Chapter 6 Practice Paper: Congruence and Similarity — mark scheme (print)

QuizQuipPractice Series

QQ/S2MATH/CH6

Secondary 2 · Lower Secondary Mathematics (G2 / G3)

Mark scheme

Congruence and Similarity

Chapter 6 Practice Paper · Maximum mark: 30

Notes for markers

Award one mark for each point marked [1], up to the marks shown for the part.
Accept answers worded differently that show the same understanding.
Units are required where the answer line shows one. ecf: allow an error carried forward.

Section A: Multiple-choice questions[10 marks]

Question	Answer
1	BCongruence fixes every corresponding side and angle; orientation is irrelevant.	1
2	CReflection preserves size and shape, so the pair is congruent.	1
3	ASimilarity keeps angles equal; only the sides scale.	1
4	D13 × 4 = 52.	1
5	BScale factor = 21 ÷ 7 = 3.	1
6	C5 × 20 000 cm = 100 000 cm = 1 km.	1
7	ABoth pairs agree: 4.5 ÷ 3 = 1.5 and 12 ÷ 8 = 1.5.	1
8	DPerimeters scale like sides: 20 × 7/2 = 70 cm.	1
9	B12 000 cm ÷ 50 = 240 cm = 2.4 m.	1
10	CFactors below 1 shrink; angles are unchanged.	1

Section B: Structured questions[20 marks]

Question	Answer and marking points	Marks
1(a)	270 ÷ 90 = 3 [1]	1
1(b)	40 × 3 = 120 cm [1]	1
1(c)	No: 270 cm is longer than the 250 cm board, so it overhangs by 20 cm. Compares 270 with 250 [1] Conclusion: does not fit [1]	2
1(d)	2 (giving 80 cm by 180 cm, which fits; 3 does not) 2 with justification [1]	1
	Total for Question 1	5
2(a)	10 ÷ 4 = 2.5 [1]	1
2(b)	6 × 2.5 = 15 cm [1]	1
2(c)	8 × 2.5 = 20 cm [1]	1
2(d)	10 + 15 + 20 = 45 cm. Adds the three sides [1] 45 cm [1]	2
	Total for Question 2	5
3(a)	4.6 × 50 000 = 230 000 cm = 2.3 km. Multiplies by 50 000 [1] 2.3 km [1]	2
3(b)	6.8 km = 680 000 cm, and 680 000 ÷ 50 000 = 13.6 cm. Converts km to cm [1] 13.6 cm [1]	2
3(c)	20 km would need 2 000 000 ÷ 5 000 = 400 cm = 4 m of paper — far larger than a sheet. Shows the enormous map length [1]	1
	Total for Question 3	5
4(a)	240 cm ÷ 12 = 20 cm. Converts 2.4 m to 240 cm [1] 20 cm [1]	2
4(b)	6 × 12 = 72 cm [1]	1
4(c)	240 ÷ 8 = 30 cm. Divides by the new factor 8 [1] 30 cm [1]	2
	Total for Question 4	5

— End of mark scheme —