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Answer Guide — Mapping the Hollow (A2): Worked Solutions

Teacher answer guide for the summative assessment "Mapping the Hollow: Measurement, Shape & Data" (A2). Full worked solutions and explanations for all 10 questions across fractions/decimals, measurement/time, shape/angles and data/chance, each illustrated with an animated SVG that shows the concept and the solution together. Maps answers to the marking criteria. For teacher use.

Ollie the wise owl.

Teacher answer guide for Mapping the Hollow (A2). Each question shows the expected answer, the working, the reasoning to look for, and an animation that builds the solution. On-screen the diagrams animate; in print they show the finished state.

Part A — Fair shares (fractions & decimals)

1. Colour three-quarters; write the fraction.

Answer: 3/4 (three of the four equal parts shaded).

3 of 4 quarters shaded = 3/4

2. A fraction equal to 1/2; and 3/10 as a decimal.

Answer: any equivalent such as 2/4, 3/6 or 5/10; and 3/10 = 0.3.

1/2 same shaded length = 2/4 3/10 = 0.3

3. Mark 1 1/2 on a number line from 0 to 3.

Answer: the point sits exactly halfway between 1 and 2.

0 1 2 3 1 1/2

Part B — Measuring the bush (measurement & time)

4. 1 m 35 cm in centimetres.

Answer: 135 cm  (100 + 35).

1 m = 100 cm + 35 cm 100 + 35 = 135 cm

5. Duration from 9:15 am to 10:05 am.

Answer: 50 minutes  (45 min to 10:00, then 5 more).

9:15 10:00 10:05 +45 min +5 45 + 5 = 50 minutes

6. Estimate the leaf's area in square units.

Answer: about 9 square units (accept 8–10). Count squares that are at least half covered as one.

1 2 3 4 5 6 7 8 9 about 9 squares

Part C — Looking closely (shape & angles)

7. A square split along its diagonal.

Answer: two triangles (two right-angled triangles, equal in size).

two triangles a square split on its diagonal

8. Tick the angle smaller than a right angle; sketch one bigger.

Answer: the acute (middle) angle is smaller than a right angle; a correct "bigger" sketch is any obtuse angle (opening wider than a square corner).

right smaller ✓ bigger

Part D — Counting the Hollow (data & chance)

9. Column graph: frogs 8, lizards 6, birds 10 (each square = 2).

Answer: columns of height 4, 3 and 5 squares respectively; labelled axes and a title.

04812 Frogs 8Liz. 6Birds 10 Creatures by the creek

10. 9 brown, 1 green — is green likely or unlikely? Explain.

Answer: unlikely. There is only 1 green out of 10, so there are far more brown than green — you are much more likely to pull a brown one.

9 brown, 1 green green is UNLIKELY