Draw any circle and mark points A, B and C such that |
(i) A is on the circle. |
(ii) B is in the interior of the circle. |
(iii) C is in the exterior of the circle. |
In the given fig the point C is the image of point A in line I and line segment BC intersects the line I at P. |
(a) Is the image of P in line I the point P itself? |
(b) Is PA=PC? |
(c) Is PA + PB = PC + PB? |
(d) Is P that point on line I from which the sum of the distances of point A and B is minimum? |
Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points: |
(a) If point D is + 8, then which point is ? 8? |
(b) Is point G a negative integer or a positive integer? |
(c) Write integers for points B and E. |
(d) Which point marked on this number line has the least value? |
(e) Arrange all the points in decreasing order of value? |
Villages | Number of animals |
Village A | 80 |
Village B | 120 |
Village C | 90 |
Village D | 40 |
Village E | 60 |
Prepare a pictograph of these animals using one symbol \[\otimes \] to represent 10 animals and answer the following questions: | |
(a) How many symbols represent animals of village E? | |
(b) Which village has the maximum number of animals? | |
(c) Which village has more animals: village A or village C? |
Sr. No | Length of Rectangle | Breadth of Rectangle | Perimeter By adding all the sides | Perimeter by 2 \[\mathbf{\times }\] (length \[\mathbf{\times }\] breadth) |
(i) | 25 cm | 12 cm | \[25\,\,cm+12\text{ }cm+\]\[25\text{ }cm+12\text{ }cm\] \[=74\text{ }cm\] | \[=2\times (25\,\,cm\]\[+12\,\,cm)\] \[=2\times (37\,\,cm)\] \[=74cm\] |
(ii) | 0.5 m | 0.25 m | ||
(iii) | 18 cm | 15 cm | ||
(iv) | 10.5 cm | 8.5 cm |
(a) Given, Mannu?s age to be x years, can you guess, what \[(x-2)\] may show? Can you guess what \[(x+4)\]may show? What \[(3x+7)\] may show? |
(b) Given Sara?s age today to be y years. Think of her age in the future in the past. What will the following expression indicate? |
\[(y+7),(y-3),\left( y+4\frac{1}{2} \right),\left( y-2\frac{1}{2} \right)\] |
(c) Given, n students in the class like football what may 2 n show? What may \[\frac{n}{2}\] show? |
Write True or False against each of the following statements: |
(a) \[16:24::20:30\] |
(b) \[~21:6::35:10\] |
(c) \[12:18::28:12\] |
(d) \[8:9::24:27\] |
(e) \[5.2:3.9::3:4\] |
(f) \[0.9:0.36::10:4\] |
On a squared paper sketch the following: |
(a) A triangle with a horizontal line of symmetry but no vertical line of symmetry. |
(b) A quadrilateral with both horizontal and vertical lines of symmetry. |
(c) A quadrilateral with a horizontal line of symmetry but no vertical line of symmetry. |
(d) A hexagon with exactly two lines of symmetry. |
(e) A hexagon with six lines of symmetry. |
(Hint: It will be helpful if you first draw the lines of symmetry and then complete the figure.) |
Cost of 5 kg. of wheat is Rs. 30.50 |
(a) What will be the cost of 8 kg of wheat? |
(b) What quantity of wheat can be purchased in Rs. 61? |
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