Maths4U Original · Short practice

Let \(\displaystyle A=\)\(1\) and \(\displaystyle B=\)\(\displaystyle \frac{3}{4}\). Give exact, simplified results.

Calculate A + B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=\)\(1\) and \(\displaystyle B=\)\(2\). Give exact, simplified results.

Calculate A + B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=\)\(1\) and \(\displaystyle B=\)\(2\). Give exact, simplified results.

Calculate A − B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=\)\(1\) and \(\displaystyle B=\)\(\displaystyle \frac{1}{3}\). Give exact, simplified results.

Calculate A − B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=\)\(1\) and \(\displaystyle B=\)\(\displaystyle \frac{1}{3}\). Give exact, simplified results.

Calculate A × B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=\)\(1\) and \(\displaystyle B=\)\(\displaystyle \frac{1}{2}\). Give exact, simplified results.

Calculate A × B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=\)\(1\) and \(\displaystyle B=\)\(\displaystyle \frac{1}{2}\). Give exact, simplified results.

Calculate A ÷ B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=\)\(1\) and \(\displaystyle B=\)\(\displaystyle \frac{3}{2}\). Give exact, simplified results.

Calculate A ÷ B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=5.3\) and \(\displaystyle B=0.04\). Treat the displayed decimals as exact.

Calculate A + B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=6.0\) and \(\displaystyle B=0.05\). Treat the displayed decimals as exact.

Calculate A + B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=6.0\) and \(\displaystyle B=0.05\). Treat the displayed decimals as exact.

Calculate A − B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=6.7\) and \(\displaystyle B=0.06\). Treat the displayed decimals as exact.

Calculate A − B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=6.7\) and \(\displaystyle B=0.06\). Treat the displayed decimals as exact.

Calculate A × B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=1.1\) and \(\displaystyle B=0.07\). Treat the displayed decimals as exact.

Calculate A × B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=1.1\) and \(\displaystyle B=0.07\). Treat the displayed decimals as exact.

Calculate A ÷ B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle A=1.8\) and \(\displaystyle B=0.08\). Treat the displayed decimals as exact.

Calculate A ÷ B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Order the four values \(-1\), \(\displaystyle \frac{3}{5}\), \(\displaystyle - \frac{3}{5}\), \(1\).

Find the smallest value.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Order the four values \(\displaystyle - \frac{13}{10}\), \(\displaystyle \frac{7}{10}\), \(\displaystyle - \frac{7}{10}\), \(\displaystyle \frac{13}{10}\).

Find the smallest value.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Order the four values \(\displaystyle - \frac{13}{10}\), \(\displaystyle \frac{7}{10}\), \(\displaystyle - \frac{7}{10}\), \(\displaystyle \frac{13}{10}\).

Find the largest value.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Order the four values \(-1\), \(\displaystyle \frac{4}{5}\), \(\displaystyle - \frac{4}{5}\), \(1\).

Find the largest value.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Order the four values \(-1\), \(\displaystyle \frac{4}{5}\), \(\displaystyle - \frac{4}{5}\), \(1\).

Find the difference between largest and smallest.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Order the four values \(\displaystyle - \frac{13}{10}\), \(\displaystyle \frac{9}{10}\), \(\displaystyle - \frac{9}{10}\), \(\displaystyle \frac{13}{10}\).

Find the difference between largest and smallest.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Order the four values \(\displaystyle - \frac{13}{10}\), \(\displaystyle \frac{9}{10}\), \(\displaystyle - \frac{9}{10}\), \(\displaystyle \frac{13}{10}\).

Find the second value in increasing order.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Order the four values \(\displaystyle - \frac{4}{5}\), \(\displaystyle \frac{1}{5}\), \(\displaystyle - \frac{1}{5}\), \(\displaystyle \frac{4}{5}\).

Find the second value in increasing order.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=6, b=7\) and \(\displaystyle c=5\).

Evaluate \(-a+b\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=8, b=2\) and \(\displaystyle c=3\).

