Integrated mathematics scheme: IMS T2 - National STEM Centre

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3. (a) 11 (f) 0 (k) -53 (b) 8 (g) -5 (I) -100 (c) 10 (h) -14 (d) 8 (i) 15 (e) -7 (j) 31 M4 A. 1. All in a vertical line 2. Vertical line 3. Horizontal line 4. Vertical line 5. Two lines which are reflections in the y axis B. 1. The points all lie on a straight line. If (x, y) satisfies y = x + 1 the point will be on a certain straight line through (0,1), (2,3) 2. (a) (0,0) (b) (2,0); (0,2); (-2,0); (0,-2) 3. A parallelogram, centre (0,;) 4. Drawing 5. (-2, -1); (-4, -2) Yes 6. Drawing M5 B. 1. -16°e 2. -20 o e 3. -6°e 4. -16°e 5. -16°e 6. 7°e C. 1. Ground level 2. -5 3. +2 4. -1 5. +7 6. +1 7. -9 8. -7 9. -14 He loses another 16000ft in landing P1 A. 1. (a) 1 (b) -1 (c) 3 (d) -8 (e) 1 (f) -3 (g) -25 (h) -43 (i) 3 (j) 3 (k) 11 (I) 8 (m) -9 (n) -30 (0) -80 (p) -96 2. (a) 5 (b) 5 (c) -4 (d) -13 (e) 16 (f) 21 (g) 29 (h) 60 (i) -8 (j) -17 (k) -26 (I) -40 (m) 2 (n) 4 (0) 0 (p) -21 B. 1. (a) -2 (b) -5 (c) -6 (d) -5 (e) 3 (f) 7 (g) 3 (h) -8 (i) 20 (j) 36 (k) -9 (I) -30 2. (a) 4 (b) 13 (c) 8 (d) 26 (e) 54 (f) -10 (g) -8 (h) 80 (i) -10 (j) -20 (k) -57 (I) -6 3. (a) 30 (b) -10 (c) 58 (d) 57 (e) 6 (f) 16 (g) -28 (h) -20 (i) 22 (j) 12 (k) -52 (I) -23 3
P2 A. 1. 6·3 2. 25·7, -19·4 3. (a) £26·88 (b) £-41·95 4. (a) 157 m above ground (b) +200, -70, +60, -25, -38, +40, -50, +175, -55, -80 (c) 157 (d) The balloon had come back to Earth 5. 0·7°C above normal B. (a) £570 (b) £262 (c) £1145 (d) £900 C. 1. (a) -20 (b) -21 (c) -10 (d) -30 (e) -60 (f) -32 (g) -21 (h) -96 (i) -21 (j) -8 (k) -25 (I) -54 2. (a) 4, 8, 12, 16, 20 (b) 6,12,18,24 3. (a) 21 (b) 30 (c) 16 (d) 5 (e) 36 (f) 81 (g) 60 (h) 55 E1 A. 1. 2. B. 1. 2. 3. As for P1 and (q) 0·7 (r) -2·3 (s) -4·4 (t) -1·17 As for P1 and (q) 7·2 (r) 6·5 (s) 1·2 (t) 0·88 As for P1 and (m) 5·6 (n) 0·6 (0) -7·3 (p) 13·6 As for P1 and (m) -7·8 (n) +3·6 (0) 5 (p) 3·4 As for P1 and (m) 9·2 (n) 6·6 (0) -0·5 (p) -2·2 E2 E3 1. 2. 3. A. 2. B. 2. As for P2C and (m) -9·6 (n) -11·5 (0) -10·2 (p) -31·5 As for P2C and (c) -12, -24, -36, -48 As for P2C and (i) 4·5 (j) 5·2 (k) 22 (I) 33·6 (a) (5 x -8) + (5 x 8) = 5 x (8 + -8) = 5 x a = a So 5 x -8 is the negative of 5 x 8, Le. 5 x -8 = -40 (a) Suppose n, is the negative of 22 and n2 is another negative. n, + 22 + n2 = (n, + 22) + n2 = a + n2 = n2 also n, + 22 + n2 = n, + (22 + n2) = n, + a = n, So n, = n2, both negatives are the same, etc. C. 2. 16x16=16x(16+0)=?16x16=16x16+(16xO) =? 16 x a must be zero 4
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Page 29 and 30: 3. (a) 9 (b) 21 (c) 0 (d) 48 (e) 8
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3. Proofs. (b), (c) and (d) these c
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amusing because everything looks wr
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of the calculator never reveals. Th
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Unit 21, page 92 This unit reinforc
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E45 A. 1. (a) Use a triangle whose
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Answers M82 A. 1. The sets are the
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3. (a) Is true (b) Is not true. Exa
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3. people with both A 7 13 4 P C. 1
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(d) (e) (f) 2. When the diagrams ar
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Integrated mathematics scheme: IMS T2 - National STEM Centre

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