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Step-by-step practice: Maths · Level 3Chapter 9 · Length and mass
Step-by-step Maths Level 3 · Length and mass · Lesson 9.2

Step-by-step Maths Level 3: Measuring with a ruler and reading a scale

Part of the Step-by-step Maths Level 3 length and mass chapter. Chapter overview · whole chapter on one page

9.2

Measuring with a ruler and reading a scale

Level 3
Measure a length to the nearest centimetre with a ruler, Read a scale to the nearest mark

To measure with a ruler, put the 0 at the start of the line. Read the number where the line ends.

On a scale, find the label before the pointer, then count the small marks.

0123456789101112131415
The line is 7 cm long, because it goes from 0 to 7.

Key ideas

  • Line up the 0 with the start.
  • Read the end of the line.
  • On a scale, count the small marks from the label.
Worked example 9.2.1
Use the ruler. How long is the orange line, in centimetres?

Method. Use the ruler: find the start and the end of the line, then the difference.

  1. Put the 0 at the start of the line. Line up the ruler so the line begins at 0.
    0 cm
  2. Read where the line ends. The end of the line is on this number.
    The end is at 7
  3. Write the length. The length is the end number, because we started at 0.
    7 cm

Check. Count the centimetres from 0 to 7: 7 cm.

Watch out. Put the 0 of the ruler at the start of the line, then read the end.

Worked example 9.2.2
The line starts at 2 cm and ends at 7 cm on the ruler. How long is it?

Method. Use the ruler: find the start and the end of the line, then the difference.

  1. Find where the line starts. The line starts at this mark.
    start = 2 cm
  2. Find where the line ends. The line ends at this mark.
    end = 7 cm
  3. Subtract the start from the end. The length is the distance between the two marks.
    7 - 2 = 5
  4. Write the length. This is how long the line is.
    5 cm

Check. Add the length to the start: 2 + 5 = 7 cm.

Watch out. Put the 0 of the ruler at the start of the line, then read the end.

Worked example 9.2.3
Read the pointer on the scale. How many grams does it show?

Method. Find the label before the pointer, then count the small marks.

  1. Find the labels on the scale. The labels show every 100 g.
    0 g, 100 g, 200 g
  2. Count the marks from the label before. Each small mark is 50 g.
    the pointer is 350 g
  3. Write the reading. This is what the scale shows.
    350 g

Check. 350 g is between two labels, halfway or on a label.

Watch out. Each small mark is 50 g. Count them carefully.

Watch out

Watch out. Do not start measuring at 1. Start at the 0 mark, or subtract the start from the end.

Exam tip

Grown-up tip. Use a real ruler and a book. Ask the child to measure things at home, and to say the length in cm.

Exercise 9B  Practice: measuring and reading

Non-calculator
1
FThe line starts at 5 cm and ends at 11 cm on the ruler. How long is it?
0123456789101112131415
2
FUse the ruler. How long is the orange line, in centimetres?
0123456789101112131415
3
FThe line starts at 3 cm and ends at 8 cm on the ruler. How long is it?
0123456789101112131415
4
FThe line starts at 6 cm and ends at 9 cm on the ruler. How long is it?
0123456789101112131415
5
FThe line starts at 1 cm and ends at 4 cm on the ruler. How long is it?
0123456789101112131415
6
FThe line starts at 1 cm and ends at 5 cm on the ruler. How long is it?
0123456789101112131415
7
FUse the ruler. How long is the orange line, in centimetres?
0123456789101112131415
8
FUse the ruler. How long is the orange line, in centimetres?
0123456789101112131415
9
FRead the pointer on the scale. How many grams does it show?
01002003004005006007008009001000
10
FRead the pointer on the scale. How many grams does it show?
01002003004005006007008009001000
11
FRead the pointer on the scale. How many grams does it show?
01002003004005006007008009001000
12
FRead the pointer on the scale. How many grams does it show?
01002003004005006007008009001000
13
FRead the pointer on the scale. How many grams does it show?
01002003004005006007008009001000
14
FRead the pointer on the scale. How many grams does it show?
01002003004005006007008009001000
15
FRead the pointer on the scale. How many grams does it show?
01002003004005006007008009001000
16
FRead the pointer on the scale. How many grams does it show?
01002003004005006007008009001000

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