Mathematics Assessment (CfE) - Level 2 ANSWERSLevel+2+Answers.pdf · Mathematics Assessment (CfE) - Level 2 ANSWERS MNU 2-01a ... 1. a tape measure b odometer ... 8. 2 circular face,

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Mathematics Assessment (CfE) - Level 2

ANSWERS

MNU 2-01a

1. a 70 b 350 c 3460 d 14700

2. a 200 b 600c 1300 d 3000

3. a 2000 b 19 000c 420 000 d 870 000

4. a 480 + 110 = 590b 3600 - 1400 = 2200c 19000 + 9000 = 28 000

5. a 24 000 b 20006. 42007. a 72 000 b 11 0008. 7 700 000

MNU 2-02a

1. a 104 b 2601c 1 200 000 d 4 000 040e 2 310 659

2. a three thousand four hundred and twob eighteen thousand and sixc one hundred and thirty two thousand, five

hundredd two million, six hundred and seventy five

thousand and twenty3. a 700 b 70

c 7 hundredths d 7 tenthse 7 thousandths f 7000g 70000 h 7 million

4. a 5469 b 871 000c 899 999 d 695e 7900 f 19 900

5. 8532, 9456, 9999, 11 111, 11 175, 12 3766. 1·05, 1·009, 0·95, 0·899, 0·099, 0·0905 7. a 15·9 b 8·22

c 0·388. a 1250 b 0·65

c 88 000 d 750 000

MNU 2-03a

1. a 13916 b 10500c 14528 d 173443e 7160 f 17121

1. g 643248 h 3469 i 12178390

2. a 2300 b 17200c 432000 d 430e 3200 f 400

3. a 2640 b 11500c 1212000 d 660e 93 f 28

4. a 8572 b 12125. a 80 km b 1080

c 2400 d 1425e 750

6. a 53206 b 100918 c 2688 d 35292e 763 f 206g 864000 h 3469i 1217839

7. a 384 b 148. a 25920 b 509. a 200000 b £264610. 8611. £75000 - £72000 = £3000 per tractor12. 57 and 58

MNU 2-03b/c

1. a 7·9 b 30·2c 6·98 d 30·12

2. a 68 b 43. a 6·8 b 12·94. a 51·25 b 4·005. a 10·3 b 7·91

c 17·46 d 85·92e 22·2 f 33·12g 35·3 h 6·385

6. a 36·2 b 1487·3c 4700 d 0·872e 1·421 f 0·00109g 840 h 0·12

7. a Jill - £11, Jason - £10·30, Ali - £11·35b £32·65

8. a 14 b 3c 13 d 16

9. a 10·85 m b 2·15 mc 1·18 m d 15 m

©TeeJay Publishers Jan 2011 Page 2 Level 2 ANSWERS

10. a £1012·50 b £16·75c 9 p

11. £4·3212. £1950013. 11059214. a 17 b 0

c 36 d 19

MNU 2-04a

1. a 4°C b –4°Cc –14°C

2. a 53 or 54 b 36 or 35 BC3. a –£35 b –£115

c +£204. a –2 b 5

c 2 d –2e –20 f –173

5. a –5 b –14c 0 d –5e –1 f –20

MNU 2-05a

1. a

b 5, 10, 15, 20 c 502. a 24, 28 b 55, 66

c 16, 8 d 3, 1/3

e 320000, 6400000f 1000, 100

3. a 24, 36 b 76, 114c 108, 72 d 384, 96, 6

4. a 2, 4, 6, 8, 10, 12b 5, 10, 15, 20, 25, 30c 10, 20, 30, 40, 50, 60d 150, 300, 450, 600, 750, 900

5. a 2, 3b 2, 3, 5, 6c 2, 3, 6, 7d 2, 3, 5, 6, 9

6. a 1, 2, 4, 8 b 1, 29c 1, 2, 4, 5, 10, 20, 25, 50, 100d 1, 2, 3, 4, 6, 9, 12, 18, 36

7. They all have exactly 2 factors - 1 and the number itselfThey are all Prime Numbers

MNU 2-07a

1. a 23

b 58

c 79

2. 3.

4. a 712

b 512

5. a 1112

b 411

c 712

6. a 30% b 75%7. 75%8. a 35 squares b 80 squares

c 40 squares9. 16 circles shaded10.

