Short Quiz

Question 1 of 5

A shopkeeper wants to calculate \(998\times 1002\) mentally. What is the result?

A \(999,996\) B \(999,004\) C \(1,000,004\) D \(996,000\)

Select one option. Answers are shown after the test.

Question 2 of 5

Factorise \(x^{2}+13x+40\).

A \((x+4)(x+10)\) B \((x+5)(x+8)\) C \((x-5)(x-8)\) D \((x+2)(x+20)\)

Select one option. Answers are shown after the test.

Question 3 of 5

Which is the correct expansion of \((2a+b)^{3}\)?

A \(8a^{3}+12a^{2}b+6ab^{2}+b^{3}\) B \(8a^{3}+6a^{2}b+12ab^{2}+b^{3}\) C \(8a^{3}+12a^{2}b+12ab^{2}+b^{3}\) D \(2a^{3}+6a^{2}b+3ab^{2}+b^{3}\)

Select one option. Answers are shown after the test.

Question 4 of 5

A calculator is unavailable. Which is the value of \(1001^{2}\)?

A \(1,000,001\) B \(1,001,001\) C \(1,002,001\) D \(1,010,001\)

Select one option. Answers are shown after the test.

Question 5 of 5

Why is \(n^{3}-n\) divisible by \(6\) for every natural number \(n\)?

A Because \(n^{3}-n=n(n-1)(n+1)\), a product of three consecutive integers. B Because every cube is divisible by \(6\). C Because \(n^{3}-n=(n-1)^{3}\). D Because \(n^{3}\) and \(n\) are always even.

Select one option. Answers are shown after the test.

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