Ratios and linear functions

The Maths Habit

Each box is one cup. Which drink tastes different?

AsquashwaterBsquashwaterCsquashwater

C. Its water is only 2 times the squash. In A and B it is 3 times.

How many times as long as the x bar is the y bar?

xy4 times
xy2 times
xy5 times

Ratio
It compares two amounts.
1 : 3xy
Table of values
Each x with the y that goes with it.
x12
y36
Rule
It tells you how to work out y from x.
y = 3x3x means 3 × x

x : y = 1 : 4. Complete the table and the rule.

1Draw the bars.
xy
2Times each x.
x1235
y481220
×4
3Write the rule.
y = 4 x

x : y = 1 : 2. Complete the table and the rule.

1Draw the bars.
xy
2Times each x.
x13410
y26820
×2
3Write the rule.
y = 2 x

x : y = 1 : 4. Complete the table and the rule.

1Draw the bars.
xy
2Times each x.
x1235
y481220
×4
3Write the rule.
y = 4 x
1xy2x × number = y3y = number x

x : y = 1 : 5. Complete the table and the rule.

1Draw the bars.
xy
2Times each x.
x1246
y5102030
×5
3Write the rule.
y = 5 x

x : y = 1 : 4. Complete the table and the rule.

1Draw the bars.
xy
2Times each x.
x1235
y481220
×4
3Write the rule.
y = 4 x
1xy2x × number = y3y = number x

x : y = 1 : 10. Complete the table and the rule.

1Draw the bars.
xy
2Times each x.
x1358
y10305080
×10
3Write the rule.
y = 10 x

x : y = 1 : 4. Complete the table and the rule.

1Draw the bars.
xy
2Times each x.
x1235
y481220
×4
3Write the rule.
y = 4 x
1xy2x × number = y3y = number x

x : y = 1 : 3. Complete the table and the rule.

1Draw the bars.
xy
2Times each x.
x1469
y3121827
×3
3Write the rule.
y = 3 x

Ratios and linear functions worksheet, page 1

Ratios and linear functions worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. x : y = 1 : 4, so the rule is y = 4x

    Right

  2. x : y = 1 : 3, so the rule is y = x + 2

    Wrong: y is 3 times x

  3. x : y = 1 : 5, so when x = 2, y = 10

    Right

  4. y = 6x, so x : y = 6 : 1

    Wrong: the wrong way round

  5. x : y = 1 : 2, so when x = 5, y = 7

    Wrong: 5 × 2 = 10

  1. x : y = 2 : 5. Write the rule for y.

    y = 2.5x

  2. y = 1.5x. Write the ratio x : y in whole numbers.

    2 : 3

  3. Is the point (4, 12) on the line y = 3x? Explain.

    Yes: when x = 4, y = 12

  1. x : y = 1 : 3. Complete the table and the rule.

    y = 3x
    1Draw the bars.xy2Times each x.x1356y×3Write the rule.y =x

  2. x : y = 1 : 5. Complete the table and the rule.

    y = 5x
    1Draw the bars.xy2Times each x.x1346y×3Write the rule.y =x

  3. x : y = 1 : 4. Write the rule. Find y when x = 6.

    y = 4x, y = 24
Exit tickets to print