PRE-ASSESSMENT LEARNING EVALUATION

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1 St Andrew s Academy Mathematics Department S2 COURSE BLOCK 3 PRE-ASSESSMENT LEARNING EVALUATION

2 S2 BLOCK 3 LEARNING EVALUATION Red Amber Green Revisin Exercise NUMBER I can use nn-calculatr strategies t perfrm calculatins using the fur peratins. I can cnfidently use the negative number line and answer prblems in cntext. I can add and subtract with negative numbers: e.g. a) = -1 b) 3 7 = -4 c) 3 + (-2) = 1 d) 5 (-2) = 7 e) (-4) + (-8) = -4 e) (-1) (-9) = 8 I can multiply psitive and negative numbers tgether: e.g. a) (-6) x 5 = -30 b) (-2) x (-7) = 14 I can divide psitive and negative numbers tgether: e.g. a) (-16) 8 = -2 b) (-12) (-3) = 4 Number Exercise 1 Number Exercise 2 Number Exercise 3 Number Exercise 3 Extra Practice n mixed questins Exercise 4 and 5

3 S2 BLOCK 3 LEARNING EVALUATION Red Amber Green Revisin Exercise ALGEBRA I can remve brackets and simplify e.g. a) 5(x + 4) 7 = 5x = 5x + 13 Algebra Exercise 1 Q1 b) 8(x + 2) 3(2x 5) = 8x x + 15 = 2x + 31 Algebra Exercise 1 Q2 I can slve equatins with letters and numbers n bth sides: e.g. 8x + 4 = 2x x = 2x x -2x 6x = x = 6 I can slve equatins with brackets: e.g. a) 4(y 3) = 20 4y 12 = y = Y = 8 b) 5(3x 2) = 4(x + 3) 15x 10 = 4x x = 4x x -4x 11x = X = 2 Algebra Exercise 2 Algebra Exercise 3 Algebra Exercise 3 I can slve equatins invlving fractins: e.g. a) 1 2 x - 5 = 2 x x = 7 x2 x = 14 Algebra Exercise 4 Q1 b) 2 3 x + 2 = = 6 Algebra Exercise 4 Q1

4 S2 BLOCK 3 LEARNING EVALUATION x3 x3 2x = x = 9 c) 4y + 5 = 7 3 x3 x3 4y + 5 = y = Y = 4 Algebra Exercise 4 Q2 + 3

5 S2 BLOCK 3 LEARNING EVALUATION Red Amber Green Revisin Exercise LENGTH, PERIMETER AND VOLUME I can cnvert between units f length, such as mm, cm, m and km. I can calculate the perimeter f a shape: (Remember smetimes yu must wrk ut missing lengths befre yu wrk ut the perimeter.) e.g. a) 6cm 4cm 6cm P = = 25cm Area and Vlume Exercise 1 Area and Vlume Exercise 2 9cm b) c) 3cm 12mm P = = 30mm P = = 44m I can wrk ut the area f a square and a rectangle, ensuring I shw all lines f wrking: e.g. a) Square b) Rectangle 8.5m Area and Vlume Exercise 3, Q1+2 5cm A = l x b A = 5 x 5 A = 25cm 2 4m A = l x b A = 8.5 x 4 A = 34m 2 I can wrk ut the area f a triangle, ensuring I shw all lines f wrking: e.g. a) Right-Angled Triangle

6 S2 BLOCK 3 LEARNING EVALUATION 4cm A = 1 2 l b A = Area and Vlume Exercise 3, Q3 9cm A = A = 18cm 2 8cm b) Any Triangle A = 1 b h 2 A = A = Area and Vlume Exercise 3, Q3 6cm A = 24cm 2 I can wrk ut the area f a parallelgram, ensuring I shw all line f wrking: e.g. 4m A = B x H A = 9 x 4 Area and Vlume Exercise 4 Q1 9m A = 36m 2 I can wrk ut the area f a Kite and a Rhmbus, ensuring I shw all line f wrking: e.g. a) A kite Area and Vlume Exercise 4 Q3a + b

