KS3 - Ks3 Maths - Level 7-8 Algebra - Proof Solution - MCQGeeks.com

Q.1.

When x is an integer, 2x - 1 will always be an odd number, regardless of the value of x; what is the proof?

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2 - 1 = an odd number
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2 + 1 = an odd number
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2x = an even number and one less will be an odd number
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Any term with a - sign in it produces an odd number

Q.2.

You can never work out the exact area of a circle; what is the proof?

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Pi is required to work it out and its exact value is unknown
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The area of a circle is infinite
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The theorem of Pythagoras doesn't work with circles
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There are no formulae for circular areas

Q.3.

345,345,345,345 when doubled will be an even number; what is the proof?

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All numbers over 1,000 are even numbers
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Doubling any number results in an even number
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Each 4 has a 3 on one side and a 5 on the other side
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Repeated sequences result in even numbers

Q.4.

Simon says that if a number is not prime it will always have an even number of factors. Which of these statements proves that he is wrong?

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All prime numbers have two factors
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Many numbers have 3 as a factor
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Any square number has an odd number of factors
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That's just the way it is

Q.5.

To prove a result is the same as to ....... the result?

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Debate
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Guess
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Justify
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Question

Q.6.

Sam says that the sum of two prime numbers is always even. How could you prove if he is right or wrong?

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Check a few sums
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Find a sum which is odd
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Do some reverse calculations
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Find a sum which is even

Q.7.

With the exception of the number 2, all prime numbers are odd numbers; what is the proof?

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2 is a factor in all even numbers
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2 is the next number after 1
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4 divided by 2 gives a whole number
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Exponents of 2 always give an even number

Q.8.

Which of the following is a correct definition of 'proof'?

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An assumption
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An estimation
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An opinion
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Evidence that establishes something is true

Q.9.

If one of the angles in a triangle is 90° the other two angles must add up to 90°. What fact is used to prove the truth of this statement?

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Two sides of the triangle are equal
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The other two angles must both be 45°
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The angles of any triangle add up to 180°
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All triangles have three angles

Q.10.

The word horse has 5 letters beginning with the letter H and so does the name Henry which proves Henry is a horse. Why is this statement false?

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The similarity in spelling is accidental
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No one would call a horse Henry
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Henry's name starts with a capital letter
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You can't mix humans with animals