Part A — Fractions on the Wall
A fraction wall lines up halves, quarters and eighths so you can see when two fractions are equal and add or subtract them by matching pieces.
1
Use the fraction wall to write three fractions that are equal to ½.
2
Add these fractions. Use the wall to check each answer.
(a) ½ + ¼ =
(b) 3/8 + ¼ =
3
Subtract. Write each answer in its simplest form.
(a) 1 − 5/8 =
(b) ¾ − 1/8 =
4
Which is larger, 5/8 or ¾? Use the fraction wall to justify your answer.
5
A pizza is cut into eighths. Mia eats 3/8 and Sam eats ¼. What fraction of the pizza is left?
6
Prove it. Show, using the fraction wall, why 1/8 + 1/8 + 1/8 + 1/8 = ½.
Part B — Decimals, Fractions & Percentages
A hundredths grid has 100 small squares, so each shaded square is one hundredth: 0.01 = 1/100 = 1%. The same picture can be read as a decimal, a fraction or a percentage.
1
For each grid, write what is shaded as a decimal, a fraction (out of 100) and a percentage.
| Grid | Decimal | Fraction | Percentage |
|---|---|---|---|
| A | |||
| B | |||
| C |
2
Order the three shaded amounts from smallest to largest.
3
If you combined the shading from grid A and grid C onto one grid, what decimal would be shaded?
Answer:
4
How much more is shaded in grid A than in grid B? Give your answer as a decimal and as a percentage.
5
Complete these conversions.
(a) 0.4 = % = /10
(b) 0.25 = /4
6
Reasoning. Which grid shows a value equal to ¼? Explain how you know without measuring.