7 S2 BLOCK 3 LEARNING EVALUATION A = 1 2 x D x d 12cm A = 1 2 x 12 x 7 A = 1 2 x 84 Area and Vlume Exercise 4 Q3c + d A = 42cm 2 7cm b) A Rhmbus 5mm A = 1 2 x D x d A = 1 2 x 8 x 5 8mm A = 1 2 x 40 A = 20mm 2 Area and Vlume Exercise 4 Q2 I can wrk ut the area f a Trapezium, ensuring I shw all line f wrking: e.g. A = 1 (a + b) x h 2 6cm A = 1 (8+ 6) x 7 2 7cm A = 1 (14) x 7 2 8cm A = 7 x 7 Area and Vlume Exercise 6 A = 49cm 2 I can wrk ut the area f a Cmpsite, ensuring I shw all line f wrking: e.g. A1 = L X B A2 = L X B A1 = 9 x 4 A2 = 6 x 2 A1 = 36cm 2 A2 = 12cm 2 Area and Vlume Exercise 6 Ttal Area = = 48cm 2 A1 = L X B A2 = 1 2 x L X B A1 = 12 x 14 A2 = 1 2 x 8 x 12 A1 = 168cm 2 A2 = 48cm 2 Ttal Area =

8 S2 BLOCK 3 LEARNING EVALUATION Area and Vlume Exercise 6 A1 = L X B A2 = Π x r 2 A1 = 20 x 30 A2 = Π x 10 2 A1 = 600mm 2 A2 = mm 2 Ttal Area = = mm 2 Area and Vlume Exercise 5 Q1 I can calculate the circumference f a circle: e.g. 6cm C = Π x D C = Π x 12 C = 37.7 cm (t 1dp) Area and Vlume Exercise 5 Q2 I can calculate the area f a circle: e.g. A = Π x r 2 A = Π x 4 2 A = 50.3m 2 (t 1 dp) 8cm Area and Vlume Exercise 7 I can calculate the vlume f a cube and a cubid. e.g. a) A cube V = l x b x h V = 5 x 5 x 5 V = 125m 3 Area and Vlume Exercise 7 5 m b) A cubid

9 S2 BLOCK 3 LEARNING EVALUATION V = l x b x h 4cm V = 6 x 2 x 4 6cm 2cm V = 48cm 3 Area and Vlume Exercise 8 I understand that 1cm 3 = 1ml and can use this infrmatin t calculate liquid vlume. I can slve prblems invlving area and vlume.

10 S2 BLOCK 3 REVISION NUMBER REVISION Exercise 1 1. Read the fllwing thermmeters and state the temperature: b) a) 2. Put these temperatures in rder, the lwest first. 2⁰C, -8⁰C, -1⁰C, -6⁰C, -4⁰C 3. Which f these temperatures is lwest? i) -4⁰C r -2⁰C ii) -16⁰C r -17⁰C 4. The temperature in Paisley ne day in December was 6⁰C. The temperature fell by 8 degrees by 1am. What is the temperature nw? 5. What is the difference in temperature between -4⁰C and 14⁰C? 6. What number is 10 up frm What number is 8 dwn frm The temperature in Mscw was -12ºC at 4am. By 2pm the temperature had risen by 7º. What was the temperature at 2pm? 9. The temperature in Russia ne afternn was -7ºC. By night fall the temperature had fallen by 11º. What was the temperature at night fall? Exercise 2 1. State which f fllwing statements are true r false. a) 8 > 3 b) -2 < 5 c) 0 < -1 d) -9 > Cmplete the fllwing calculatins: a) 2 7 b) (-3) + 8 c) (-5) 9 d) St Andrew s Academy Maths Department

11 e) (-18) + 6 f) (-13) + 7 g) 3 + (-10) h) 10 + (-4) i) 0 + (-18) j) (-6) + (-8) k) (-2) + (-16) l) (-19) + (-20) 3. Cmplete the fllwing calculatins: a) 4 18 b) (-6) 15 c) 7 (-10) d) 0 ( -19) e) (-8) (-3) f) (-17) (-5) g) (-2) (-11) h) (-39) (-20) i) (-6) (-4) j) (-10) (-9) k) (-20) (-15) l) (-50) (-30) Exercise 3 Cmplete the fllwing calculatins: a) 35 (-7) b) (-2) x 9 c) (-30) 5 d) (-9) x (-8) e) 7 x (-4) f) (-12) x 5 h) (-54) (-9) i) (-48) 6 k) (-8) x (-4) l) 7 x (-13) m) (-100) (-20) n) 50 (-2) Exercise 4 1. Cmplete the fllwing calculatins: a) 7 19 b) (-5) + 12 c) (-4) x 8 d) 1 + (-16) e) (-8) + (-15) f) (-9) ( -14) g) (-63) 9 h) (-28) (-10) i) (-14) x (-6) = j) (-8) 13 k) (-15) + (-12) l) 120 (-2) m) (-49) 7 n) (-17) (-21) ) 2 + (-14) p) (-6) x 5 q) 7 (-10) r) 32 (-8) s) (-4) + (-9) t) (-1) (-17) u) 13 x (-4) v) (-66) (-11) w) (-18) (-12) x) 5 + (-16) y) (-9) x (-7) z) (-2) + (-11) Exercise 5 Cmplete the fllwing calculatins: 1. (-7) (-18) 4. (-9) x (-17) 6. (-3) (-5) (-7) 8. (-4) x (-8) 9. (-25) (-12) (-19) 11. (-54) (-10) + (-36) x (-13) 14. (-42) (-7) 15. (-50) (-28) ALGEBRA REVISION St Andrew s Academy Maths Department

