1. National 5 Homework: Surds Feedback: /15 grade
Name date due:
1) Simplify
3) In triangle ABC:
<ACB = 90o
AB = 8cm
AC = 4 cm
Calculate the length of BC
Giving your answer as a surd in its simplest form.
(3)
a) √2 x √18
(1)
(2)
b) √2 + √18
c) Hence show that √2 x √18 = 3√2
(2)
√2 + √18 4
2) Simplify
4) Express 3
as a fraction with a rational denominator.
(2) √5
a) 2√20 - 3√5
(2)
b) √2(3√8 - 5√3)
(3)

2. National 5 Homework: Indices Feedback: /16 grade
Name date due:
1) Express in its simplest form:
5) Expand: m½ (2 + m2)
(2)
(2)
6) Simplify: m3 x √m
(2)
2) Evaluate:
(2) 3)
(2) 7)
(2) 8)
(2)
4) Evaluate:
(2)

3. National 5 Homework: Breaking Brackets Feedback: /21 grade
Name date due:
Expand the brackets and simplify if possible
7. (3x - 2)(2x2 + x + 5)
(3)
3(2x - 4) – 4(3x + 1)
(3)
2. (2x + 5)(3x – 5y)
(2) 8.
3. 2(y-3)2
(2)
4. (2x + 3)2 - 3(x2-6)
(3)
(3)
5. x(x-1)2
(2)
(3)
6. (3x + 1)(x2 – 5x + 4)

4. National 5 Homework: Factorising Feedback: /18 grade
Name date due:
Fully factorise the expressions
7. x2 - y2
x2 + 6x + 8
(2)
Hence find the value of
without using a calculator
(3)
2. x2 + 2x - 15
(2)
3. x2 - 5x - 24
(2)
8. p2 - 4q2
4. 2p2 - 7p - 15
(2)
b. Hence simplify p2 - 4q2
5. 3m2 - 7m + 2
(2)
3p + 6q
(3)
(2)
6. 4p

5. National 5 Homework: Algebraic Fractions Feedback: /15 grade
Name date due:
1) Express as a fraction in its simplest form:
(2)
4) Express as a fraction in its simplest form:
(3)
2) Express as a fraction in its simplest form:
(3)
5) Express in its simplest form:
(3)
(2)
3) Express as a fraction in its simplest form:
(2)
6) Factorise:
Hence simplify

6. National 5 Homework: Fractions Feedback: /14 grade
Name date due:
Evaluate the following, remember BIDMAS and that ‘of’ means X 1)
(2) 4)
(2) 2)
(2) 5)
(3) 6)
(3) 3)
(2)

7. National 5 Homework: Percentage Calculations Feedback: /13 grade
Name date due: 1) 3)
(3)
(4) 2) 4)
(3)
(3)

8. National 5 Homework: Vectors Feedback: /11 grade
Name date due: 1) 3)
(3)
(2) 2) 4)
(4)
(2)

9. National 5 Homework: Straight Lines Feedback: /12 grade
Name date due: 1)
(1) 4)
(3) 2)
(3) 5)
(3)
(2) 3)

10. National 5 Homework: Arcs & Sectors Feedback: /15 grade
Name date due: 1)
(4) 3)
(3) 2) 4)
(4)
(4)

11. National 5 Homework: Volume Feedback: /15 grade
Name date due: 1) 3)
(2)
(5) 2)
(3)
(5)

12. National 5 Homework: Equations & Inequalities Feedback: /17 grade
Name date due: 1)
(3) 4)
(3) 2)
(3) 5)
(3) 3)
(3) 6)
(2)

13. National 5 Homework: Simultaneous Equations Feedback: /10 grade
Name date due: 1) 2)
(6)
(4)

14. National 5 Homework: Changing the Subject of a Formulae
Feedback: /16 grade
Name date due: 1)
(3) 4)
(3) 2)
(2) 5)
(3) 3)
(2) 6)
(3)

15. National 5 Homework: Graphs of Quadratic Functions Feedback: /20 grade
Name date due: 1)
(6) 3)
(5) 2) 4)
(5)
(2) 5)
(2)

16. National 5 Homework: Quadratic Equations Feedback: /22 grade
Name date due: 1)
(4) 4)
(5) 2)
(2) 5)
(7) 3)
(4)

17. National 5 Homework: Pythagoras’ Theorem Feedback: /8 grade
Name date due: 1) 2)
(4)
(4)
(4)

18. National 5 Homework: Properties of Shapes Feedback: /10 grade
Name date due: 1)
(4) 3)
(2) 4)
(3) 2)
(1)

19. National 5 Homework: Similar Shapes Feedback: /9 grade
Name date due: 1) 2)
(3)
(3) 3)
(3)

20. National 5 Homework: Trigonometric Functions Feedback: /12 grade
Name date due: 1)
(2) 4)
(2) 5)
(2) 2)
(1) 6)
(3) 3)
180
360 40 x y
y = asinx + b
(2)

21. National 5 Homework: Using Trigonometry Feedback: /14 grade
Name date due: 2) 1)
(4)
(3)
(4) 3)
(3)

22. National 5 Homework: Scattergraphs Feedback: /8 grade
Name date due: 1) 2)
(4)
(4)

23. National 5 Homework: Comparing Distributions Feedback: /7 grade
Name date due: 1) 2)
(3)
(4)

24. Topic – tick box when revised
1. Rounding
2. Surds
3. Using Indices
4. Algebraic Expressions
5. Algebraic Fractions
6. Gradient
7. Arcs & Sectors
8. Volume
9. Equation of a Straight Line
10. Equations & Inequalities
11. Simultaneous Equations
12. Formulae
13. Graphs of Quadratic Functions
14. Quadratic Equations
15. Pythagoras Theorem
16. Properties of Shapes
17. Similar Figures
18. Trigonometric Functions
19. Using Trigonometry
20. Vectors
21. Percentages
22. Working with Fractions
23. Comparing Distributions
24. Scattergraphs
Topic – tick box when revised
1. Rounding
2. Surds
3. Using Indices
4. Algebraic Expressions
5. Algebraic Fractions
6. Gradient
7. Arcs & Sectors
8. Volume
9. Equation of a Straight Line
10. Equations & Inequalities
11. Simultaneous Equations
12. Formulae
13. Graphs of Quadratic Functions
14. Quadratic Equations
15. Pythagoras Theorem
16. Properties of Shapes
17. Similar Figures
18. Trigonometric Functions
19. Using Trigonometry
20. Vectors
21. Percentages
22. Working with Fractions
23. Comparing Distributions
24. Scattergraphs