MFM 1P1
Ratios and Proportions Review
1. Colour the grid below so that the ratio of red boxes to orange boxes is 2:5
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Fraction of the total boxes that are orange =
Fraction of the total boxes that are red =
2. Colour [pic] of the boxes blue and the rest green.
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State the following ratios. blue boxes : green boxes =
green boxes : total boxes =
3. The ratio of blue boxes to yellow boxes to red boxes is 2:4:1
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Fraction of the total boxes that are blue =
Fraction of the total boxes that are red =
4. Colour [pic] of the boxes black, [pic]of the boxes red and the rest green.
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State the following ratios. green boxes : red boxes : black boxes =
black boxes : red boxes : total boxes =
red : total =
Metric System
Distance mm.…cm………………m……………………km
Mass mg.……..………………g………………….…kg
Capacity mL.…………………….L………………….…kL
5. Complete the following conversions.
(a) 350 mm = ____________ m (b) 12 cm = ____________ mm
(c) 7500 mL = ____________ L (d) 1500 mm = ____________ m
(e) 3500 mg = ____________ g (f) 4 kg = ____________ g
(g) 95 kL = ____________ L (h) 50 cm = ____________ mm
(i) 6.7 L = ____________ mL (j) 3.5 kg = ____________ g
6. Express each of the following ratios in simplest form.
(a) 10 : 5 (b) 4 : 12 (c) 9 : 12
(d) 2 : 8 : 6 (e) 15 : 5 : 25 (f) 16 : 12 : 20
7. Express each of the following ratios with the same units in simplest form.
(a) 10 m : 30 m (b) 2 kg : 1 g (c) $2 : 30 cents
(d) 20 mm : 10 cm (e) 1 kL : 5 L (f) 5 kg : 15 g
(g) 20 min : 2h (h) 2 days : 12 hours (i) 90 cents : $3
(j) 15 min : 2 h (k) 10 s : 1 min (l) 100 m : 1 km
8. Solve the following proportions.
(a) [pic] (b) [pic] (c) [pic]
(d) [pic] (e) [pic]
(f) [pic] (g) [pic]
9. The ratio of red smarties to green smarties in a box is in the ratio 9:2. If there are 36 red smarties in the box, how many green smarties are in the box? Show a complete solution.
10. The ratio of red smarties to green smarties in a box is in the ratio 7:5 If there are 96 smarties in the box, how many red smarties are in the box? Show a complete solution.
11. Five buses are needed to take eight softball teams from a hotel to the tournament diamonds. How many buses are needed for 15 teams? Show a complete solution.
12. The ratio of girls to boys in grade nine is 5:6. If there are 231 grade nine students, how many of the students are boys and how many are girls?
13. There are 14 red smarties, 20 brown smarties and 16 green smarties in a box.
(a) State the ratio of (i) green : red = ____________________
(ii) brown : total = ____________________
(b) State the fraction (i) of the smarties that are green _____________
(ii) of the smarties that are red _____________
(c) State the percent (i) of the smarties that are red _____________
(ii) of the smarties that are brown _____________
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100
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10
1000
1000
1000
1000
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