1130

11. a 38

b 57%

c 0·25

MNU 2-07b

1. a 28, 3

12b

610

, 915

c 1420

, 2130

d 2240

, 3360

2. a 16

b 35

c 59

d 13

3. a £18 b 49 cmc 45 litres d 63 kg

4. a 14

b 910

c 35

d 720

5. a 0·20 b 0·75c 0·05 d 0·01

6. a 40% b 55%c 20% d 70%

7. 0·3, 35%, 25

8. 75%9. a 80 b 2010. 3511. 875 metres

©TeeJay Publishers Jan 2011 Page 3 Level 2 ANSWERS

MNU 2-07c

1. a 35

b 23

c 27

d 58

2. a 45

b 920

c

125

d 340

3. a 70% b 60%c 66·666.. % d 12·5%

4. a £123 b 80pc 1809 g d 121 ml

5. a 36p b 41 kgc 9p d £28

6. 35, 2

3, 7

10, 5

6

7. a 560 b 34408. 40%9. a 70% b 76%

c 45% d 37·5%10. a 35p b 272 kg

c 11p d 48 m11. a

49

b 0·423

12. 62·5% and 65% - Did better in primary seven13. a 51 b 1714. £610·5015. £150 million

MNU 2-09a

1. £35·49 = £20, £10, £5, 20p, 20p, 5p, 2p, 2p.2. a £84·75 b £22·37

c £238·56 d £21·853. £4·314. Yes with 1p to spare5. £12·306. £4·20 - £3·78 = 42p7. Small = 76p/100g, big = 75p/100g - (large)8. €7209. £10010. a €46 b £4011. £2·50/10 or £2·75/10 - Temoc Electrics12. 83p each13. Des - £24462, Donnie - £21623·68

Des earns £2838·32 more14. a £23·82 b £1·1815. a £671·25

b 15 books free - save £134·25

MNU 2-09b

1.

MNU 2-09c

1. Loss of £162. £117353. £154. £24·015. 1p6. a 80 b £487. £675

MNU 2-10a 1. a two minutes to eight in the morning

b seventeen minutes to nine at night2. 1.47 pm3. a 0425 b 1742

c 2257 d 20014. a 4.50 am b 1.20 pm

c 9.06 pm d 11.59 pm5. a 1.46 pm b 9 minutes

c 1511 d 3.48 pme 1618

6. a Real Rescuesb Hairy Biker’s cook-offc (i) 1 hr 5 mins (ii) 4 hoursd 7.10 pm

7. a 14:40 b 4 hr 15 minsc 1 hr 10 mins d 21:50

MNU 2-10b

1. a 53 secs b 23 secsc 1 min 13 secs d 28 mins 59 secs

2. a 1 min 30 secs b 2 mins 35 secsc 3 mins 15 secs d 5 mins 50 secs

3. a 1 hr 15 mins b 2 hr 10 minsc 3 hr 25 mins d 5 hr 2 mins

4. 1 min 28·4 sec5. a 7 mins 15 secs b 1 min 40 secs6. a 11 mins 3 secs b 1 min 53 secs7. a Linford b 1·56 secs

c 3 mins 45·47 secs

MNU 2-10c

1. 2 hr 55 mins2. 10.33 pm

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3. a 10 past 12 Tuesday morningb 20 to midnight Thursday night

4. a 2.35 am b 8.05 am5. a 1800 miles b 170 km/hr

c 6 hours6. 54 miles7. 120 metres per hour

MNU 2-11a

1. a tape measure b odometer2. a about 3 cm b about 12 cm3. about 6 cm4. about 12 cm5. about 4 cm6. 16 - 18 sq cm7. push mower, sit on mower, tractor, harvester

