Class 7 > Test: Algebraic Expression and Identities

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Test: Algebraic Expression and Identities - Question 1

The ratio of the volume of three buckets is 3 : 4 : 5. Buckets contains the mixture of water and alcohol. If the mixture contains water and alcohol in the ratio 1 : 4, 1: 3 and 2 : 5, respectively then find the ratio of water and alcohol when the mixture in all containers are poured in fourth container.

Test: Algebraic Expression and Identities - Question 2

If a = 3, b = 4 and x = 5, Find the value of (x + a) (x + b),

Test: Algebraic Expression and Identities - Question 3

A person buys some pen and pencil from the market at a rate such that a pencil is twice as costly as pen. He sells them such that the cost of pencil is thrice the cost of pen. By selling a pen at twice of its cost price, he makes 150 % profit on the whole. Find the ratio of pencils to pen.

Test: Algebraic Expression and Identities - Question 4

If 2x + 3y = 8 and xy = 2. Find 4x^{2} + 9y^{2}.

Test: Algebraic Expression and Identities - Question 5

Stephen's mathematics test had 85 problems, which contains 20 algebra, 30 statistics and 35 geometry problems. He answered 70% of algebra, 40% of the statistics and 60% of geometry problems correctly. He did not pass the test because he got less than 60% of the problem correct. How many more questions he would have needed to answer correctly to earn 60% passing grade?

Test: Algebraic Expression and Identities - Question 6

A monkey climbing up a pole ascends 10 metres and slips down 2 metres in alternative minutes. If the pole is 57 metres high, how long will take him to reach the top of pole?

Test: Algebraic Expression and Identities - Question 7

If 2x – 3y = 5 and xy = 4. Find 4x^{2} + 9y^{2}.

Test: Algebraic Expression and Identities - Question 9

Find the dimension of rectangle when its length is 20 m more than its width. If its width is reduced by 20 m and length is increased by 100 m then the perimetre will be twice the perimetre of original one.

Test: Algebraic Expression and Identities - Question 10

The ratio of two smaller sides of a right-angled triangle is 4 : 3, A rectangle is on the largest side of the triangle in such a way that largest side will be the length of the rectangle. The breadth of rectangle is four fifth of its length. Find the length of shortest side of triangle if the perimetre of rectangle is 1.8 m.

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