Ratio and proportion

1. Simplify 24:36 to its simplest whole-number form.

1. 2:3
2. 3:2
3. 4:9
4. 1:3

2. Simplify 15:25:35 to its simplest whole-number form.

1. 3:4:7
2. 5:3:7
3. 3:5:7
4. 1:5:7

3. Simplify the ratio 1.5 m:60 cm.

1. 1:40
2. 5:2
3. 2:5
4. 25:1

4. Simplify 0.6:1.5 to whole numbers in simplest form.

1. 5:2
2. 3:5
3. 2:3
4. 2:5

5. Simplify (1/2):(3/4) to whole numbers in simplest form.

1. 2:3
2. 1:3
3. 3:2
4. 3:4

6. A bag contains only red and blue counters in ratio red:blue = 3:5. What fraction of all counters is red?

1. 3/5
2. 5/8
3. 3/8
4. 5/3

7. MVR 72 is shared between Ali and Bina in ratio 5:3. How much does Ali receive?

1. MVR 27
2. MVR 45
3. MVR 40
4. MVR 48

8. Share 180 g between A, B and C in ratio 2:3:4. How much does C receive?

1. 40 g
2. 60 g
3. 90 g
4. 80 g

9. A:B = 4:7. If A = 28, what is B?

1. 49
2. 16
3. 44
4. 77

10. Small:large = 3:8 for two positive quantities. The large quantity is 64. What is their total?

1. 24
2. 72
3. 88
4. 96

11. Two lengths are in ratio longer:shorter = 5:2. Their difference is 21 cm. Find the longer length.

1. 14 cm
2. 35 cm
3. 49 cm
4. 52.5 cm

12. A recipe uses 240 g of rice for 6 equal servings. How much rice is needed for 15 equal servings?

1. 96 g
2. 360 g
3. 540 g
4. 600 g

13. A recipe uses 450 ml of milk for 9 equal servings. How much is needed for 4 equal servings?

1. 200 ml
2. 112.5 ml
3. 225 ml
4. 1 012.5 ml

14. Concentrate:water = 2:7. A drink contains only these ingredients and totals 1.8 litres. How much concentrate is used?

1. 0.2 litres
2. 0.7 litres
3. 0.4 litres
4. 1.4 litres

15. On a map of scale 1:25 000, a distance is 6 cm. What actual distance does this represent?

1. 0.15 km
2. 1.5 km
3. 15 km
4. 150 km

16. A real distance is 3 km. What is its length on a map with scale 1:50 000?

1. 0.6 cm
2. 1.5 cm
3. 15 cm
4. 6 cm

17. For the same-quality product with no extra charges, which pack has the lowest price per gram? A: 400 g for MVR 32; B: 750 g for MVR 54; C: 1 000 g for MVR 75; D: 250 g for MVR 20.

1. Pack A
2. Pack B
3. Pack C
4. Pack D

18. Five identical pens cost MVR 45 at a constant price per pen, with no extra charge. What do eight pens cost?

1. MVR 48
2. MVR 64
3. MVR 72
4. MVR 80

19. Which rule preserves the positive ratio 3:5 for every positive scale factor k?

1. Add k to both entries
2. Multiply only the first entry by k
3. Subtract k from both entries
4. Multiply both entries by k

20. A:B = 2:3 and B:C = 4:5. Find A:B:C in simplest whole-number form.

1. 8:12:15
2. 2:3:5
3. 8:3:15
4. 2:12:5

21. A necklace has only red and blue beads in ratio 2:3. There are 30 beads. If 6 red beads are added and no blue beads change, what is the new red:blue ratio in simplest form?

1. 2:1
2. 3:2
3. 1:1
4. 4:3

22. Two positive amounts are in ratio A:B = 4:9. B exceeds A by MVR 65. What is their combined total?

1. MVR 117
2. MVR 169
3. MVR 52
4. MVR 845

23. A delivery costs MVR 20 plus MVR 8 per item. What is the total cost for five items?

1. MVR 40
2. MVR 100
3. MVR 140
4. MVR 60

24. Can 35 indivisible counters be split exactly into two groups in ratio 3:5, with none left over?

1. No; one ratio part would be 35/8 counters
2. Yes; use 15 and 20 counters
3. Yes; use 3 and 32 counters
4. Yes; use 13 and 22 counters