Question
In your note-book copy the following angle using ruler and a pair compass only.
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The adjoining figure shows two straight lines AB and CD intersecting at point P. If ∠BPC = 4x – 5° and ∠APD = 3x + 15°; find:
(i) the value of x.
(ii) ∠APD
(iii) ∠BPD
(iv) ∠BPC
(i) the value of x.
(ii) ∠APD
(iii) ∠BPD
(iv) ∠BPC
Arrange the given fractions in ascending order of magnitude:
$\frac{2}{3}, \frac{5}{9}, \frac{5}{6}, \frac{3}{8}$
→$\frac{2}{3}, \frac{5}{9}, \frac{5}{6}, \frac{3}{8}$
The following data represents the weekly wages (in ₹) of 15 workers in a factory:
900, 850, 800, 850, 800, 750, 950, 900, 950, 800, 750, 900, 750, 800 and 850.
Prepare a frequency distribution table. Now find,
(i) how many workers are getting less than ₹850 per week?
(ii) how many workers are getting more than ₹800 per week?
900, 850, 800, 850, 800, 750, 950, 900, 950, 800, 750, 900, 750, 800 and 850.
Prepare a frequency distribution table. Now find,
(i) how many workers are getting less than ₹850 per week?
(ii) how many workers are getting more than ₹800 per week?
In a trapezium ABCD, side AB is parallel to side DC. If ∠A = x° and ∠D = (3x – 20)°; find the value of x.
Draw a line segment PQ = 8cm. Construct the perpendicular bisector of the line segment PQ. Let the perpendicular bisector drawn meet PQ at point R. Measure the lengths of PR and QR. Is PR = QR?
Construct a triangle ABC given BC = 5 cm, AC = 6 cm and ∠C = 75°. Draw the bisector of the interior angle at A. Let this bisector meet BC at P ; measure BP
Find the value of x if ∠A = 32°, ∠B = 55° and obtuse angle AED = 115°.
Using the data, given below, construct a frequency distribution table:
9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9, 12, 18, 17, 19, 20, 25, 9 and 12.
Now answer the following:
(i) How many numbers are less than 19?
(ii) How many numbers are more than 20?
(iii) Which of the numbers, given above, is occurring most frequently?
9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9, 12, 18, 17, 19, 20, 25, 9 and 12.
Now answer the following:
(i) How many numbers are less than 19?
(ii) How many numbers are more than 20?
(iii) Which of the numbers, given above, is occurring most frequently?
Multiply and then evaluate:
$(x – 2y + z)$ and $(x – 3z);$ when $x = − 2, y = − 1$ and $z = 1.$
→$(x – 2y + z)$ and $(x – 3z);$ when $x = − 2, y = − 1$ and $z = 1.$
A girl got $375$ marks out of $500$ in the first term examination, $560$ marks out of $800$ in the second term examination, and $840$ marks out of $1200$ in the third term examination. Find:
(i) her percentage score in the first term examination.
(ii) her percentage score in the second term examination.
(iii) her percentage score in the third term examination.
(iv) the total marks secured in all the three examinations.
(v) the total marks scored in all the three examinations.
(vi) her percentage score on the whole in all three examinations.
→(i) her percentage score in the first term examination.
(ii) her percentage score in the second term examination.
(iii) her percentage score in the third term examination.
(iv) the total marks secured in all the three examinations.
(v) the total marks scored in all the three examinations.
(vi) her percentage score on the whole in all three examinations.