Solve 3y = 21 - ANSWER ✓
Solve w - 8 = 3 - ANSWER ✓
Solve 2w + 3 = 17 - ANSWER ✓
Solve 6w + 1 = 4w + 13 - ANSWER ✓
When solving using trial and improvement to 1 decimal place, if 4.5 is too low
and 4.6 is too high, what would you do next? - ANSWER ✓ Try 4.55.
If it is too low, 4.6 is the answer.
If it is too high, 4.5 is the answer.
EXAM QUESTIONS WITH 100%
CORRECT SOLUTIONS||100%
GUARANTEED PASS||A+
GRADED||UPDATED
2025/2026||<<NEWEST SYLLABUS>>
Two shapes are congruent. What does that mean? - ANSWER ✓ They are the
same shape and size.
Two shapes are similar. What does that mean? - ANSWER ✓ One is an
enlargement of the other. The same shape, but different size.
What does tessellate mean? - ANSWER ✓ Identical shapes fit together with no
gaps.
How do you construct a 'perpendicular bisector?' - ANSWER ✓ 1. Set your
compass to OVER half the length of the line.
2. Place the compass point on one end of the line and draw an arc.
3. Repeat for the other end of the line.
4. Draw a line joining where the arcs cross.
How do you construct an 'angle bisector?' - ANSWER ✓ 1. Put the point of the
compass where the lines meet and draw an arc on each line.
2. Put the point of the compass on where the arc meets the line and draw an arc
towards the middle of the angle.
3. Repeat
4. Join where the arcs cross to where the lines meet.
How do you order decimals? e.g. 0.4, 0.13 and 0.312 (from smallest to largest) -
ANSWER ✓ 1. Make all numbers the same length by adding zeros.
2. Order the decimals.
e.g.
,0.130, 0.312, 0.400
How do you estimate a calculation? - ANSWER ✓ Round each number to 1
significant figure and then work out.
When asked to 'criticise' a question, what are the typical mistakes? - ANSWER ✓
1. No timescale in the question.
2. The question is leading.
3. The catagories overlap.
4. No 'other' or 'more than' option.
How do you write a number as a product of primes? e.g. 20 - ANSWER ✓ Use a
prime factor tree.
What is the LCM (Lowest Common Multiple)? e.g. LCM of 7 and 4. - ANSWER
✓ The LCM is the first common multiple of both numbers.
e.g. The LCM of 7 and 4 is 28.
What is the HCF (Highest Common Factor)? e.g. HCF of 15 and 20. - ANSWER
✓ The HCF is the largest factor of both numbers.
e.g. The HCF of 15 and 20 is 5.
What is y³ x y⁵ - ANSWER ✓ y⁸ (add the powers)
What is y⁸ ÷ y² - ANSWER ✓ y⁶ (subtract the powers)
What is (y²)⁴ - ANSWER ✓ y⁸ (multiply the powers)
How do you calculate 'percentage change?' - ANSWER ✓ change ÷ original x 100
How do you expand brackets? - ANSWER ✓ Multiply the terms inside, by the
term outside.
How do you expand two brackets? - ANSWER ✓ Use FOIL
What does factorise mean? - ANSWER ✓ Putting the brackets back in.
a + a + a - ANSWER ✓ 3a
, a x a x a - ANSWER ✓ a³
a x a - ANSWER ✓ a²
5w + 3w - w - ANSWER ✓ 7w
Expand and simplify 3(w + 2) + 5(w + 3) - ANSWER ✓ 3w + 6 + 5w + 15 = 8w +
21
How do you find the perimeter? - ANSWER ✓ Add up all the lengths of the sides.
How do you find the area of a parallelogram? - ANSWER ✓ Base times height
How do you find the area of a trapezium? - ANSWER ✓ It is on the formula sheet
and is ½(a+b)h
A car travels 60 miles in 3 hours. What is it's average speed? - ANSWER ✓ S = D
÷T
60 ÷ 3 = 20mph
How do you share £40 in the ratio 2:3 - ANSWER ✓ 1) Add 2 + 3 = 5
2) £40 ÷ 5 = £8 in one part
3) 2 x £8 = £16
4) 3 x £8 = £24
Solve 3y = 21 - ANSWER ✓
Solve w - 8 = 3 - ANSWER ✓
Solve 2w + 3 = 17 - ANSWER ✓
Solve 6w + 1 = 4w + 13 - ANSWER ✓
When solving using trial and improvement to 1 decimal place, if 4.5 is too low
and 4.6 is too high, what would you do next? - ANSWER ✓ Try 4.55.
If it is too low, 4.6 is the answer.
If it is too high, 4.5 is the answer.
