Test yourself unit 3 foundation qs
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This document provides formulas and definitions for geometry and math concepts covered in Unit 3. It includes formulas for calculating the area of shapes like triangles, parallelograms, trapezoids, and circles. It also includes formulas for volume of cubes, cuboids, prisms, cylinders, as well as definitions for terms like congruent, similar, perpendicular, and more. The document is a comprehensive study guide listing key formulas and explanations for foundational geometry and math topics.
Test yourself unit 3 foundation qs
- 2. Transformation means move or change
- 3. T for Translation E for Enlargement R for Rotation R for Reflection Unit 3
- 4. Translation means slide needs a column vector
- 5. Enlargement needs scale factor and point
- 6. Rotation needs an angle, direction and point
- 7. Reflection needs the name of a mirror line
- 8. Area of a triangle is base x height ÷ by 2
- 9. Area of a parallelogram is base x height
- 10. Area of a trapezium is (a+b) x h ÷ 2
- 11. Area of circle = radius squared x by ∏
- 12. Circumference of a circle is diameter x ∏
- 13. Volume of cube or cuboid is the length x width x height
- 14. Volume of a prism is area of cross section x length
- 15. Volume of a cylinder is radius squared x ∏ x height
- 16. Congruent means exactly the same
- 17. Similar means the same shape different size
- 18. The quadrilaterals Square, rectangle, parallelogram rhombus, kite and trapezium
- 19. To find 10 % divide by 10
- 20. Estimate means round and workout!
- 22. A bearing is an angle measured clockwise from north
- 23. The x axis is called y=0 The y axis is called x=0
- 24. Speed = distance ÷ time
- 25. Density = mass ÷ volume
- 26. Reciprocal means one divided by reciprocal of 2 is ½
- 27. The opposite of square is square root The opposite of cube is cube root
- 28. Length = cm Area = cm² Volume = cm³
- 29. Angles in an equilateral triangle are 60º
- 30. Angles in a triangle add up to 180° Angles in a quadrilateral add up to 360º
- 31. Interior angle sum of a polygon is (n-2) x 180°
- 32. For polygons Interior + Exterior = 180º
- 33. C for corresponding I for Interior A for alternate O for opposite
- 35. Interior angles add up to 180º X X
- 36. Alternate angles are equal A A
- 37. Opposite angles are equal O O
- 38. Parallel lines are like train tracks
- 39. Parallel lines have the same gradient
- 40. Equation of a straight line is y = +/- gradient x +/- Intercept
- 41. y x y = y²
- 42. y + y = 2y
- 43. The Rules of indices a4 x a5 = a9 a7 ÷ a3 = a4 (a6)3 = a18
- 44. A number in Standard Form is in two parts 3.6 x 106
- 45. To add and subtract fractions the denominators must be the same
- 46. To multiply fractions we multiply top by top bottom by bottom
- 47. Negative x negative = Positive Positive x negative = negative
- 48. To divide fractions we invert the second fraction and multiply
- 49. Solve means to find the value of x= or y=
- 50. Simplify means collect all the like terms.
- 51. Expand means remove the brackets 2(x – 4) = 2x - 8
- 52. Factorise means put the brackets back in. Factor (outside bracket)
- 53. Change the subject means rearrange legally!!!
- 54. Expanding double brackets ( x + 4 )( x - 3 )
- 56. Inequalities treat like an equals 2x + 1 < 5
- 57. For sequences find the ‘goes up in’ and adjust 2, 5, 8, 11, ….
- 58. Conversions 1kg ~ 2.2 lbs 1 L ~ 1.75 pints 8 km ~ 5 miles 2.5 cm ~ 1 inch
- 59. Pythagoras’ theorem a² + b² = c² a b C
- 60. Locus means ‘the path of a point’
- 62. Plan view means a birds’ eye view
- 63. The four types of angles are Acute obtuse reflex right-angle
- 64. A perpendicular bisector cuts a line in half at right-angles
- 65. For sequences find the ‘goes up in’ and adjust.
- 66. The four types of triangle are equilateral isosceles right-angled scalene