1. Foundation Paper 1 Revision Powerpoint

2. Volume of Cuboids Volume of cuboid = length x width x height What is the volume of this cuboid? 10cm 7cm 9cm Volume = 9 x 7 x 10 = 630cm³

3. Write the following as percentages a) 8 out of 40 b) 160 out of 200 Fractions to Percentages Change so that the fraction is out of 100 8 out of 40 means 8 / 40 8 / 40 = 4 / 20 = 20 / 100 = 20% 160 out of 200 means 160 / 200 160 / 200 = 80 / 100 = 80%

4. Put these decimals in order of size: 0.730.80.801 0.710.09 Ordering Decimals Rewrite each number with extra 0s 0.730 0.800 0.801 0.710 0.090 So order is (smallest to largest) 0.09, 0.71, 0.73, 0.8, 0.801

5. Draw the graph of: y = 3x - 2 x-3-201234 y -11 -8 -5 -2 1 4 7 10 Straight Line Graphs Start with positive values 3×0-2 = -2 3×1-2 = 1 3×2-2 = 4 And look for pattern. It goes up in threes

6. (-3,-11) (-2,-8) (-1,-5) (0,-2) (1,1) (2,4) (3, 7) (4, 10) y = 3x – 2

7. Construct a triangle that has a side 10cm, and angles of 37° and 60° 10cm 0 37° 37° Constructing Triangles: 2 Angles

8. 10cm 37° 37° 0 60° Construct a triangle that has a side 10cm, and angles of 37° and 60°

9. Construct a triangle that has sides 8cm, 7cm and an angle of 45° 8cm 0 45° Constructing Triangles: 2 Sides

10. 8cm 45° 7cm Construct a triangle that has sides 8cm, 7cm and an angle of 45°

11. 15322510445 293942172119 0123401234 5 05790579 599599 2929 2424 StemLeaves 2 5 means 25

12. State two things that are wrong with this questionnaire: How many Playstation 3 games did you buy? 0 – 5 5 – 10 10 - 15

13. Metric Units of Measurement centimetres grams litre millilitre metre millimetre kilograms

14. miles stones pints gallons feet inches pounds Imperial Units of Measurement ounces

15. 2 metres 4 x 2 = 8 metres

16. Fractions, Decimals, Percentages

17. Tessellations Fit together like a jigsaw without any gaps

18. Enlargement Enlarge the shape with scale factor 2 Make all the lengths twice as big. Do the horizontal and vertical lines first

20. Area of Triangle Area = 12 x 8 2 = 48cm² Multiply BUT remember to halve your answer Find the area of this triangle REMEMBER your UNITS

21. 10cm 18cm 6cm Find the area of this trapezium 8cm 6cm 6 x 10 = 60 cm ² 6 x 8 ÷ 2 = 24 cm ² Total Area = 60 + 24 = 84 cm ²

22. 0 1 2 3 4 5 6 7 8 9 x 1 9 8 7 6 5 4 3 2 y Translation through AB 4 right 2 up Describe the transformation fully from A to B The top number represents horizontal movement (Left or Right) The Bottom number represents vertical movement (Up or Down)

23. Multiply out the brackets and simplify: ( x - 2 ) ( x + 6) X (Multiply) x- 2 x + 6 x² - 2x + 6x- 12 Answer: x² + 4x - 12

24. 2 + 3 = 8 + 21 7 4 28 = 29 = 1 1 28 28 Adding Fractions: SMILEY FACE

25. Nadia wants to collect information about the different ways in which teachers travel to school. Design a suitable data collection sheet that Nadia could use to collect the information. How do you travel to school each day? Bus Car Walk Train OTHER TALLYFrequency

26. Top first: 6 5 × 6² = 6 7 (Add the powers) 6 7 = 6³ (DIVIDE: Subtract the powers) 6 4

27. Increase £320 by 15% Find 10% first by dividing by 10 (take off a 0) 10% of £320 = £32 Then halve this to get 5% 5% of £320 = £16 Then add together to get 15% 15% of £320 = 32 + 16 = £48 Then add on to the amount to get the final answer £320 + £48 = £368

28. Angles in a quadrilateral add up to 360 360 – 90 – 62 – 136 = 72⁰ x = 180 – 72 = 108⁰ as it’s on a straight line

29. Estimate the following calculations a) 86.6 x 34.2 ≈ 90 x 30 = 2700 = 90 32.2 30 30 b) 74.9 ≈ 70 = 70 x 2 = 140 0.51 0.5 When we divide by 0.5 this is the same as multiplying by 2 Round each number as simply as possible

30. Bearing: Angle measured from North, Clockwise 056˚ (Always need 3 figures) This is the angle required 360 – 142 = 218˚ (Answer)

31. Factorise x² + 3x x² + 3x = x x + 3 x x is common to both parts so this comes out of the brackets = x (x + 3)

32. x coordinates: ½ way between 2 and 12 is 7 (2 + 12) ÷ 2 = 7 y coordinates: ½ way between 3 and 7 is 5 (3 + 7) ÷ 2 = 5 ANSWER: (7, 5)

33. The Perpendicular Bisector of Line AB AB

34. The Angle Bisector The angle bisector will divide an angle exactly in half.

35. Time (t minutes) Frequency 10  t < 14 2 14  t < 18 5 18  t < 22 12 22  t < 26 8 26  t < 30 3 Draw a frequency Polygon Plot against midpoints 12, 16, 20, 24, 28

36. ROTATION 180⁰ about (0, 0) Use your Tracing Paper

37. Food Mart: 1 yoghurt = 180 ÷ 5 = 36p Jim’s: 1 yoghurt = 105 ÷ 3 = 35p 0 3 6 5 1 8 3 0 0 3 5 3 1 0 1 5 So Jim’s is better value

38. 113⁰ because corresponding (F angle) So x = 180 – 113 = 63⁰ because straight line

39. 127⁰ because alternate (Z angle)

40. Draw the front & side elevations and the plan of this shape on the cm squared paper Side Front Plan

41. Solve:7x – 8 = 27 x 27 X 7 - 8  7 7 7 7 + 8 + 8 27 5 So x = 5 Solving Linear Equations

42. Angles in triangle add to 180 degrees 3x 2x x + 30 6x + 30 So 6x + 30 = 180 Use function machines to solve: x = (180 – 30) ÷ 6 = 25˚

43. Solve:n + 11=3n + 6 n nnn 11 6 n + 11 3n + 6 So 2n + 6 = 11 5 So 2n = 5 So n = 2.5 Solving Equations with Unknown on Both Sides

44. 180 90 2 2 45 5 9 3 3 So 180 = 2 x 2 x 3 x 3 x 5 = 2 2 x 3 2 x 5 Prime Factor Powers

45. Angles in Shapes Isosceles Triangle: Two bottom angles are the same. 180 – 44 = 136 x = 136 ÷ 2 = 68°

46. Also may be asked about the PLAN: Birds eye view

47. Belinda Section A 75% = ¾ ¾ of 40 = 40 ÷ 4 x 3 = 30 Section B 60% of 20 10% = 2 so 60% = 12 Belinda total = 30 + 12 = 42 marks So Niamh who scored 45 marks got higher