1. L1 Starters A Links Starter 11Starter 11 Starter 11 SolnsStarter 11 Solns Starter 12Starter 12 Starter 12 SolnsStarter 12 Solns Starter 13Starter 13 Starter 13 SolnsStarter 13 Solns Starter 14Starter 14 Starter 14 SolnsStarter 14 Solns Starter 15Starter 15 Starter 15 SolnsStarter 15 Solns Starter 16Starter 16 Starter 16 SolnsStarter 16 Solns Starter 17Starter 17 Starter 17 SolnsStarter 17 Solns Starter 18Starter 18 Starter 18 SolnsStarter 18 Solns Starter 19Starter 19 Starter 19 SolnsStarter 19 Solns Starter 20Starter 20 Starter 20 SolnsStarter 20 Solns These starters focus on ‘Merit’ problems. A mixture of Number, Algebra, Graphs, Trigonometry, & Probability

2. Starter 11 1 st slide 1) 2) 5) 6) 7) 8) 9) 10) 3) 4) 26% of A is $128. Find A Simplify Expand (2x + 1)(x – 6) = Solve Solve 3(x – 9) ≥ 2x What is the gradient of the line 2y + 6x = 12 Sketch the graph of y = (x + 2) 2 – 4 13 × Cos 38º = What is the probability of 4 heads when flipping a coin 4 times? Find the reciprocal of 0.02

3. Starter 11 Soln A 1) 2) 5) 3) 4) 26% of A is $128. Find A Expand (2x + 1)(x – 6) = Find the reciprocal of 0.02 Simplify Solve 1 st slide

4. Starter 11 Soln B 6) 7) 8) 9) 10) Solve 3(x – 9) ≥ 2x What is the gradient of the line 2y + 6x = 12 Sketch the graph of y = (x + 2) 2 – 4 13 × Cos 38º = What is the probability of 4 heads when flipping a coin 4 times? 1 st slide

5. Starter 12 1) 2) 5) 6) 7) 8) 9) 10) 3) 4) Find GST (12.5%) component of a shirt selling for $48 Make ‘x’ the subject of y = 4x + 6 Factorise 7x 2 + 42x +35 Solve 4(x + 3) < 3x + 1 Solve (x + 1)(x – 1) = 8 What is the y intercept of the line y = 7x − 9 Sketch the graph of y = 2x 2 − 3 0.24 ÷ Tan 62º (to 3dp) = A 12 sided die, P(more than 8) = Simplify the ratio 0.02 : 0.8 1 st slide 1 st slide

6. Starter 12 Soln A 1) 2) 5) 3) 4) Find GST (12.5%) component of a shirt selling for $48 Make ‘x’ the subject of y = 4x + 6 Factorise 7x 2 + 42x +35 Solve 4(x + 3) < 3x + 1 Simplify the ratio 0.02 : 0.8 1 st slide

7. Starter 12 Soln B 6) 7) 8) 9) 10) Solve (x + 1)(x – 1) = 8 What is the y intercept of the line y = 7x − 9 Sketch the graph of y = 2x 2 − 3 0.24 ÷ Tan 62º (to 3dp) = A 12 sided die, P(more than 8) = 1 st slide

8. Starter 13 1) 2) 5) 6) 7) 8) 9) 10) 3) 4) Solve x 2 = 2x + 15 Factorise 3x 2 – 2x – 8 Solve simultaneously: x + y = 14 3x – y = 10 Solve (x + 1)(x – 7) = 3x – 7 What is the equation the graph. Sketch the graph of y = 0.5x 2 + 2 Sin 215º = A pack of 52 cards, P(card with a red 3) = A bottle has 120mL of juice in it. It is 74% full. What is volume of the full bottle? Calculate 1 st slide

9. Starter 13 Sol A 1) 2) 5) 3) 4) Solve x 2 = 2x + 15 Factorise 3x 2 – 2x – 8 Solve simultaneously: x + y = 14 3x – y = 10 A bottle has 120mL of juice in it. It is 74% full. What is volume of the full bottle? Calculate 1 st slide

10. Starter 13 Soln B 6) 7) 8) 9) 10) Solve (x + 1)(x – 7) = 3x – 7 What is the equation the graph. Sketch the graph of y = 0.5x 2 + 2 Sin 215º = A pack of 52 cards, P(card with a red 3) = 1 st slide

