Olympiad – Class VII – Mathematics - Simple Equations

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Question - 1

What is the value of 'x' in \(\frac{3x-1}{5}-\frac{1+x}{2}=3-\frac{x-1}{2}?\)

  • A 5
  • B -7
  • C 7
  • D -5

Question - 2

If 0.2(2x - 1) - 0.5(3x -1) = 0.4, what is the value of 'x'?

  • A \(\frac{1}{11}\)
  • B \(-\frac{1}{11}\)
  • C \(\frac{3}{11}\)
  • D \(-\frac{3}{11}\)

Question - 3

In each of these figures the solution of an equation is given in brackets. Which of them is correct?

  • A
  • B
  • C
  • D

Question - 4

Sunil wrote an equation as \(\frac{m}{5}=4\) Ravi wrote a statement for Sunil's equation.
Which of these is the statement of Ravi if he has written correctly?

  • A One-fifth of 'm' is 4.
  • B One-fifth of a number is 5.
  • C One-fourth of 'rn' is 4.
  • D One-fourth of a number is 4.

Question - 5

In which of the following cases does an equality NOT hold?

  • A Adding the same number on both the sides.
  • B Not performing the same operation on both the sides
  • C Subtracting the same number from both the sides.
  • D Multiplying both the sides by the same non-zero number.

Question - 6

What are the two steps involved in solving the equation 15x + 4 = 26?

  • A Subtracting 4 from both the sides and then dividing both sides by 15.
  • B Adding 4 on both sides & then multiplying both sides by 15.
  • C Subtracting 4 on the L.H.S. and multiplying by 15 on the R.H.S.
  • D Adding 4 on the L.H.S.and dividing by 15 on the R.H.S.

Question - 7

Which of the following equations can be constructed with x = 2?

  • A 3x + 4 = 8
  • B 3x - 4 =2
  • C 3x + 4 = 2
  • D 3x - 4 = 8

Question - 8

7 subtracted from \(\frac{5}{2}\) of a number results in 23. What is the number?

  • A -10
  • B 10
  • C 12
  • D -12

Question - 9

In a coconut grove, (x + 2) trees yield 60 coconuts per year, x trees yield 120 coconuts per year and (x - 2) trees yield 180 coconuts per year. If the average yield per year per tree is 100, find x.

  • A 4
  • B 3
  • C 2
  • D 1

Question - 10

4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.

  • A 16
  • B 12
  • C 8
  • D 20