SCO – NPMD FIRST YEAR REVISION COMMON COURSE
1
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
2
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
3
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
4
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
5
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
6
Fractions:
SCO – NPMD FIRST YEAR REVISION COMMON COURSE
7
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
8
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
9
Algebra
SCO – NPMD FIRST YEAR REVISION COMMON COURSE
10
SCO – NPMD FIRST YEAR REVISION COMMON COURSE
11
Perimeter and area
SCO – NPMD FIRST YEAR REVISION COMMON COURSE
12
Perimeter and Area
SCO – NPMD FIRST YEAR REVISION COMMON COURSE
13
Triangles
SCO – NPMD FIRST YEAR REVISION COMMON COURSE
14
Algebra
SCO – NPMD FIRST YEAR REVISION COMMON COURSE
15
SCO – NPMD FIRST YEAR REVISION COMMON COURSE
16
Percentages