11. Starter 14 1) 2) 5) 6) 7) 8) 9) 10) 3) 4) 740 boys are about 54% of the school roll. How many students total? Simplify 5(x + 6) − 3(x + 4) Factorise x 2 + 9x + 14 = Solve 3(x + 2) = 10x − 5 Solve x 2 + 6x + 5 = 0 Sketch y = 4 − 2x 2 Sketch the graph of y = (x + 1)(x − 3) A 12 sided die, P(no more than 5) = (3.84 × 10 14 ) ÷ (2.24 × 10 -16 ) 1 st slide

12. Starter 14 Soln A 1) 2) 5) 3) 4) 740 boys are about 54% of the school roll. How many students total? Simplify 5(x + 6) − 3(x + 4) Factorise x 2 + 9x + 14 = Solve 3(x + 2) = 10x − 5 (3.84 × 10 14 ) ÷ (2.24 × 10 -16 ) 1 st slide

13. Starter 14 Soln B 6) 7) 8) 9) 10) Solve x 2 + 6x + 5 = 0 Sketch y = 4 − 2x 2 Sketch the graph of y = (x + 1)(x − 3) A 12 sided die, P(no more than 5) = 1 st slide

14. Starter 15 1) 2) 5) 6) 7) 8) 9) 10) 3) 4) Two fifths of a class of 25 were away sick. A quarter of the rest were wagging. How many were left in class? Simplify (3x 3 y 4 ) 2 = Expand (x – 5)(x – 9) = Factorise x 2 – 2x – 35 Solve 4x(x – 9) = 0 Sketch y = -(x + 2) 2 + 3 Sketch the graph of y = (x + 2) 2 Roll two 6 sided dice, adding the result. P(Sum of 6 or less) The ratio of A:B is 3:5 If there is 6.4 kg of A, how heavy is B? 1 st slide

15. Starter 15 Soln A 1) 2) 5) 3) 4) Two fifths of a class of 25 were away sick. A quarter of the rest were wagging. How many were left in class? Simplify (3x 3 y 4 ) 2 = Expand (x – 5)(x – 9) = Factorise x 2 – 2x – 35 The ratio of A:B is 3:5 If there is 6.4 kg of A, how heavy is B? 1 st slide

16. Starter 15 Soln B 6) 7) 8) 9) 10) Solve 4x(x – 9) = 0 Sketch the graph of y = (x + 2) 2 Roll two 6 sided dice, adding the result. P(Sum of 6 or less) Sketch y = -(x + 2) 2 + 3 1 st slide

17. Starter 16 1) 2) 5) 6) 7) 8) 9) 10) 3) 4) A price drops by 15 % then increases by 10%. Find the total % change Simplify (5x 8 ) 3 = Expand (2x – 3) 2 = Factorise x 2 + x – 20 Solve x 2 + 3x = 4 Sketch y = -0.25x 2 + 2 Write the equation for this graph A 12 sided die, P(A factor of 12) = What $650 invested for 2 yr at 8% per year simple interest is? 6m 1.4m x? 1 st slide

18. Starter 16 Soln A 1) 2) 5) 3) 4) A price drops by 15 % then increases by 10%. Find the total % change Simplify (5x 8 ) 3 = Expand (2x – 3) 2 = Factorise x 2 + x – 20 What $650 invested for 2 yr at 8% per year simple interest is? 1 st slide

19. Starter 16 Soln B 6) 7) 8) 9) 10) Solve x 2 + 3x = 4 Sketch y = -0.25x 2 + 2 Write the equation for this graph A 12 sided die, P(A factor of 12) = 6m 1.4m x? 1 st slide

20. Starter 17 1) 2) 5) 6) 7) 8) 9) 10) 3) 4) ¾ of students do homework. 60% of these work. 40% of the rest work. What fraction of all students work? Expand (10x + 1) 2 = Factorise x 2 + x – 56 Sketch y = 5 – x 2 Sketch the graph of y = 3 – (x + 2) 2 Roll 2 six sided dice, adding the scores. P(At most 8) = 18% of days have rain. 34% of the rest are cloudy. What % are sunny? 12 ÷ Cos 41º = Solve Simplify (2m 5 ) 3 × (5m 3 ) 2 = 1 st slide

21. Starter 17 Soln A 1) 2) 5) 3) 4) ¾ of students do homework. 60% of these work. 40% of the rest work. What fraction of all students work? Expand (10x + 1) 2 = Factorise x 2 + x – 56 18% of days have rain. 34% of the rest are cloudy. What % are sunny? Simplify (2m 5 ) 3 × (5m 3 ) 2 = 1 st slide

