Question
In ∆MORE, l(MO) = 5.8 cm, l(OR) = 4.4 cm, m∠M = 58°, m∠O = 105°, m∠R = 90°.
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Solve the following equation and also check your result in case:
$\frac{9\text{x}+7}{2}-\Big(\text{x}-\frac{\text{x-2}}{7}\Big)=36$
→$\frac{9\text{x}+7}{2}-\Big(\text{x}-\frac{\text{x-2}}{7}\Big)=36$
In a parallelogram ABCD, AB = 10cm, AD = 6cm. The bisector of $\angle\text{A}$ meets DC in E. AE and BC produced meet at F. Find the length of CF.
→Construct a histogram for the following data:
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Monthly school fee (in Rs.)
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30-60
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60-90
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90-120
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120-150
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150-180
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180-210
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210-240
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Number of schools
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5
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12
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14
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18
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10
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9
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4
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The weekly wages (in Rs.) of 30 workers in a factory are given:
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840
Mark a frequency table with intervals as 800-810, 810-820 and so on, using tally marks. Also, draw a histogram and answer the following questions:
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840
Mark a frequency table with intervals as 800-810, 810-820 and so on, using tally marks. Also, draw a histogram and answer the following questions:
- Which group has the maximum number of workers?
- How many workers earn Rs. 850 and more?
- How many workers earn less than Rs. 850?
In the given figure, line p || line q, line l || line m. Find measures of ∠a, ∠b and ∠c, using the measures of given angles. Justify your answers.
In the given figure, ABCD is a trapezium in which AD || BC, $\angle\text{ABC}=90^\circ,$ AD = 16cm, AC = 41cm and BC = 40cm. Find the area of the trapezium.
→Construct a trapezium ABCD in which AB = 6cm, BC = 4cm, CD = 3.2cm, $\angle\text{B}=75^\circ$ and DC || AB.
→Employees of a company have been categorized according to their religions as given below:
Draw a pie-chart to represent the above information.
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Religions
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Hindu
|
Muslim |
Sikh
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Christian
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Total
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Number of Workers
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420
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300
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225
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105
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1080
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Show the following information by a percentage bar graph.
| Division of standard 8 | A | B | C | D |
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The final marks in mathematics of 30 students are as follows:
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Now answer the following:
53, 61, 48, 60, 78, 68, 55, 100, 67, 90, 75, 88, 77, 37, 84, 58, 60, 48, 62, 56, 44, 58, 52, 64, 98, 59, 70, 39, 50, 60.
Now answer the following:
- Arrange these marks in the ascending order, 30 to 39 one group, 40 to 49 second group etc.
- What is the highest score?
- What is the lowest score?
- What is the range?
- If 40 is the pass mark how many have failed?
- How many have scored 75 or more?
- Which observations between 50 and 60 have not actually appeared?
- How many have scored less than 50?