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Foundation Paper 1 Revision Powerpoint

Foundation Paper 1 Revision Powerpoint. Volume of Cuboids. What is the volume of this cuboid ?. 7cm. 10cm. 9cm. Volume of cuboid = length x width x height. Volume = 9 x 7 x 10 = 630cm ³. Fractions to Percentages. Write the following as percentages 8 out of 40 160 out of 200.

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Foundation Paper 1 Revision Powerpoint

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  1. Foundation Paper 1 Revision Powerpoint

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

  3. Fractions to Percentages • Write the following as percentages • 8 out of 40 • 160 out of 200 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. Ordering Decimals Put these decimals in order of size: 0.73 0.8 0.801 0.71 0.09 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. Straight Line Graphs Draw the graph of: y = 3x - 2 -11 -8 -5 -2 1 4 7 10 Start with positive values 3×2-2 = 4 And look for pattern. It goes up in threes 3×0-2 = -2 3×1-2 = 1

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

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

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

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

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

  11. 15 32 25 10 44 5 29 39 42 17 2119 5 0 5 7 9 5 9 9 2 9 2 4 2 5 means 25 0 1 2 3 4 Stem Leaves

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

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

  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

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

  20. Find the area of this trapezium 10cm 6 x 10 = 60 cm² 6cm 6cm 6 x 8 ÷ 2 = 24 cm² 8cm 18cm Total Area = 60 + 24 = 84 cm²

  21. y Translation through 9 8 7 6 5 4 3 B 2 1 A 2 up 0 1 2 3 4 5 6 7 8 9 x 4 right 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)

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

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

  24. 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? TALLY Frequency OTHER

  25. Top first: 65 × 6² = 67 (Add the powers) 67 = 6³(DIVIDE: Subtract the powers) 64

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

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

  28. Estimate the following calculations a) 86.6 x 34.2≈ 90 x 30 = 2700 = 90 32.2 30 30 Round each number as simply as possible b) 74.9≈ 70 = 70 x 2 = 140 0.510.5 When we divide by 0.5 this is the same as multiplying by 2

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

  30. 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)

  31. ANSWER: (7, 5) 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

  32. A B The Perpendicular Bisector of Line AB

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

  34. Draw a frequency Polygon Plot against midpoints 12, 16, 20, 24, 28

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

  36. So Jim’s is better value Food Mart: 1 yoghurt = 180 ÷ 5 = 36p 0 3 6 5 1 8 30 Jim’s: 1 yoghurt = 105 ÷ 3 = 35p 0 3 5 3 1 0 15

  37. 113⁰ because corresponding (F angle) So x = 180 – 113 = 63⁰ because straight line

  38. 127⁰ because alternate (Z angle)

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

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

  41. 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˚

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

  43. 2 5 45 3 9 90 3 2 Prime Factor Powers 180 So 180 = 2 x 2 x 3 x 3 x 5 = 22 x 32 x 5

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

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

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

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