MNU 2-11b

1. a 162 mm b 16·2 cmc 16 cm 2 mm

2. See rectangle 6·5 cm by 2 cm3. a 500 cm b 850 cm

c 20·5 m d 80 km4. 9 m 75 cm5. 4·75 m, 480 cm, 4m 90 cm, 0·005 km6. 3 metres7. 20 pots8. a 3000 g b 52000 g

c 1400 g d 6005 g9. a 9 kg b 50 kg

c 4·2 kg d 0·15 kg10. 4 kg 300 g11. 1300 ml12. a 5 litres b 12 litres

c 0·4 litre13. a 6000 ml b 70000 ml

c 5100 ml14. 8 days15. 460 ml16. 1·89 km or 1890 metres

MNU 2-11c

1. 12 boxes2. a 120 mm2 b 40 cm2

3. 92 m4. 16 cm3

5. 50 m6. 110 metres x £2·50 = £275

7. a 3 cm and 6 cm b 52 cm8. 30 cm3

9. 6 cm10. 6·4 litres11. 4000 cm3

MNU 2-12a

MNU 2-13a

1. a 23, 28 b 1000, 500c 46, 56 d 23, 37

2. a 49, 64, 81 b 153. a 14, 21, 28, 35, ....70

b 7 c T = 7 x Cd £210

4. a G = 120 x M b E = 1·15 x P 5. a See sketch with 4 tables and 13 chairs

b 4, 7, 10, 13, ....25c B = 3 x T + 1 d 61

6. a A = 50 x T + 10 b H = 6 x T – 47. a 196 b 15

MNU 2-15a

1. a 1 b 62. a x b 450

c x and +3. a 13 b 7

c 7 d 4·5e 24 f 20

4. a t – 25 = 75 b t = 1005. 2c + 8 = 22 => c = November Sales = 76. a < b >

c <7. P < 1208. a {–1, 0, 1, 2, 3} b {–4}

c {–4, –3, –2, –1, 0, 1} d {–1, 0, 1, 2, 3}9. a x > 5 b x < 19

c x ≤ 9 d x ≥ 10

MNU 2-16a

1. a rhombus b trapeziumc parallogram

2. a hexagon b octagonc decagon

3. a b*

* *

** *

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c

4. a 5 b 95. a 5 b 86. a 6 x squares

b 4 isosceles triangles + 1 squarec 2 circles + 1 rectangle (curved)

7. a rhombus b sphere8. 2 circular face, parallel faces, 1 curved edge9. cube, cuboid, cylinder, cone, hemi-sphere

MNU 2-16b1. A yes B no

C yes D yes2. a cuboid b triangular prism

c cone3. a with dimensions b with dimensions

c withdimensions

4. a b

c

5. a sphere

MNU 2-16c

1. a/b/c/ see rectangle, isosceles triangle and parallelogram

2. a/b/c see cube, cylinder and cone3. a/b/c see cuboid, triangular prism and

square based pyramid

MNU 2-17a

1. a obtuse b straight

c acute d righte reflex f obtuse

2. a see sketch b 4 right anglesc 7 acute angles d 3 obtuse anglese 5 reflex angles (round the outside)

3. a 2 b 11c 5 d 8

4. a b

c d

5. right6. a obtuse b acute

c obtuse

MNU 2-17b

1. a 45° (± 2°) b 105° (± 2°)c 75° (± 2°) d 18° (± 2°)e 163° (± 2°) f 223° (± 2°)

2. Check angles measure :-a 70° (± 2°) b 140° (± 2°)c 23° (± 2°) d 118° (± 2°)e 180° f 210° (± 2°)

3. a 28° b 71°c 81° (sum of 3 angles = 180° (± 4°))

4. See accurate drawings of the triangles.There should be an indication of instruments used in the construction.

MTH 2-17c

1. a

2. a 90° b 45°c 180°

3. a NE b NEc NW d We 135°

4. a 30 km b 10 km5.

NNW NE

SW SE

EW

S

5 cm

4 cm 3 cm

135°

90°

©TeeJay Publishers Jan 2011 Page 6 Level 2 ANSWERS

6. a 055° (± 2°) b 135° (± 2°)c 245° (± 2°) d 317° (± 2°)

MTH 2-17d

1. a 7 cm by 3·5 cm b 14 m by 7m2. 90 km3. a b

4. a figure is far too smallb 1 cm = 10 m or 1 cm = 20 mc figure is larger and clearer

5. a see drawingb height = 15 cm = 45 metres

MTH 2-18a

1. A(2, 3), B(3, 1), C(0, 2)2. a (i) (5, 4) (ii) (2, 1)

(iii) (4, 0) (iv) (4, 2)b tiger c moused (i) D (ii) Ce dog and pig

3.