22. Starter 17 Soln B 6) 7) 8) 9) 10) Sketch the graph of y = 3 – (x + 2) 2 Roll 2 six sided dice, adding the scores. P(At most 8) = 12 ÷ Cos 41º = Solve Sketch y = 5 – x 2 1 st slide

23. Starter 18 1) 2) 5) 6) 7) 8) 9) 10) 3) 4) $20 000 invested at 12% for ‘N’ years gives a total of $8400 interest. Find ‘N’ Factorise 36 – 49x 2 Factorise 4x 2 + 20x – 96 Solve 2x 2 + 4x = 30 Sketch y = 3(x – 2) 2 – 3 Sketch the graph of y = 5 – (x – 2) 2 A bag of 6 lollies, 4 are red. If 3 red were eaten find the probability of another red being randomly selected. Increase 8.4 × 10 12 km by 38% If e = 4, g = 5 find Sin -1 0.8 = Hint: ‘Shift’ ‘Sin’ 1 st slide

24. Starter 18 Soln A 1) 2) 5) 3) 4) $20 000 invested at 12% for ‘N’ years gives a total of $8400 interest. Find ‘N’ Factorise 36 – 49x 2 Factorise 4x 2 + 20x – 96 Increase 8.4 × 10 12 km by 38% If e = 4, g = 5 find 1 st slide

25. Starter 18 Soln B 6) 7) 8) 9) 10) Solve 2x 2 + 4x = 30 Sketch y = 3(x – 2) 2 – 3 Sketch the graph of y = 5 – (x – 2) 2 A bag of 6 lollies, 4 are red. If 3 red were eaten find the probability of another red being randomly selected. Sin -1 0.8 = Hint: ‘Shift’ ‘Sin’ 1 st slide

26. Starter 19 1) 2) 5) 6) 7) 8) 9) 10) 3) 4) Expand fully 2(5x + 2) 2 = Factorise 3x 2 – 6x – 72 Solve -6x + 18 ≥ -3x + 2 Sketch 2y + 3x – 6 = 0 Sketch the graph of y = (x + 2)(4 – x) Flip a coin 3 times. If the first flip is a ‘H’ find the probability of ‘HHH’ 0.4% of N is 2.4 × 10 14 Find N Sin -1 0.34 = When a tank is full it contains 64litres. How many litres are needed to make it full? Simplify 1 st slide

27. Starter 19 Soln A 1) 2) 5) 3) 4) Expand fully 2(5x + 2) 2 = Factorise 3x 2 – 6x – 72 0.4% of N is 2.4 × 10 14 Find N When a tank is full it contains 64litres. How many litres are needed to make it full? Simplify 1 st slide

28. Starter 19 Soln B 6) 7) 8) 9) 10) Solve -6x + 18 ≥ -3x + 2 Sketch 2y + 3x – 6 = 0 Sketch the graph of y = (x + 2)(4 – x) Flip a coin 3 times. If the first flip is a ‘H’ find the probability of ‘HHH’ Sin -1 0.34 = 1 st slide

29. Starter 20 1) 2) 5) 6) 7) 8) 9) 10) 3) 4) Half of a third of a quarter was eaten. What fraction is left? Factorise 4x 2 – 81y 8 Factorise 6x 2 + 7x + 2 Solve x 2 = 35 – 2x Sketch 3y + 6 – 2x = 0 Sketch the graph of y = 0.5(x – 2) 2 – 4 It rains 0.25 of days. I am late 60% of rainy days, and 15% of the rest What is the probability I am late? Hint: draw a probability tree. Add GST (12.5%) and then a 24% profit. What is the % increase? Cos -1 0.184 = Simplify 1 st slide

30. Starter 20 Soln A 1) 2) 5) 3) 4) Half of a third of a quarter was eaten. What fraction is left? Factorise 4x 2 – 81y 8 Factorise 6x 2 + 7x + 2 Add GST (12.5%) and then a 24% profit. What is the % increase? Simplify 1 st slide

31. Starter 20 Soln B 6) 7) 8) 9) 10) Solve x 2 = 35 – 2x Sketch 3y + 6 – 2x = 0 Sketch the graph of y = 0.5(x – 2) 2 – 4 It rains 0.25 of days. I am late 60% of rainy days, and 15% of the rest What is the probability I am late? Hint: draw a probability tree. Cos -1 0.184 = 1 st slide