Welcome to our National 5 Mathematics Differentiated Online Textbook!
To download an exercise please click on the links below. Print back to back if you want to include the answers. If you just want the questions, be sure to just print page 1.
If students require a lesson before hand to access the outcomes covered in the textbook exercises you will find around 200 of them here. Simply copy and paste the video lessons into your desired platform to share with your students, e.g. Show my Homework, GLOW, Edmodo, etc.
2. Rationalising the denominator
3. Multiplying and dividing indices
5. Scientific notation and the calculator
6. Multiplying out single brackets
7. Multiplying out double brackets
8. Multiplying out "triple" brackets
11. Trinomials
13. Simplifying algebraic expressions
14. Adding and subtracting algebraic fractions
15. Multiplying algebraic fractions
16. Dividing algebraic fractions
17. Calculating the gradient of a straight line
18. Calculating the length of an arc
19. Calculating the area of a sector
20. Calculating the volume of a cylinder
21. Calculating the volume of a cone
22. Calculating the volume of a sphere
23. Rounding to 1/2/3 significant figures
24. Determining the gradient and the y-intercept
25. Determining the equation of a straight line
26. Calculating the equation of a straight line
28. Evaluating functions - working backwards
30. Solving linear inequalities
31. Solving simultaneous equations
32. Changing the subject of the formula - part 1
33. Changing the subject of the formula - part 2
34. Recognising and determining the equation of a quadratic
35. Sketching a quadratic function
36. Identifying key features of a quadratic function
37. Solving quadratic equations graphically
38. Solving quadratic equations by factorising
39. Solving quadratic equations using the quadratic formula
40. The discriminant
41. Applying Pythagoras' Theorem
42. Angles in polygons and circles
43. Similar shapes - calculate length
44. Similar shapes - calculate area
45. Similar shapes - calculate volume
46. Identifying features on trigonometric graphs
47. Sketching trigonometric graphs
49. Solving trigonometric equations
50. Trig identities
52. The sine rule
53. The cosine rule
54. Adding and subtracting vectors
55. 2D vectors, 3D coordinates and vector journeys
58. Undoing a percentage increase or decrease
59. Appreciation
60. Depreciation
61. Adding and subtracting fractions
66. Scattergraphs