SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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First Year Maths Revision List 1. Natural Numbers – Chapter 1 2. Integers – Chapter 2 3. Fractions – Chapter 3 4. Decimals – Chapter 4 5. Patterns – Notes in hardback copy. 6. Algebra – Chapter 6 7. Percentages – Chapter 7 8. Probability – Chapter 8 9. Perimeter and Area – Chapter 9 10. Geometry 1: Points, angles and lines – Chapter 10 11. Geometry 2: Triangles – Chapter 15 12. Ratio and Proportion – Chapter 11 Revision should consist of the following: • Go over the test yourself section at the end of each chapter. • Go over your maths tests. • Use your hardback, book and internet to help you with revision. • Practice, practice, practice ……… Good websites: www.mathsisfun.ie www.projectmaths.ie www.khanacademy.org , www.ixl.com

Maths Grade for First Year – combination of class test and summer exam: - Class tests = 60% - Summer Exam = 40%

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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Natural Numbers

Write down the factors of each of the following numbers:

1. 4 2. 10 3. 35 4. 49

Find the highest common factor of each of the following:

5. 10, 20 6. 8, 12, 36 7. 6, 15 8. 18, 36, 45

Find the lowest common multiple of each of the following:

9. 2, 3 10. 5, 6 11. 2, 3, 4 12. 8, 12, 18

Integers

Calculate each of the following:

1. 11 – 7

2. – 2 + 6

3. – 3 – 7

4. – 9 + 15

5. – 4 (– 5)

6. (– 3)2

7. ( 50 ÷ 10 ) + ( 40 ÷ 8 )

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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8. 3(4)2 + 4(4) + 4

9. 4(5 – 4)2

10. 5 (3 × 4 – 5) 11. 2(– 8 + 3)2

12. (4+12) ÷2

2( 10−8)

13. 15 ÷3+72( −1)2

14. 36 ÷( 6−2)+ 12(10−8)

15. (4)2+9�√4�− 16√25+ (2)2

Natural Numbers

Calculate each of the following:

1. 23

2. (7 – 4)2

3. 42 + 22

4. (18 ÷ 3)2

5. 10 × 8 ÷ 4

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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6. (3 + 1)2 ÷ (10 – 2)

7. 43 + 33

8. √9 + √16

9. 5√16 + 3√4

10. 3(4)2 + 5(2)2 – 6

11. 202+3

12. √16 + 9

13. 3 ×5+34+2

14. √100− √81 15. √32 + 42 16. √9 ×7 + 1

17. (5+3)5 ×2+6

2

18. 3(4)2 + 4(2)3 – 17 19. √225+ 3

√36

20. 26

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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Geometry - L.O – To use a protractor to measure angles

Tip: Make sure you line up the cross of the protractor with the corner of the angle.

Challenge: Write whether each angle is an obtuse, acute or right angle. Then use a protractor to measure each angle.

Now can you use the protractor to draw angles of the following degrees?

1) 45°

2) 120°

3) 20°

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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Fractions:

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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1. Fill in the gaps on these equivalent fractions. Remember to do the same to the numerator and the denominator

a) 14

=8

b) 410

= 40 c) 37

=21

d) 8

= 1216

e) 69

=45

f) 8 = 3260

2. Solve the following fraction multiplications and simplify your answers.

Multiply the numerators and multiply the denominators.

Example: 12

× 34

= 1×32×4

= 38

a) 23

× 45

=

b) 45

× 68

=

c) 710

× 24

=

d) 12

× 67

=

e) 911

× 23

=

f) 58

× 36

=

3. Divide the following fractions. Remember “Flip it and kiss it” so flip the second fraction and then multiply them together.

a) 12

÷ 45

= b) 56

÷ 73

=

c) 710

÷ 69

= d) 69

÷ 35

=

4. Change the following into mixed numbers.

Example: 97

= 77

+ 27

= 1 27

a) 1410

=

b) 237

=

c) 185

=

d) 256

=

5. Multiply these decimals.

Take out the decimal point, multiply, then put the decimal back in.

NO CALCULATORS PLEASE!

a) 4.6x7= b) 3x8.5= c) 7.2x1.3=

d) 3.5x6.9= e) 4.8x2.2= f) 6.2x8.4=

g) 12.5x63.2= h) 23.5x52.1=

6. Order these decimals from smallest to largest.

a) 0.83 0.883 0.08 0.8 0.0088 0.083 b) 0.632 0.634 0.064 0.006 0.6 0.63

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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7. Copy and complete the table:

50% 10% 37% 81% 12% 100 365 851 936

8. Percentage increase: Find the percentage of the amount and then add it on to the original amount.

a) increase £200 by 50%

b) Increase 450cm by 25%

c) Increase 34kg by 72%

d) increase 600miles by 48%

9. Percentage decrease: Find the percentage of the amount and then subtract this from the original amount.

a) Decrease 372cm by 17%

b) Decrease £852 by 20%

c) Decrease 150g by 45%

d) Decrease 47km by 30%

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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Algebra

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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Perimeter and area

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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Perimeter and Area

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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Triangles

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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Algebra

SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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SCO – NPMD FIRST YEAR REVISION COMMON COURSE

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Percentages