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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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Example

Solve the following:

a. \( \sqrt {\frac{25}{64}}\: \div\: \sqrt {\frac{48}{108}} \)
b. \( \sqrt {\frac{1}{36}} \:\div \:\sqrt {\frac{4}{16}} \)
c. \( \sqrt {\frac{36 \: \times \: 98}{32}} \)

Solution

a. \( \sqrt {\frac{25}{64}}\: \div\: \sqrt {\frac{48}{108}} \\= \sqrt {\frac{5 \: \times \: 5}{8 \: \times \: 8}}\: \div\: \sqrt {\frac{3 \: \times \: 16 }{3 \: \times \: 36}} \\ = \sqrt {\frac{5 \: \times \: 5}{8 \: \times \: 8}}\: \div\: \sqrt {\frac{16 }{36}} \\ =\sqrt {\frac{5 \: \times \: 5}{8 \: \times \: 8}}\: \div\: \sqrt {\frac{4 \: \times \: 4 }{6 \: \times \: 6}}\\ = \frac{5}{8} \: \div \: \frac{4}{6}\\ = \frac{5}{8} \: \times \: \frac{6}{4} \\= \frac{30}{32} \\=\frac{15}{16} \)

b. \( \sqrt {\frac{1}{36}} \:\div \: \sqrt {\frac{4}{16}}\\ = \frac{1}{6} \: \div \: \frac{2}{4}\\ = \frac{1}{6} \: \times \: \frac{4}{2} \\=\frac{1}{3} \)

c. \( \sqrt {\frac{36 \: \times \: 98}{32}} \\= \sqrt {\frac{36 \: \times \: 2 \; \times \: 49}{16 \: \times \: 2}} \\= \sqrt {\frac{36 \: \times \: 49}{16}}\\ = \frac{6 \: \times \: 7}{4}\\ = \frac{3 \: \times \: 7}{2} \\= \frac{21}{2} \\ = \scriptsize 10 \normalsize \frac{1}{2}\)

Evaluation Questions:

A. Evaluate  the following

1. \( \scriptsize \sqrt{25 \: \div \: 9} \)

2. \( \scriptsize \sqrt{49 \: \div \: 4} \)

3. \( \scriptsize \sqrt{9 \: +\: 16} \)

4. \( \scriptsize \sqrt{80 \: + \: 30 \: – \: 46} \)

5. \( \scriptsize \sqrt{12 \: -\: 3} \)

6. \( \scriptsize \sqrt{1 \: +\: 6 \: \times \: 4} \)

7. \( \scriptsize \sqrt{64 \: -\: 7\: \times \: 4} \)

View Answers

B. Find the squares of the following:

1. \( \left( \scriptsize 2 \frac{1}{2} \right)^2 \)

2. \( \left( \scriptsize 1.5 \right)^2 \)

3. \( \left( \frac{4}{5} \right)^2 \)

4. \( \left( \frac{1}{2} \: +\: \frac{3}{2} \right)^2 \)

5. \( \left( \frac{3}{4}\right)^2 \: +\: \left(\frac{4}{5} \right)^2 \)

6. \( \left( \scriptsize 2.5 \right)^2 \)

7. \( \left( \scriptsize 0.3 \right)^2 \)

8. \( \left( \frac{9}{10} \right)^2 \)

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C. Find the value of the following:

1. \( \sqrt{ \frac{81}{64}} \)

2. \( \sqrt{ \frac{18}{200}} \)

3. \( \sqrt {\frac{72}{450}} \)

4. \( \sqrt {\frac{1}{36} }\)

5. \( \sqrt {\frac{4}{100}} \)

6. \( \sqrt{ \scriptsize 3 \frac{1}{16}} \)

7. \( \sqrt{ \scriptsize 6 \frac{1}{4}} \)

8. \( \sqrt{ \scriptsize 7 \frac{1}{9}} \)

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D. Evaluate the following:

1. \( \sqrt{\frac{4}{100} \: \times \: \frac{18}{8}} \)

2. \( \sqrt{\frac{16}{25} \: \div \: \frac{25}{64}} \)

3. \( \sqrt{\frac{18}{8} \: \div \: \frac{4}{16}} \)

4. \(\scriptsize \sqrt{0.5625} \)

5. \(\scriptsize \sqrt{2.25} \)

6. \(\scriptsize \sqrt{48 \: \div \: 3} \)

7. \(\scriptsize \sqrt{0.0049} \)

8. \(\scriptsize \sqrt{0.0001} \)

View Answers
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Responses

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Answers (A)

1. \(\frac{5}{3} = \scriptsize 1\frac{2}{3} \)

2. \(\frac{7}{2} = \scriptsize 3 \frac{1}{2} \)

3. 5

4. 8

5. 3

6.  5

7. 6

Answers (B)

1. \(\frac{25}{4} = \scriptsize 6 \frac{1}{4} \)

2. \(\frac{9}{4} = \scriptsize 2.25 \)

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

4. 4

5. \(\frac{9}{25} \)

6.  \(\scriptsize 6.25 \)

7. \(\frac{9}{100} = \scriptsize 0.09 \)

8. \(\frac{81}{100}  \)

Answers (C)

1. \( \scriptsize 1 \frac{1}{8} \)

2. \(\frac{3}{10} \)

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

4. \(\frac{1}{6} \)

5. \(\frac{1}{5} \)

6.  \( \scriptsize 1 \frac{3}{4} \)

7.  \( \scriptsize 2 \frac{1}{2} \)

8.  \( \scriptsize 2 \frac{2}{3} \)

Answers (D)

1. \(\frac{3}{10} \)

2. \(\frac{32}{25} = \scriptsize 1 \frac{7}{25} \)

3. 3

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

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

6.  4

7.  \(\frac{7}{100} \)

8. \(\frac{1}{100} \)

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