| Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of: |
| (a) Number of students liking football to number of students liking tennis. |
| (b) Number of students liking cricket to total number of students. |
(a) In the figure, I is the line of symmetry. Draw the image of the triangle and complete the diagram so that it becomes symmetric.  | ||
| (b) Find the number of symmetry in each of the following shapes. How will you check your answer? | ||
(i)  | (ii) )  | (iii)  |
| Estimate the following products: |
| (a) \[87\times 313\] |
| (b) \[9\times 795\] |
| (c) \[898\times 785\] |
| (d) \[958\times 387\] |
| Make five more such problems and solve them |
| Write the predecessor of: |
| (a) 94, |
| (b) 10000, |
| (c) 208090, |
| (d) 7654321 |
| The sale of electric bulbs on different days of a week is shown below: |
 |
| Observe the pictograph and answer the following questions. |
| (a) How many bulbs were sold on Friday? |
| (b) On which day were the maximum number of bulbs sold? |
| (c) On which of the days same number of bulbs were sold? |
| (d) On which of the days minimum number of bulbs were sold? |
| (e) If one big carton can hold 9 bulbs. How many cartons were needed in the given week? |
| Bachhu Manjhi earns 24000 in 8 months. At this rate. |
| (a) how much does he earn in one year? |
| (b) in how many months does he earn? 42000? |
| Given \[\overline{AB}\] of length 3.9 cm, construct \[\overline{PQ}\] such that the length of \[\overline{PQ}\] is twice that of \[\overline{AB}\] . Verify by measurement. |
 |
| (Hint: Construct such that length of \[\overline{PX}\]= length of \[\overline{AB}\], then cut off \[\overline{XQ}\], such that \[\overline{XQ}\] also has the length as \[\overline{AB}\],). |
| The following bar graph shows the number of houses (out of 100) in a town using different types of fuels for cooking. |
| Read the bar graph and answer the following questions: |
| Scale: 1 unit length = 5 houses |
 |
| (a) Which fuel is used in maximum number of houses? |
| (b) How many houses are using coal as fuel? |
| (c) Suppose that the total number of houses in the town is 1 lakh. |
| From the above graph estimate the number of houses using electricity. |
| Find the product by a suitable rearrangement: |
| (a) \[2\times 1768\times 50\] |
| (b) \[4\times 166\times 25\] |
| (c) \[8\times 291\times 125\] |
| (d) \[625\times 279\times 16\] |
| (e) \[285\times 5\times 60\] |
| (f) \[125\times 40\times 8\times 25\] |
| What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from? |
| (a) 3 to 9 |
| (b) 4 to 7 |
| (c) 7 to 10 |
| (d) 12 to 9 |
| (e) 1 to 10 |
| (f) 6 to 3 |
| Name each of the following triangles in two different ways: (you may judge the nature of the angle by observation): | ||
(a)  | (b)  | (c)  |
(d)  | (e)  | (f)  |
| The bar graph given below represents approximate length (in kilometres) of some National Highways in India. Study the bar graph and answer the following questions: |
| Scale: 1 unit length = 200 km |
 |
| (a) Which National Highway (N.H.) is the longest among the above? |
| (b) Which National Highway is the shortest among the above? |
| (c) What is the length of National Highway 9? |
| (d) Length of which National Highway is about three times the Nation Highway 10? |
| Change the following statements using expressions into statements in ordinary language. |
| (For example. Given Salim?s scores runs in a cricket match, Nalin scores (r + 15) runs. In ordinary language. Nalin score 15 runs more than Salim.) |
| (a) A notebook costs Rs. p. A Book costs Rs. 3 p. |
| (b) Tony puts q marbles on the table. He has 8 q marbles in his box. |
| (c) Our class has n students. The school has 20 n students. |
| (d) Jaggu is z years old. His uncle is 4 z years old and his aunt is (4 z ? 3) years. |
| (e) In an arrangement of dots there are r rows. Each row contain 5 dots. |
| How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are respectively. |
| (a) 100 cm and 144 cm |
| (b) 70 cm and 36 cm. |
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