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- Ten diagnosis quiz questions
- Ten minutes in duration
- Required to attempt all questions
- A mixture of short-answer and multiple-choice questions
- Instant feedback straight after the quiz

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Question 1 of 10

Find \(A\), \(B\), \(C\) and \(D\) if \( – 3{x^2}\left( {2x + 3} \right) + x\left( {1 + x + {x^2}} \right) = A{x^3} + B{x^2} + Cx + D\).

Question 2 of 10

Find \(A\), \(B\) and \(C\) if \(3\left( {2x + 5} \right)\left( {2x – 5} \right) = A{x^2} + Bx + C\).

\(\left( {a + b} \right)\left( {a – b} \right) = {a^2} – {b^2}\)

Question 3 of 10

Find \(A\), \(B\), \(C\), \(D\) and \(E\) if \(- {\left( {{x^2} – 5} \right)^2} + {\left( {{x^2} – 1} \right)^2} = A{x^4} + B{x^3} + C{x^2} + Dx + E\).

\({\left( {a + b} \right)^2} = {a^2} + 2ab + {b^2}\)

\({\left( {a – b} \right)^2} = {a^2} – 2ab + {b^2}\)

Question 4 of 10

Find \(b\), given \(A = \dfrac{{a + b}}{{ab}} \) where \(A = 22\) and \(a = 11\), correcting to two significant figures in ascending order.

Question 5 of 10

Find \(A \), if \(\dfrac{9}{{\left( {x – 1} \right)\left( {3x – 7} \right)}} \div \dfrac{{x + 3}}{{x – 1}} = \dfrac{A}{{\left( {3x – 7} \right)\left( {x + 3} \right)}}\).

Question 6 of 10

Write \({\left( {2{x^3}} \right)^{ – 5}}\) without negative exponents.

\({a^{ – x}} = \dfrac{1}{{{a^x}}}\)

Question 7 of 10

Write \(2 \times {3^3}\) as a basic numeral.

Question 8 of 10

Find the value of \({\left( {{5^0} + {6^1} + {7^2}} \right)^0}\).

Question 9 of 10

The average of 5 numbers is 11. A new number is added, then the new average becomes 12. Find the new number added.

Question 10 of 10

A sequence is defined by \({u_n} = {3^n}\). Find \({u_4}\).