Grade 10 Math Unit No.3Half And 11 test
This test sample paper is about Grade 10 Math unit three half and unit 11 full.
Mathematics 10th Unit No. 3Hf, 11 Time Allowed:- 1h
Name | Grade 10 Math Unit | Obtained Marks |
|
Roll No. |
| Total Marks | 30 |
Q.No.1 Select the correct answer of the following. (6)
Sr.No | Question | A | B | C | D |
(i) | The third proportional of x2 and y2 is | y2/ x4 | Y2/ x2 | y2 x2 | Y4/ x2 |
(ii) | In proportion a:b:: c:d ‘b’ and ‘c’ are called | Fourth proportional | Means | Mean proportional | extremes |
(iii) | The G µ m1m2/d2 is the example of --- | Direct variation | Inverse variation | Joint variation | All of these |
(iv) | The semi circumference and the diameter of a circle subtend a central angle of : | 90o | 180o | 270o | 360o |
(v) | The length of chord and radial segment of a circle are congruent, the central angle made by the chord will be |
60o |
90o |
75o |
45o |
(vi) | In a circle, any pair of diameters are ^ to each other than the lines joining its ends, form a | Rectangle | Rhombus | Square | Trapezium |
Q.No.2 Give short answers to the following. (12)
(i) What is the K method?
(ii) Define an arc of a circle. (
iii) If w µ 1/v2 and w = 2 when v = 3 , then find w.
(iv) Find a third proportional to 28 and 4. (v) if y µ x2/z and y = 28 when x = 7 , z = 2, then find y.
(vi) Define joint variation.
Q.No.3 (a) If a/b = c/d =e/f then show that a3 + b3 + c3 / b3 + d3 + f3 = ace / bdf (4)
(b) The supporting load c of a pillar varies as the fourth power of its diameter d and inversely as the square of its length L. A pillar of diameter 6 inches and of height 30 feet will support a load of 63 tons. How high a 4 inch pillar must be to support a load of 28 tons? (4)
(c) Two equal circles intersect in A and B. Through B, a straight line is drawn to meet the circumference at P and Q respectively. Prove that m AP = m AQ (4)
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