# Waecmaths

Title waecmaths question
Question 1

Multiply $2.7\times {{10}^{-4}}$ by $6.3\times {{10}^{6}}$ and leave your answer in standard form

Question 2

If ${{9}^{(2-x)}}=3$, find x

Question 35

Simplify $\sqrt{\frac{{{8}^{2}}\times {{4}^{n+1}}}{{{2}^{2n}}\times 16}}$

Question 39

Solve ${{\left( \frac{27}{125} \right)}^{-\tfrac{1}{3}}}\times {{\left( \frac{4}{9} \right)}^{\tfrac{1}{2}}}$

Question 46

If ${{27}^{x}}={{9}^{y}}$ find the value of $\tfrac{x}{y}$

Question 18

Given that $\frac{{{5}^{n+3}}}{{{25}^{2n-3}}}={{5}^{0}}$ , find n

Question 7

Simplify $\frac{{{3}^{n-1}}\times {{27}^{n+1}}}{{{81}^{n}}}$

Question 13

If ${{(2x+3)}^{3}}=125$, find the value of x

Question 31

If ${{9}^{2x}}=\tfrac{1}{3}({{27}^{x}})$ find x

Question 3

Find the product of 0.0409 and 0.0021 leaving your answer in the standard form

Question 10

Simplify $\sqrt[3]{27{{x}^{3}}{{y}^{9}}}$

Question 30

If ${{2}^{n}}=128$ , find the value of $({{2}^{n-1}})({{5}^{n-2}})$

Question 40

Find the quadratic equation whose roots are c and –c

Question 3

Simplify $(0.3\times {{10}^{5}})\div (0.4\times {{10}^{7}})$ leaving your answer in the standard form

Question 7

Simplify $\frac{3{{x}^{3}}}{{{(3x)}^{3}}}$

Question 11

If x = 3, y = 2 and z = 4. What is the value of $3{{x}^{2}}-2y+z$

Question 13

If ${{8}^{x+1}}=\frac{1}{4}$ fins x

Question 45

Find the smallest value of k such that ${{2}^{2}}\times {{3}^{3}}\times 5\times k$ is a perfect square

Question 3

Simplify $\frac{{{25}^{\tfrac{2}{3}}}\div {{25}^{\tfrac{1}{6}}}}{{{({1}/{5}\;)}^{-\tfrac{7}{6}}}\times {{({1}/{5}\;)}^{\tfrac{1}{6}}}}$

Question 4

If $\frac{{{27}^{x}}\times {{3}^{1-x}}}{{{9}^{2x}}}=1$, find the value of x

Question 7

If 2x = y, find ${{2}^{(2+\tfrac{x}{3})}}$

Question 12

Solve the equation ${{2}^{7}}={{8}^{5-x}}$

Question 43

Given that $t={{2}^{-x}}$ find ${{2}^{x+1}}$ in terms of t

Question 2

Evaluate ${{(0.064)}^{-\tfrac{1}{3}}}$

Question 18

If ${{(0.25)}^{y}}=32$ . Find the value of y