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JSS2: MATHEMATICS - 1ST TERM

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  1. Properties of Whole Numbers I | Week 1
    4 Topics
    |
    1 Quiz
  2. Properties of Whole Numbers II | Week 2
    4 Topics
    |
    1 Quiz
  3. Properties of Whole Numbers III | Week 3
    5 Topics
    |
    1 Quiz
  4. Indices | Week 4
    2 Topics
    |
    1 Quiz
  5. Laws of Indices | Week 5
    5 Topics
    |
    1 Quiz
  6. Whole Numbers & Decimal Numbers | Week 6
    4 Topics
    |
    1 Quiz
  7. Standard Form | Week 7
    3 Topics
    |
    1 Quiz
  8. Significant Figures (S.F) | Week 8
    4 Topics
    |
    1 Quiz
  9. Fractions, Ratios, Proportions & Percentages I | Week 9
    6 Topics
    |
    1 Quiz
  10. Fractions, Ratios, Proportions & Percentages II | Week 10
    4 Topics
    |
    1 Quiz
  11. Fractions, Ratios, Proportions & Percentages III | Week 11
    3 Topics
    |
    1 Quiz
  12. Approximation & Estimation | Week 12
    1 Topic
    |
    1 Quiz



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To express one quantity as a percentage of another, write the first quantity as a fraction of the second and then multiply by 100.

Example 1

a. What percentage of 550g  is 11g?

b. What percentage of 800 is 300?

c. What percentage of ₦2 is 50 kobo?

d. What percentage of 3kg  is 300g

Solution

a. Fraction of the quantity =  \( \frac{11g}{550g} \\ = \frac{1}{50} \)

% of quantity  =  \( \frac{1}{50} \scriptsize \: \times \: 100\% \scriptsize = 20\%\)

b. Fraction of the quantity =  \( \frac{300}{800}= \frac{3}{8} \)

% of quantity  =  \( \frac{3}{8} \scriptsize \: \times \: 100\% \\ = \frac{3 \: \times \: 100}{8}\\ = \frac{3 \: \times \: 25}{2} \\ = \frac{75}{2} \\ = \scriptsize 37.5\%\)

c. Fraction of the quantity =  \( \frac{50 \: kobo}{₦2}\)

₦  and kobo are different units.

Convert  ₦ to kobo

₦1 = 100 kobo

₦2  = 100 x 2 =  200 kobo

Fraction of the quantity =  \( \frac{50 \: kobo}{200 \: kobo} \\ = \frac{1}{4}\)

% of quantity  =  \( \frac{1}{4} \scriptsize \: \times \: 100\% \scriptsize = 25\%\)

d. Fraction of the quantity =  \( \frac{300g}{3kg}\)

But g and kg are different units.

Convert kg to g.

1kg  = 1000g

3kg  = 3 x 1000g   =   3000g

Fraction of the quantity =  \( \frac{300g}{3000g} = \frac{3\not{0}\not{0}g}{30\not{0}\not{0}g} \\ = \frac{3}{30} \\ = \frac{1}{10}\)

% of quantity  =  \( \frac{1}{10} \scriptsize \: \times \: 100\%\\ = \scriptsize 10\%\)

Evaluation Questions:

1. Change the following to a terminating decimal:

a. \( \frac{3}{5} \)

b. \( \frac{3}{4} \)

c. \( \scriptsize 5 \frac{3}{4} \)

d. \( \frac{1}{2} \)

e. \( \frac{3}{8} \)

View Answers

2. Change the following to recurring decimals:

a. \( \frac{2}{3} \)

b. \( \frac{4}{7} \)

c. \( \frac{5}{7} \)

d. \( \scriptsize 5 \frac{1}{3} \)

e. \( \frac{5}{6} \)

f. \( \frac{1}{9} \)

g. \( \scriptsize 8 \frac{2}{3} \)

h. \( \frac{2}{11} \)

View Answers

3. Express the following as percentages

a.    0.4
b.    0.15
c.    0.025
d.    0.375
e.    0.468
f.    0.0425
g.    38.25
h.    0.0001

View Answers

4. Convert the following  percentage to fraction in its simplest form

a.    25%
b.    150%
c.    32%
d.    50%
e.    42%
f.    64%
g.    24.2%

View Answers

5. Change the following to decimal:

a. \( \scriptsize 80 \frac{2}{5} \%\)

b. 36.05%

c. 50%

d. 25%

e. \( \scriptsize 80 \frac{2}{5} \%\)

f. 20%

View Answers

6. Calculate the following 

a.    20% of 240
b.    5% of 500
c.     2 ½ % of 400
d.    25% of 600kg
e.    20% of ₦250
f.    25% of 120 girls
g.    2.5% of 800
h.    4 ½% of 1000g

View Answers

Responses

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Evaluation Questions (1)

Answers:

a. 0.6

b. 0.75

c. 5.75

d. 0.5

e. 0.375

Evaluation Questions (2)

Answers:

a. 0.6666

b. 0.571 428

c. 0.714 285

d. 5.333

e. 0.8333

f. 0.1111111

g. 2.6666

h. 0.1818

Evaluation Questions (3)

Answers:

a. 40%

b. 15%

c. 2.5%

d. 37.5%

e. 46.8%

f. 4.25%

g. 3825%

h. 0.01%

Evaluation Questions (4)

Answers:

a. \( \frac{1}{4} \)

b. \( \frac{3}{2} = \scriptsize 1 \frac{1}{2} \)

c. \( \frac{8}{25} \)

d. \( \frac{1}{2} \)

e. \( \frac{21}{50} \)

f. \( \frac{16}{25} \)

g. \( \frac{121}{500} \)

h. 0.01%

Evaluation Questions (5)

Answers:

a. 0.804

b. 0.3605

c. 0.5

d. 0.25

e. 0.155

f. 0.2

Evaluation Questions (6)

Answers:

a. 48

b. 25

c. 10

d. 150kg

e. ₦50

f. 30 girls

g. 20

h. 45g

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