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All questions of Ratio and Proportion for Year 8 Exam
The ratio of two bags of flour is 3 : 4. If the smaller bag holds 900 g of flour, how much does the larger bag hold?- a)1,000 g
- b)1,100 g
- c)1,200 g
- d)1,300 g
Correct answer is option 'C'. Can you explain this answer?
a)
1,000 g
b)
1,100 g
c)
1,200 g
d)
1,300 g
 | Torcia Education answered |
A ratio such as 3:4 means 3/7 of one thing and 4/7 of another thing. The 7 comes from adding 3 and 4. The ratio 3:4 can also be written as a fraction 3/4 for calculations. In this case 900/x = 3/4 where x is the big bag of flour: so x = (4 x 900)/3. Use this method when dealing with ratios
A road map is drawn to a scale of 1 cm = 8 km. A distance of 6.5 cm on the map represents how many kilometres of the road?- a)52 km
- b)56 km
- c)65 km
- d)81 km
Correct answer is option 'A'. Can you explain this answer?
a)
52 km
b)
56 km
c)
65 km
d)
81 km
| | Torcia Education answered |
The ratio for a 1cm = 8km scale is 1 : 800,000!
Divide £85 in the ratio 1 : 4.- a)£17 : £68
- b)£23 : £62
- c)£40 : £45
- d)£60 : £25
Correct answer is option 'A'. Can you explain this answer?
a)
£17 : £68
b)
£23 : £62
c)
£40 : £45
d)
£60 : £25
| | Torcia Education answered |
Remember the two numbers must total £85
What is 12 kg : 4,800 g in its simplest form?- a)5 : 2
- b)6 : 3
- c)7 : 4
- d)8 : 5
Correct answer is option 'A'. Can you explain this answer?
a)
5 : 2
b)
6 : 3
c)
7 : 4
d)
8 : 5
| | Torcia Education answered |
It may be easier to first convert 12kg into 12,000g
15 pints of milk cost £7.80. What is the cost of 22 pints of milk?- a)£10.80
- b)£11.44
- c)£14.44
- d)£15.03
Correct answer is option 'B'. Can you explain this answer?
a)
£10.80
b)
£11.44
c)
£14.44
d)
£15.03
| | Torcia Education answered |
15 : 22 is roughly 2 : 3. £7.80 ÷ 2 = £3.90 so you know your answer will be approximately £3.90 x 3 = £11.70
Divide 240 litres in the ratio 3 : 5.- a)50 : 150
- b)80 : 140
- c)90 : 150
- d)90 : 170
Correct answer is option 'C'. Can you explain this answer?
a)
50 : 150
b)
80 : 140
c)
90 : 150
d)
90 : 170
| | Torcia Education answered |
3 + 5 = 8 so first divide 240 litres by 8 then multiply by both 3 and 5
What is 150 cm : 4 m in its simplest form?- a)2 : 7
- b)3 : 8
- c)4 : 9
- d)5 : 9
Correct answer is option 'B'. Can you explain this answer?
a)
2 : 7
b)
3 : 8
c)
4 : 9
d)
5 : 9
| | Torcia Education answered |
The common factor is 50 cm. There are 3 x 50 cm in 150 cm and there are 8 x 50 cm in 4 m
Simplify the ratio 8:12.- a)1:2
- b)2:3
- c)3:4
- d)4:5
Correct answer is option 'B'. Can you explain this answer?
Simplify the ratio 8:12.
a)
1:2
b)
2:3
c)
3:4
d)
4:5
| | Torcia Education answered |
To simplify the ratio, divide both parts by their greatest common factor, which is 4.
So, 8 ÷ 4 = 2 and 12 ÷ 4 = 3, giving the simplified ratio 2:3.
So, 8 ÷ 4 = 2 and 12 ÷ 4 = 3, giving the simplified ratio 2:3.
In a classroom, the ratio of boys to girls is 3:4. If there are 12 boys, how many girls are there?- a)12
- b)15
- c)16
- d)18
Correct answer is option 'C'. Can you explain this answer?
In a classroom, the ratio of boys to girls is 3:4. If there are 12 boys, how many girls are there?
a)
12
b)
15
c)
16
d)
18
| | Torcia Education answered |
The ratio 3:4 means for every 3 boys, there are 4 girls.
Since there are 12 boys, we set up the proportion 3/4 = 12/x.
Cross-multiplying gives 3x = 48, so x = 16.
Since there are 12 boys, we set up the proportion 3/4 = 12/x.
Cross-multiplying gives 3x = 48, so x = 16.
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