Example 1 · level 1 — a gentle start
What fraction of the bar is shaded?
2 equal parts
- 1/3
- 2/2
- 1/2
- 2/1
Answer: 1/2 — 1 of the 2 equal parts are shaded, so 1/2.
Fractions comes up in the maths paper of every major 11+ format. Here is what the questions look like, the method that works under time pressure, and five worked examples with the full reasoning, from a gentle start to a hard paper.
Maths · examined by GL and CEM · 5 worked examples
Where marks get lost: The top number (numerator) is how many are shaded. Here: 3 out of 4 = 3/4.
Every question below is generated by the same engine your child practises on, and every answer is derived by our checker rather than written by hand — which is why we can put them on a public page at all.
Example 1 · level 1 — a gentle start
What fraction of the bar is shaded?
2 equal parts
Answer: 1/2 — 1 of the 2 equal parts are shaded, so 1/2.
Example 2 · level 2 — typical of early practice
What fraction of the bar is NOT shaded?
8 equal parts
Answer: 5/8 — 5 of the 8 equal parts are left unshaded, so 5/8.
Example 3 · level 3 — standard paper difficulty
What fraction of the bar is shaded?
8 equal parts
Answer: 5/8 — 5 of the 8 equal parts are shaded, so 5/8.
Example 4 · level 4 — a harder paper
What fraction of the bar is shaded?
14 equal parts
Answer: 13/14 — 13 of the 14 equal parts are shaded, so 13/14.
Example 5 · level 5 — the level that separates candidates
What fraction of the bar is NOT shaded?
7 equal parts
Answer: 4/7 — 4 of the 7 equal parts are left unshaded, so 4/7.
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