Important Questions
Multiple Choice Questions:
Q.1 The rule, which gives the number of matchsticks required to make the matchstick pattern L, is
(a) 2 n
(b) 3 n
(c) 4n
(d) 5 n.
Q.2 The rule, which gives the number of matchsticks required to make the matchstick pattern C, is:
(a) 2 n
(b) 3 n
(c) 4 n
(d) 5 n.
Q.3 The rule, which gives the number of matchsticks required to make the matchstick pattern F, is:
(a) 2 n
(b) 3 n
(c) 4 n
(d) 5 n.
Q.4 The rule, which gives the number of matchsticks required to make the matchstick pattern U, is
(a) 2 n
(b) 3 n
(c) 4 n
(d) 5 n.
Q.5 The rule, which gives the number of matchsticks required to make the matchstick pattern V, is:
(a) 2 n
(b) 3 n
(c) 4 n
(d) 5 n.
Q.6 The rule, which gives the number of matchsticks required to make the matchstick pattern A, is:
(a) 2 n
(b) 3 n
(c) 4 n
(d) 5 n.
Q.7 The rule, which gives the number of matchsticks required to make the matchstick pattern [], is
(a) 2 n
(b) 3 n
(c) 4 n
(d) 5 n
Q.8 The rule, which gives the number of matchsticks required to make the matchstick pattern ≅, is:
(a) 2 n
(b) 3 n
(c) 4 n
(d) 5 n.
Q.9 The rule, which gives the number of matchsticks required to make the matchstick pattern E. is:
(a) 2 n
(b) 3 n
(c) 4 n
(d) 5n.
Q.10 The rule, which gives the number of matchsticks required to make the matchstick pattern A, is:
(a) 3 n
(b) An
(c) 5 n
(d) 6 n.
Q.11 The rule, which gives the number of matchsticks required to make the matchstick pattern A, is
(a) 3 n
(b) 4 n
(c) 5 n
(d) 6 n.
Q.12 The rule, which gives the number of matchsticks required to make the matchstick pattern S, is:
(a) 3 l
(b) 4 n
(c) 5 n
(d) 6 n.
Q.13 The side of a square is l. Its perimeter is:
(a) 3l
(b) 2l
(c) 4l
(d) 6l
Q.14 The side of an equilateral triangle is l. Its perimeter is:
(a) l
(b) 2l
(c) 3l
(d) 6l.
Q.15 The side of a regular pentagon is l. Its perimeter is:
(a) 3l
(b) 6l
(c) 4l
(d) 5l
Match The Following:
Fill in the blanks:
1. The value of 2x – 12 is zero, when x = ________.
2. The product of 2 and x is being added to the product of 3 and y is expressed as ________.
3. The numerical coefficient of the terms 1/2 xy2 + 1/2 xy2 is ________.
4. The no. of terms in the expression 3x2y - 4x2 y2 + 1/2 xy2 - 5x is ________.
True /False:
1. The parts of an algebraic exponent which are connected by + or – sign are called its terms.
2. 5 times x subtracted from 8 times y is 5x - 8y.
3. A number having fixed value is called variable.
4. The numerical coefficient of -2x2y is -2.
Very Short Questions:
1. Write which letters give us the same rule as that given by L.
2. Rearrange the terms of the following expressions in ascending order of powers of x:
5x2, 2x, 4x4, 3x3, 7x5
3. Give expressions for the following
(i) 7 added to
(ii) 7 subtracted from
(iii) p multiplied by
(iv) p divided by
(v) 7 subtracted
(vi) -p multiplied by
(vii )-p divided by
(viii) p multiplied by – 5.
4. The teacher distributes 5 pencils per student. Can you tell how many pencils are needed,
given the number of students ? (Use s for number of students.)
5. Form expressions using y, 2 and 7. Every expression must have y in it. use only two
number operations. These should be different.
6. Find the value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11.
7. Six less than a number equals to two. What is the number?
8. Write an algebraic expression for each of the following:
(a) 3 subtracted from a number y.
(b) 5 is added to three times a number x.
9. Write an algebraic expression for the following expressions:
(a) The sum of a number x and 4 is doubled.
(b) One fourth of a number x is added to one third of the same number.
Short Questions:
1. Think of a number x. Multiply it by 3 and add 5 to the product and subtract y
subsequently. Find the resulting number.
2. Here is a pattern of houses with matchsticks:
Write the general rule for this pattern.
3. If the side of an equilateral triangle is x, find its perimeter.
4. If x = 3, find the value of the following:
(i) x + 5
(ii) 2x – 3
(iii) x – 7
(iv) x/3 – 1
5. If x = 2, y = 3 and 2 = 5, find the value of;
(a) 2x + y + z
(b) 4x -y + z
(c) x – y + z
6. State which of the following are equations with a variable?
(a) 12 = x – 5
(b) 2x > 7
(c) x/2 = 5
(d) 5 + 7 = 3 + 9
(e) 7 = (11 × 5) – (12 × 4)
7. Think of a number, add 2 to it and then multiply the sum by 6, the result is 42.
8. The side of a regular hexagon is s cm. Find its perimeter.
9. If a = 3, b = 1/2 and c = 1/4 , find the value of
10. Complete the table and find the solution of the equation 19 – x = 13
Long Questions:
1. If x = –1/2, y = 1/4 and z = 0, find the value of the given expressions
(a) 8z + 2x -y
(b) z – y + 3x
2. A starts his car from Delhi at 6.00 am to Amritsar. The uniform speed of his car is x km/h.
At 12.00 noon, he finds that he is still 50 km away from Amritsar. Find the distance between
Delhi and Amritsar.
3. Anshika’s Score in Science is 15 more than the two-third of her score in Sanskrit. If she
scores x marks in Sanskrit, find her score in Science.
4. Deepak’s present age is one-third his mother’s present age. If the mother’s age was five
times his age 6 years ago, what are their present ages?
Assertion and Reason Questions:
(1.) Assertion (A) – The rule, which gives the number of matchsticks required to make
the matchstick pattern L, is 2n.
Reason (R) – For n = 1, the number of matchsticks required = 2 × 1 = 2
(a) Both A and R are true and R is the correct explanation of A
(b) Both A and R are true but R is not the correct explanation of A
(c) A is true but R is false
(d) A is false but R is true
(2.) Assertion (A) – The rule, which gives the number of matchsticks required to make
the matchstick pattern C, is3n
Reason (R) – For n = 2, the number of matchsticks required = 2 × 2 = 4
(a) Both A and R are true and R is the correct explanation of A
(b) Both A and R are true but R is not the correct explanation of A
(c) A is true but R is false
(d) A is false but R is true