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Ecolint Campus des NationsMathematics
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Pack B — Fluency

Ecolint Campus des NationsMathematics
Year 8 · 8.2 Ratio and Rates

Pack B · Fluency

Name: _________________________________
Date: _________________ Class: ___________

Answer all questions. Show your working. Questions are grouped by challenge level.

BronzeQuestions 1–10
  1. 1.
    Simplify the ratio 18:2418:24 fully. State the HCF you used.
     
  2. 2.
    Simplify the ratio 12:18:3012:18:30 fully.
     
  3. 3.
    Write 9 hours out of 30 hours as a percentage.
     
  4. 4.
    In a bag there are 8 strawberry sweets and 12 orange sweets. Write the ratio of strawberry to orange in its simplest form.
     
  5. 5.
    Find 40% of 500 g.
     
  6. 6.
    Write numden\dfrac{{num}}{{den}} as a percentage.
     
  7. 7.
    8 apples cost 2.40 chf. Find the cost of 1 apple.
     
  8. 8.
    Fill in the missing value so that 2:72:7 is equivalent to □:28\square:28.
     
  9. 9.
    Increase 80 chf by 15%.
     
  10. 10.
    Decrease 90 chf by 20%.
     
SilverQuestions 11–20
  1. 11.
    Simplify the ratio 210 mm : 14 cm : 35 cm.
     
  2. 12.
    Share 80 chf in the ratio 3:53:5.
     
  3. 13.
    A bag of 25 sweets contains 15 raspberry sweets; the rest are pineapple. (a) Write the ratio raspberry : pineapple in simplest form. (b) What percentage of the sweets are pineapple?
     
  4. 14.
    8 chocolate bars cost 2.40 chf. How much would 20 chocolate bars cost at the same rate?
     
  5. 15.
    8 chocolate bars cost 2.40 chf. How many bars can be bought for 6.00 chf?
     
  6. 16.
    A car travels 360 km in 4 hours. Find its average speed in km/h and km/min.
     
  7. 17.
    A water tank fills at 8 L/min. How many litres in (a) 12 minutes? (b) 2 hours?
     
  8. 18.
    Find the unit rate: 24 chf for 8 kg of fruit.
     
  9. 19.
    An item that cost 200 chf is now 150 chf. Find the percentage decrease.
     
  10. 20.
    A salary of 5500 chf is increased by 6%. Find the new salary.
     
GoldQuestions 21–30
  1. 21.
    In a 3-leg relay, Stefania ran 25\dfrac{2}{5} of the course, Jan ran 28% of the course, and René ran the rest. What percentage did René run?
     
  2. 22.
    A bike is on sale for 480 chf. This is a 20% discount on the original price. What was the original price? Give your answer to 2 decimal places.
     
  3. 23.
    If x:y=2:3x:y = 2:3 and x:z=4:5x:z = 4:5, find the ratio y:zy:z in its simplest form.
     
  4. 24.
    Out of 1200 competitors, 900 finished the race. The ratio of female : male finishers is 5:45:4. Find the number of male finishers and the number of female finishers.
     
  5. 25.
    You earn 200 chf a week. Your boss gives you a 20% pay increase. The following week your new pay is cut by 10%. How much do you earn now?
     
  6. 26.
    Shop A: 10 bars for 2.50 chf. Shop B: 12 bars for 2.40 chf, plus 3 free bars. Which shop offers better value per bar?
     
  7. 27.
    A submarine is at −120-120 m. It rises by 20% of its current depth (towards the surface). What is its new depth?
     
  8. 28.
    Which of these ratios are equivalent to 2:52:5? Pick all that apply.\nA: 6:156:15, B: 10:2010:20, C: 8:208:20.
     
  9. 29.
    A car travels 144 km in 2 hours. (a) Find the speed in km/h. (b) Convert to m/s.
     
  10. 30.
    A price of 80 chf is increased by 50% then decreased by 20%. What is the final price?
     
PlatinumQuestions 31–40
  1. 31.
    A long-sleeve shirt has 6 front buttons and 1 cuff buttons; a short-sleeve shirt has 4 front buttons and no cuff buttons. The factory uses 8 times as many front buttons as cuff buttons in total. Find the ratio of long-sleeve to short-sleeve shirts produced.
     
  2. 32.
    A price is increased by 50% and then decreased by 20%. Find the single percentage change equivalent to these two changes.
     
  3. 33.
    A jacket is reduced by 30% in a January sale, then by a further 10% in February. After both reductions it costs 63 chf. Find the original price.
     
  4. 34.
    In a class of 60 pupils, the ratio of pupils who walk to school to those who cycle is 4:14:1. 14\dfrac{1}{4} of the class take the bus and 5 pupils take the train. How many walk?
     
  5. 35.
    In a school the ratio of Year 7 : Year 8 : Year 9 is 7:6:57:6:5. Year 7 has 140 pupils. (a) How many pupils are in Year 9? (b) What percentage of the school is in Year 8? Give your answer to 1 d.p.
     
  6. 36.
    A car depreciates by 15% in its first year and by 10% each subsequent year. If the car cost £30000 new, find its value after 3 years (to nearest £).
     
  7. 37.
    Currency: 1 chf = 0.98 EUR. A shopkeeper charges 2% commission on euro purchases. If a tourist exchanges 300 chf, how many euros do they receive?
     
  8. 38.
    A 10-litre solution is 60% acid. How much pure water must be added to dilute it to 40% acid?
     
  9. 39.
    Three friends share an inheritance in the ratio 2:3:52:3:5. The eldest receives £1800 more than the youngest. Find each share.
     
  10. 40.
    Two prices fell by the same percentage. The first fell from £400 to £320; the second fell from £600 to xx. Find xx.