| What is the probability of picking up an ace from set of 52 cards? |
| (a) \[\frac{1}{13}\] |
| (b) \[\frac{2}{6}\] |
| (c) \[\frac{3}{6}\] |
| (d) \[\frac{4}{6}\] |
| Draw the line of symmetry for given figures: |
(a)  |
(b)  |
| Examine if the following are true statements: |
| (a) The cube can cast a shadow in the shape of a rectangle. |
| (b) The cube can cast a shadow in the shape of a hexagon. |
| (a) \[\frac{4}{5}\]of 45 is_____ |
| (b) \[4\times 6\frac{1}{3}\]is equal to _____ |
| (c) \[\frac{1}{2}of\text{ }4\frac{2}{7}\]is_____ |
| (a) A green grocer had a profit of Rs 47 on Monday, a loss of Rs 12 on Tuesday and loss of Rs 8 on Wednesday. |
| Find his net profit or loss in 3 days. |
| (b) What is the additive inverse for integers? |
| Marks | 20 | 30 | 40 | 50 | 60 | 70 |
| Number of student | 12 | 45 | 48 | 5 | 32 | 40 |
| In given figure \[\Delta \]ABC is an isosceles triangle with AB = AC. |
 |
| Take a trace-copy of \[\Delta \]ABC and also name it as \[\Delta \]ACB. |
| (a) State the three pairs of equal parts in \[\Delta \]ABC and \[\Delta \]ACB. |
| (b) Is\[\Delta ABC\cong \Delta ACB\]? Why or why not? |
| (c) Is \[\angle \]B = \[\angle \]C? |
| (a) \[\frac{-9}{10}+\frac{22}{15}\] |
| (b) \[\frac{5}{63}-\left( \frac{-6}{21} \right)\] |
| (c) \[\frac{-6}{5}\times \frac{9}{11}\] |
| If a = 2, b=- 2, find the value of: |
| (a)\[{{a}^{2}}+{{b}^{2}}\] |
| (b)\[{{a}^{2}}+ab+{{b}^{2}}\] |
| (c) \[{{a}^{2}}-{{b}^{2}}\] |
| Simplify and express each of the following as exponential form: |
| (a) \[{{2}^{\circ }}\times {{3}^{\circ }}\times {{4}^{\circ }}\] |
| (b)\[\left( 3{}^\circ \text{ }+\text{ }2{}^\circ \right)\text{ }\times \text{ }5{}^\circ \] |
| (c) \[\frac{{{2}^{8}}\times {{a}^{5}}}{{{4}^{3}}\times {{a}^{3}}}\] |
| The cards bearing letter of the word 'MATHEMATICS' are placed in a bag. A card is taken out from the bag without looking into the bag (at random). |
| (a) How many outcomes are possible when a letter is taken out of the bag at random? |
| (b) What is the probability of getting: |
| (i) M? |
| (ii) Any vowel? |
| (iii) Any consonant? |
| (iv) X? |
| (a) Find the angle which is equal to its complement. |
| (b) Find the angle which is equal to its supplement. |
| Find the unknowns length x in the following figures: |
(a)  |
(b)  |
(c)  |
(d)  |
| Find the amount to be paid at end of 3 years in each case: |
| (a) Principal = Rs 1,200 at 12% p.a. |
| (b) Principal = Rs 7,500 at 5% p.a. |
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