Functional Skills maths Level 2 practice test: try these questions
Eight exam-style questions with worked answers. Do them cold, then see where you stand.
Updated
How to use this
Do the first two questions without a calculator and the rest with one, the way the real paper splits. Write down your working — Level 2 is marked for method. Then check against the answers and, more importantly, note which topic each miss was on. That's your revision list.
These questions are in the style of the Level 2 paper, not copies of it. For a full-length timed test with per-skill feedback, ResitReady's diagnostic is free and takes about ten minutes.
Non-calculator questions
1. A café sells 1,250 coffees in a week. Three fifths of them are takeaway. How many are drunk in the café?
2. A phone costs £480. In a sale it is reduced by 15%. What is the sale price?
Calculator questions
3. A jacket costs £64 after a 20% discount. What was the original price?
4. Share £240 between Aisha and Ben in the ratio 3 : 5. How much does each get?
5. A rectangular lawn measures 12 m by 7.5 m. Turf costs £4.20 per square metre. How much does it cost to turf the lawn?
6. Five deliveries took 32, 45, 28, 51 and 39 minutes. What is the mean time per delivery?
7. A van travels 135 miles in 2 hours 15 minutes. What is its average speed in miles per hour?
8. A bag contains 4 red, 6 blue and 10 green counters. One is picked at random. What is the probability it is not red? Give your answer as a fraction in its simplest form.
Worked answers
1. 500. Takeaway is 3/5, so in-café is 2/5. One fifth of 1,250 is 250, so two fifths is 500. (Topic: fractions of amounts.)
2. £408. 10% of £480 is £48 and 5% is £24, so 15% is £72. £480 − £72 = £408. (Topic: percentages of amounts.)
3. £80. After a 20% discount the jacket costs 80% of the original, so £64 ÷ 0.8 = £80. Check: 20% of £80 is £16, and £80 − £16 = £64. (Topic: reverse percentages — the one most people get wrong. Don't add 20% back on: that gives £76.80.)
4. Aisha £90, Ben £150. 3 + 5 = 8 parts; £240 ÷ 8 = £30 per part; 3 × £30 = £90 and 5 × £30 = £150. Check they add to £240. (Topic: ratio.)
5. £378. Area = 12 × 7.5 = 90 m². Cost = 90 × £4.20 = £378. (Topic: area and money.)
6. 39 minutes. 32 + 45 + 28 + 51 + 39 = 195; 195 ÷ 5 = 39. (Topic: mean.)
7. 60 mph. 2 hours 15 minutes is 2.25 hours, not 2.15. 135 ÷ 2.25 = 60. (Topic: compound measures — converting minutes to a decimal hour is the usual slip.)
8. 4/5. There are 20 counters and 16 of them are not red, so 16/20 = 4/5. (Topic: probability.)
What your score means
Seven or eight right, with working: you're at or above the Level 2 standard on these topics — move to full timed papers. Five or six: you're close, and the questions you missed name the skills to drill. Four or fewer: that's fine, and normal — it just means start with a diagnostic so you're working on the right things, and consider whether Level 1 first would build a faster run-up.