Evaluate \(-a+b\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=7, b=8\) and \(\displaystyle c=2\).

Evaluate \((-a)(-b)\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=8, b=2\) and \(\displaystyle c=3\).

Evaluate \((-a)(-b)\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=8, b=2\) and \(\displaystyle c=3\).

Evaluate \(a-(b-c)\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=9, b=3\) and \(\displaystyle c=4\).

Evaluate \(a-(b-c)\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=9, b=3\) and \(\displaystyle c=4\).

Evaluate \((-a)^2-bc\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle a=10, b=4\) and \(\displaystyle c=5\).

Evaluate \((-a)^2-bc\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle M=4\,\frac{1}{4}\) be a mixed number, and let \(\displaystyle F=\)\(\displaystyle \frac{1}{4}\).

Write M as one fraction in lowest terms. Find its numerator.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle M=5\,\frac{2}{5}\) be a mixed number, and let \(\displaystyle F=\)\(\displaystyle \frac{2}{5}\).

Write M as one fraction in lowest terms. Find its numerator.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle M=5\,\frac{2}{5}\) be a mixed number, and let \(\displaystyle F=\)\(\displaystyle \frac{2}{5}\).

Write M as one fraction in lowest terms. Find its denominator.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle M=1\,\frac{2}{8}\) be a mixed number, and let \(\displaystyle F=\)\(\displaystyle \frac{1}{4}\).

Write M as one fraction in lowest terms. Find its denominator.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle M=1\,\frac{2}{8}\) be a mixed number, and let \(\displaystyle F=\)\(\displaystyle \frac{1}{4}\).

Express F as a percentage. Enter the numerical percentage.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle M=2\,\frac{7}{10}\) be a mixed number, and let \(\displaystyle F=\)\(\displaystyle \frac{7}{10}\).

Express F as a percentage. Enter the numerical percentage.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle M=2\,\frac{7}{10}\) be a mixed number, and let \(\displaystyle F=\)\(\displaystyle \frac{7}{10}\).

Find the numerical value of F as an exact decimal.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(\displaystyle M=3\,\frac{2}{4}\) be a mixed number, and let \(\displaystyle F=\)\(\displaystyle \frac{1}{2}\).

Find the numerical value of F as an exact decimal.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(X=0.1\overline{2}\) and \(Y=0.\overline{2}\). In X, only the digits under the bar repeat; the prefix 1 does not repeat.

Write \(\displaystyle X= \frac{A}{B}\) in lowest terms with B>0. Find A.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(X=0.2\overline{61}\) and \(Y=0.\overline{61}\). In X, only the digits under the bar repeat; the prefix 2 does not repeat.

Write \(\displaystyle X= \frac{A}{B}\) in lowest terms with B>0. Find A.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(X=0.2\overline{61}\) and \(Y=0.\overline{61}\). In X, only the digits under the bar repeat; the prefix 2 does not repeat.

Write \(\displaystyle X= \frac{A}{B}\) in lowest terms with B>0. Find B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(X=0.61\overline{4}\) and \(Y=0.\overline{4}\). In X, only the digits under the bar repeat; the prefix 61 does not repeat.

Write \(\displaystyle X= \frac{A}{B}\) in lowest terms with B>0. Find B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(X=0.61\overline{4}\) and \(Y=0.\overline{4}\). In X, only the digits under the bar repeat; the prefix 61 does not repeat.

Find the exact value of Y as a fraction.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(X=0.4\overline{63}\) and \(Y=0.\overline{63}\). In X, only the digits under the bar repeat; the prefix 4 does not repeat.

Find the exact value of Y as a fraction.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(X=0.4\overline{63}\) and \(Y=0.\overline{63}\). In X, only the digits under the bar repeat; the prefix 4 does not repeat.

Find X−Y exactly.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Let \(X=0.5\overline{6}\) and \(Y=0.\overline{6}\). In X, only the digits under the bar repeat; the prefix 5 does not repeat.

Find X−Y exactly.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.