Olympiad – Class VII – Mathematics - Algebraic Expressions

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Question - 1

If x + y= 5,Y+ z = 7 and z + x = 12, what is the value of x + y + z?

  • A 12
  • B 2
  • C 5
  • D 24

Question - 2

How many auxiliary formulae can be formed from the expression in the box?
A=\(\frac { 1 }{ 2 } \)h(a+b)

  • A 2
  • B 3
  • C 4
  • D 1

Question - 3

What is the difference between 3a + 2b and -2a - 5b?

  • A 5a + 7b
  • B -5a - 7b
  • C 5a - 7b
  • D a - 3b

Question - 4

The length and breadth of a rectangular plot are land b. Two rectangular paths each of width 'w' run inside the plot one parallel to the length and the other parallel to the breadth. What is the total area of the paths?

  • A (l + w) (b + w) - lb
  • B lb - (l - w) (b - w)
  • C (l + b - w) w
  • D lb - (Z - 2w) (b - 2w)

Question - 5

In a two digit number, the units digit is x and tens Qigit is (x + 3). What is the sum of the digits in the number?

  • A 11x + 3
  • B 2x + 3
  • C 3 + x
  • D 11x + 30

Question - 6

A and B are polynomials and each is the additive inverse of the other. What does it mean?

  • A A = B
  • B A + B is a zero polynomial.
  • C A - B is a zero polynomial.
  • D A - B = B - A

Question - 7

When a certain number, 'm' is divided by 5 and added to 8, the result is equal to thrice the number subtracted from 4.What is the value of 'rn'?

  • A 2
  • B \(\frac { 4 }{ 3 } \)
  • C \(\frac { -1 }{ 3 } \).
  • D \(\frac { -5 }{ 4 } \).

Question - 8

5 added to thrice a number is equal to 12 added to twice the number. What is the number?

  • A \(\sqrt { 49 } \times \frac { 1 }{ 7 } \).
  • B \(\sqrt [ 3 ]{ 343 } \times \frac { 7 }{ 7 } \).
  • C 7
  • D Both (B) and (C)

Question - 9

In the figure given what is the perimeter, in cm, of the triangle?

  • A (8y + 4x - 3) cm
  • B (8y - 4x + 3) cm
  • C (14x - 2y - 3) cm
  • D (12xy - 3) cm

Question - 10

If C=\(\frac { x-a }{ x-b } \) , find the value of x.

  • A \(\frac { bC-a }{ C-b } \).
  • B \(\frac { C-a }{ C-b } \).
  • C \(\frac { C+a }{ C+b } \).
  • D \(\frac { 1-C }{ a-bC } \).
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