AQA · Mathematics · 8300
GCSE Maths: Fractions: expressing as
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Fractions: expressing as (Corbettmaths Video 136), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
13 flashcards · Free to study · No account needed
Study this deck
Preparing your cards…
All questions and answers
Read through the full deck, or practise recalling each answer above.
When expressing one quantity as a fraction of another, what must be true about the units?
Show answer
Both quantities must be in the same units before forming the fraction.
What is 5 days expressed as a simplified fraction of 20 days?
Show answer
1/4 (both have the same units, so 5/20 simplifies to 1/4)
To express 40p as a fraction of £3, what conversion must you make first?
Show answer
Convert £3 to pence (300p), so both quantities are in the same unit.
If 20 out of 30 students have brown hair, what fraction is this in simplest form?
Show answer
2/3 (20/30 simplifies by dividing both by 10)
If Rebecca sleeps 6 hours out of a 24-hour day, what fraction of the day is she awake?
Show answer
3/4 (She is awake 18 hours out of 24, which simplifies to 3/4)
When expressing '12 out of 16' as a fraction in simplest form, what is the answer?
Show answer
3/4 (divide both numerator and denominator by 4)
In a class with 12 girls and 18 boys, what fraction are girls in simplest form?
Show answer
2/5 (12 out of 30 total students = 12/30 = 2/5)
To express 50p as a fraction of £4 in simplest form, what is the answer?
Show answer
1/8 (Convert £4 to 400p, so 50/400 = 1/8)
What is 21/84 expressed in its simplest form?
Show answer
1/4 (divide both numerator and denominator by 21)
What is 42/70 expressed in its simplest form?
Show answer
3/5 (divide both numerator and denominator by 14)
A table cost £180 last year and £210 this year. What is the increase in cost as a fraction of last year's cost?
Show answer
£30/£180 = 1/6. The increase is £30, and as a fraction of the original £180, this simplifies to 1/6.
When comparing two quantities as a fraction (e.g., shortest time / longest time), should the answer be left as an improper fraction or simplified?
Show answer
Simplified to its simplest form (by dividing both numerator and denominator by their greatest common factor).
What is the first step in finding the increase in cost as a fraction of the original cost?
Show answer
Calculate the actual increase by subtracting the original cost from the new cost.
Want to create your own cards? Create a free account. AI generation uses credits.