Ratios and linear functions

The Maths Habit

Write a ratio that is
equal to 2 : 5.
Now find another.

4 : 10

20 : 50

1 : 2.5

x : y = 2 : 5

x	2	4	6	10
y

x : y = 1 : 9. Write the rule. Find y when x = 10.

y is always the same number of times x

x

y

x	1	2	5	10
y	9	18	45	90

y =9x

x : y = 2 : 7. Write the rule. Find y when x = 8.

x

y

x	2	4	6	8
y	7	14	21	28

y =3.5x

x : y = 1 : 9. Write the rule. Find y when x = 10.

y is always the same number of times x

x

y

x	1	2	5	10
y	9	18	45	90

y =9x

x : y = 4 : 5. Write the rule. Find y when x = 12.

x

y

x	4	8	12	20
y	5	10	15	25

y =1.25x

x : y = 1 : 9. Write the rule. Find y when x = 10.

y is always the same number of times x

x

y

x	1	2	5	10
y	9	18	45	90

y =9x

x : y = 5 : 2. Write the rule. Find y when x = 15.

x

y

x	5	10	15	25
y	2	4	6	10

y =0.4x

x : y = 1 : 9. Write the rule. Find y when x = 10.

y is always the same number of times x

x

y

x	1	2	5	10
y	9	18	45	90

y =9x

x : y = 2 : 9. Write the rule. Find y when x = 6.

x

y

x	2	4	6	10
y	9	18	27	45

y =4.5x

x : y = 1 : 9. Write the rule. Find y when x = 10.

y is always the same number of times x

x

y

x	1	2	5	10
y	9	18	45	90

y =9x

x : y = 5 : 8. Write the rule. Find y when x = 30.

x

y

x	5	10	15	30
y	8	16	24	48

y =1.6x

Ratios and linear functions worksheet, page 1

Answer sheet

The ratio of boys to girls in a club is 3 : 4. Write a rule for the number of girls, g, in terms of the number of boys, b.
g = 43b
The line y = 1.5x is drawn on a grid. Which of these points are on it: (4, 6), (6, 4), (10, 15)?
(4, 6), (10, 15)
In a recipe, the mass of sugar, y grams, and the mass of flour, x grams, follow the rule y = 0.6x. Write the ratio x : y in whole numbers.
5 : 3

x : y = 2 : 7. Write the rule for y in terms of x.
y = 3.5x
y = 0.75x. Write the ratio x : y in whole numbers.
4 : 3
x : y = 2 : 3. Is the point (8, 13) on the line? Explain.
No: when x = 8, y = 12

Exit tickets to print