12 Exercise 1 1. Remve the brackets and simplify: (a) 2(q + 4) + 3 (b) 3(e + 1) + 6 (c) 5(t + 4) + 2 (d) 6(u + 2) 7 (e) 4(p + 2) 7 (f) 80v + 10(7v + n) g) 12 2(x 5) 2. Remve the brackets and simplify: Exercise 2 (a) 3(m + 2) + 4(m + 1) (b) 5(b + 2) + 2(b + 4) (c) 8(c + 1) + 3(c + 6) (d) 2(8t 2) + 5(2t + 4) (e) 6(4 5e) + 7(2 + 4e) (f) 4(2x + 1) 3(x + 2) (g) 9(x + 1) 6(x 2) (h) x(8x 2) 2(3x 8) Slve the fllwing equatins: Exercise 3 Remve the brackets and slve the fllwing equatins: a) 3(x 5) = 12 b) 5(2x 3) = 15 c) 5(3 2x) = 30 d) 3(2x 4) = 8 e) 7x + 2 = 5(x 2) f) 22 3x = 2(x + 6) g) 13 3x = 4(x 2) h) x 18 = 2(2x 3) i) 4(2x 3) = 3x 27 j) 3(x 2) + 2(x + 4) = 17 (k) 5(2x + 1) + 6(1 2x) = 1 (l) 2(3x + 1) + 3(x 4) = 4x + 5 (m) 4(3x 6) + 5(x + 1) = 5x + 5 (n) 4(x + 5) 2(x + 1) = 30 () 2(4x + 1) 3(x 3) = x + 35 Exercise 4 St Andrew s Academy Maths Department

13 1. Slve the fllwing equatins: a) 1 2 x + 6 = 10 b) 1 4 y 5 = 2 c) 1 7 a + 3 = -4 d) 2 3 x 4 = 6 e) 3 x + 3 = 9 f) 3 x + 10 = Slve the fllwing equatins: 3. Slve the fllwing equatins: St Andrew s Academy Maths Department

14 LENGTH, PERIMETER AND AREA REVISION Exercise 1 1. Cnvert each f the fllwing units: a) 6cm t mm b) 7.2cm t mm c) 850mm t cm d) 9mm t cm Exercise 2 a) e) 8m t cm f) 12.3m t cm g) 800cm t m h) 1.8m t cm i) 0.7m t cm j) 3km t m k) 6.3km t m l) 42700m t km 1. Calculate the perimeter f the fllwing shapes: b) c) d) e) f) 2cm Exercise 3 1. Calculate the area f the fllwing rectangles: St Andrew s Academy Maths Department

15 2. Calculate the area f the fllwing squares: 3. Calculate the area f the fllwing triangles a) b) c) d) e) Exercise 4 1. Calculate the area f the fllwing shapes: 2. Calculate the area f the fllwing shapes: 3. Calculate the area f the fllwing shapes: a) b) c) 14cm 8cm St Andrew s Academy Maths Department

16 d) 25mm 40mm Exercise 5 1. Calculate the circumference f each f the fllwing circles: a) b) c) 9cm 7m 22mm 2. Calculate the area f each f the fllwing circles: a) b) c) 6cm 18mm 5cm Exercise 6 1. Calculate the area f the fllwing shapes: a) b) c) d) St Andrew s Academy Maths Department

17 e) f) 2. Calculate the shaded area in each f the fllwing shapes: Exercise 7 1. Calculate the vlume f each f the fllwing shapes: (d) (e) (f) Exercise 8 1. Find the vlume f a water tank that is 80cm lng, 40cm wide and 20cm high. Give yur answer in litres. 2. William is painting the side f his huse. He has 8 litres f paint and each litre f paint cvers 16m 2. Des William have enugh paint? St Andrew s Academy Maths Department