D)
(d) \[\frac{1}{64}\]
done
clear
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Does, every trapezium have a line of symmetry? If any, show it.
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| What will be |
| (a) \[\frac{-3}{5}\times 7?\] |
| (b) \[\frac{-6}{5}\times \left( -2 \right)?\] |
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In the figure, the two triangles are congruent. The corresponding parts are marked. We can write \[\Delta RAT\cong ?\]
| Divide: |
| (a) \[\frac{5}{11}\div \frac{-3}{8}\] |
| (b) \[\frac{7}{5}\div \frac{-2}{3}\] |
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solve the following equation: 6x + 18 = 8x + 12
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Three boys earned a total of Rs 235.50. What was the average amount earned per boy?
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In a ready-made garment shop the number of shirts sold per days during the month of December are given below: 32, 33, 30, 35, 40, 32, 33,40,36, 30, 32, 30, 36, 34, 33,40,32, 33,40,42, 35, 35, 30, 32, 33, 34, 33, 35 Make a Frequency distribution table for above data.
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| Find the product using suitable properties : |
| (a) \[26\times \left( -48 \right)+\left( -36 \right)\times \left( -48 \right)\] |
| (b) \[15\times \left( -25 \right)+\left( -4 \right)\times \left( -25 \right)\] |
| (c) \[7\times (50-2)\] |
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If \[\frac{2}{3}\]of a number is less than original number by 20, find the number.
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(A) Is l ||m? Why?  |
(B) Is I ||m? Why?  |
(C) Is I ||m? Why?  |
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The diagonals of a rhombus measure 16 cm and 30 cm. Then, find perimeter.
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A shopkeeper bought a chair for Rs 375 and sold it for Rs 400. Find the gain percentage.
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| Fill in the blanks: |
| (a) Additive inverse of \[\frac{2}{3}\]is??. |
| (b) \[\frac{-3}{5}+\frac{2}{5}=......\] |
| (c) \[\frac{-5}{6}+\frac{-1}{6}=......\] |
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ABC is a right angled triangle whose sides are AB = 8 cm, BC = 12 cm and AC = 13 cm. Find the area Of \[\Delta ABC\] and height \[BD\bot AC.\].
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| Simplify and express each of the following as exponential form: |
| (a) \[\left( \frac{{{a}^{5}}}{{{a}^{3}}} \right)\times {{a}^{8}}\] |
| (b) \[\frac{{{4}^{5}}\times {{a}^{8}}{{b}^{3}}}{{{4}^{5}}\times {{a}^{5}}{{b}^{2}}}\] |
| (c) \[{{\left( {{2}^{3}}\times 2 \right)}^{2}}\] |
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Can this be a net for a die? Explain your answer.
Find x, such that \[{{\left( \frac{1}{5} \right)}^{5}}\times {{\left( \frac{1}{5} \right)}^{19}}={{\left( \frac{1}{5} \right)}^{8x}}\]
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Fill in the blanks:
| Shape |
Centre of rotation |
Order of rotation |
Angle of rotation |
| 1. Square |
|
|
|
| 2. Rectangle |
|
|
|
| 3. Equilateral Triangle |
|
|
|
| 4. Circle |
|
|
|
| Find the value of the following expressions, for a =3,b =2: |
| (a) a + b |
| (b) 7a-4b |
| (c) \[{{a}^{2}}+2ab+{{b}^{2}}\] |
| (d) \[{{a}^{3}}-{{b}^{3}}\] |
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Find the height of the wall whose length is 4 m and which can be covered by 2400 tiles of size 25 cm by 20cm.
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Construct \[\Delta \]PQR, if PQ = 5 cm, m \[\angle \]PQR = \[105{}^\circ \] and m \[\angle \]QRP = \[40{}^\circ \]. (Hint: Recall angle-sum property of a triangle.)
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A ladder 17m long reaches a window which is 8 m above the ground on one side of street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window at a height of 15 m. Find the width of street.
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| Find: |
| (a) \[7\div 3.5\] |
| (b) \[36\div 0.2\] |
| (c)\[3.25\div 0.5\] |
| (d) \[30.94\div 0.7\] |
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In a school/ there are five sections of class VII. The number of students in each section is given below. Construct a bar graph representing this data:
| Section | A | B | C | D | E |
| Number of student | 40 | 48 | 52 | 45 | 30 |