4. a/b c H(3, 7)

5. P(5, –2) is 5 along the x - axis and 2 down.

4 cm

15 cm8 cm

3 cm

8 cm

15 cm

62°

y

x1 2 3 40

1

2

3

4

XA

X

X

B

C

5

XD

y

x0

XG

X

X

E

H

X F

MNU 2-19a

1. a b

c d

e f

2. a b

c d

e f

MTH 2-20a

1. a Lime - 80, Peach - 60, Orange - 100Apple - 120, Natural - 130

b 70 c 4902. a 8 am & 2 pm b Daisy at 8pm

c 2·5° d 6am - 8ame Geena - 4 hr and Daisy - 2 hour

Geena longer by 2 hours3. a 1

10

b (i) 15 (ii) 310 (iii) 25

c (i) 20 (ii) 40 (iii) 60 (iv) 804. a The vertical scale does not start at 0

b Show the full vertical scalec

Month

AverageHouse Price

(£1000)75

0

150

January February

©TeeJay Publishers Jan 2011 Page 7 Level 2 ANSWERS

3. a 112

b 12

c 1112

d 34

e 13

f 12

4. a 110

b 5 limes - 45 lemons5. a

34

b 623

6. 0·2

Diagnostic1. a 8000 b 300002. 6500 + 2400 = 89003. a 9300 b 189004. nine hundred and three thousand and seventy5. a 4360 b 24582

c 8211 d 73496. a 22064 b 120640

c 1379 d 146937. 839 grams 8. a 379 b 5·23

c 0·489. a 235600 b 230

c 492000 d 413010. 4011. a 20 b 8·0

c 5·0012. a 22·57 b 85·93

c 48·42 d 15·63513. 23825·1 b 0·19814. a 4 b 2415. –22°16. a –2 b 8

c –2 d –1717. a 24, 27 b 37, 29

c –3, –7 d 81, 24318. (0) 7, 14, 21, 28, 35, 4219. 1, 2, 3, 4, 6, 8, 12, 2420. 11, 13, 17, 19, 23, 2921.

14

22. 513

23. 64%24. 25%25.

1416

or any other equivalent fraction

26. 47

5. Vertical scale is not properly spacedShould go 5, 10, 15, 20, 25, 30 etc...There are no labels on the graph.

MTH 2-20b

Teacher to assess survey and grade it dependenton effort, accuracy, thoroughness and presentation.

MTH 2-21a

1. a sprouts - 3, cabbage - 9, Lettuce - 7Carrot - 11, Beetroot - 2

b 32 c see bar graph

2. Sunday

Monday

Tuesday

Wednesday

Thursday

3.

4. a (i) 50% (ii) 5% (iii) 25% (iv) 12·5%b

MTH 2-22a

1. a impossible b evensc likely

2. a 112

b 14

c 23

d 0

football

canteensquash

badminton

swimming

Mon Tue Wed Thu Fri Sat Sun0

100

200

300

400

500

Day of the Week

Num

ber

COLD and FLU

cold flu

©TeeJay Publishers Jan 2011 Page 8 Level 2 ANSWERS

27. £3·0028. 70%, 0·65,

35

29. 35100

= 720

30. 60p31. 80%32. Total bill = £43·75 - not enough for coffee

Only £1·25 change - needs £1·5033. Small - 16p each. Large - 15 p each. - Large34. 480 euros35. £125 profit36. 8.48 pm37. 3 minutes 25 seconds38. 10 minutes 20 seconds39. Christie by 1·80 seconds40. 2 hours 50 minutes41. 15 miles per hour42. Various answers. About 60 - 80 cm43. 20 - 22 cm2

44. 8·4 cm, 84 mm, 8cm 4 mm (±2 mm)45. 208 cm46. 3 kg 20 g47. 2250 ml48. 2700 m or 2 km 700 m or 2·7 km49. a 55 cm2 b 24 cm2

50. 9 cm51. 2 litres52. C = 15 x T53. C = 4 x D + 1654. a x = 10 b x = 8

c x = 555. –3, –2, –1, o, 156. Not all the corner angles are right angles

The diagonals are not equal in lengthIt only has 2 lines of symmetry - not 4It has half turn symmetry only - not quarteretc .....

57. 958. C59. a obtuse b reflex60. a 115° (±1°) b 41° (±1°)61. South West62. 100°63. C 1 cm = 10 m64. a P(3, 7) b S(9, 5)65. a 25% b 50 boys66.

47

67. 0·15

68. a b