| What will be the measure of the supplement of each one of the following angles? |
| (a)\[100{}^\circ \] |
| (b) \[90{}^\circ \] |
| Find: |
| (a) \[2.5\times 0.3\] |
| (b) \[0.1\text{ }\times \text{ }51.7.\] |
| Solve for y: |
| (a) \[2y+\frac{5}{2}=\frac{37}{2}\] |
| (b) \[\frac{y}{5}+3=2\] |
| Answer the following: |
| (a) Which pyramid is called tetrahedron? |
| (b) How many vertices are there in a pentagonal pyramid? |
| Find: |
| (a) \[\frac{7.75}{0.25}\] |
| (b)\[\frac{42.8}{0.02}\] |
| (c) \[\frac{5.6}{1.4}\] |
| Solve the following equations: |
| (a) 4 = 5 (p - 2) |
| (b) -4 = 5 (p - 2) |
| (c) -16 = -5 (2 - p) |
| State True or False: |
| (a) Two right angles are complementary to each other. |
| (b) One obtuse angle and one acute angle can make a pair of complementary angles. |
| (c) Two supplementary angles are always obtuse angles. |
| If p = - 2, find the value of: |
| (a) 4p+7 |
| (b)\[-3{{p}^{2}}+4p+7\] |
| (c) \[-2{{p}^{3}}-3{{p}^{2}}+4p+7\] |
| Simplify: |
| (A) \[\frac{{{\left( {{2}^{5}} \right)}^{2}}\times {{7}^{3}}}{{{8}^{3}}\times 7}\] |
| (B) \[\frac{25\times {{5}^{2}}\times {{t}^{8}}}{{{10}^{3}}\times {{t}^{4}}}\] |
| (c) \[\frac{{{3}^{5}}\times {{10}^{5}}\times 25}{{{5}^{7}}\times {{6}^{5}}}\] |
| State the number of lines of symmetry for the following figures: |
| (a) An equilateral triangle |
| (b) An isosceles triangle |
| (c) A scalene triangle |
| (d) A square |
| (e) A rectangle |
| (f) A rhombus |
| For the following data make a frequency distribution table and answer the following questions: |
| 40, 38, 40, 37, 35, 33, 38, 31, 35, 40, 38, 38, 33, 40, 35, 31, 30, 37, 33, 30, 32, 38. |
| (a) What is the range of given data? |
| (b) What is the mode of given data? |
| In the given figure, EF || GH, \[\angle \]EAB = \[60{}^\circ \] and \[\angle \]ACH =\[105{}^\circ \], then find the values of: |
| (a) \[\angle \]CAF, |
| (b) \[\angle \]BAC |
 |
| (a) Chalk contains calcium carbon and oxygen in the ratio 10: 3:12. Find the percentage of carbon in chalk. |
| (b) If in a stick of chalk carbon is 3 g what is the weight of the chalk stick? |
| Takings =\[\frac{-4}{9}\], y =\[\frac{5}{12}\] and z =\[\frac{7}{18}\], find: |
| (a) the rational number which when added to x gives y. |
| (b) the rational number which subtracted from y gives z. |
| (c) the rational number which when added to z gives us x. |
| (d) the rational number which when multiplied by y to get x. |
| A path 1 m wide is built along the border inside a square garden of side 30 m. Find |
| (a) The area of the path, |
| (b) The cost of planting grass in the remaining portion of the garden at the rate of Rs 40 per\[{{m}^{2}}\]. |
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