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11 Plus Essential Skills
Select the skills to practice, and then click Go!
Times tables and mental arithmetic
Times table and division facts
\[ 7 \times 8 = \square \]
Recall multiplication and division facts up to 12 × 12.
Multiply/divide integers by powers of 10
\[ 45 \times 100 = \square \]
Multiply or divide whole numbers by 10, 100, or 1000.
Multiply/divide decimals by powers of 10
\[ 3.6 \times 10 = \square \]
Multiply or divide decimal numbers by 10 or 100.
Order of operations (no brackets)
\[ 5 + 3 \times 2 = \square \]
Apply BIDMAS to calculate expressions without brackets.
Order of operations (with brackets)
\[ (5 + 3) \times 2 = \square \]
Apply BIDMAS to calculate expressions with brackets.
Place value and number
Place value of digits (whole numbers)
\[ \text{Value of 4 in } 24{,}567 \]
Identify the value of a digit in a whole number.
Place value of digits (decimals)
\[ \text{Value of 7 in } 3.472 \]
Identify the value of a digit in a decimal number.
Ordering and comparing decimals
\[ \text{Order: } 0.4, 0.38, 0.401 \]
Order or compare decimal numbers by size.
Rounding to nearest 10/100/1000
\[ 4{,}567 \text{ to nearest } 100 \]
Round whole numbers to a specified place value.
Rounding decimals
\[ 3.467 \text{ to 1 d.p.} \]
Round decimal numbers to a specified number of decimal places.
Fractions
Simplifying fractions
\[ \frac{12}{18} = \square \]
Simplify a fraction to its lowest terms.
Converting improper fractions to mixed numbers
\[ \frac{11}{4} = \square \]
Convert an improper fraction to a mixed number.
Converting mixed numbers to improper fractions
\[ 2\frac{3}{5} = \square \]
Convert a mixed number to an improper fraction.
Adding fractions (same denominator)
\[ \frac{2}{7} + \frac{3}{7} = \square \]
Add two fractions with the same denominator.
Adding fractions (different denominators)
\[ \frac{1}{3} + \frac{1}{4} = \square \]
Add fractions with different denominators.
Subtracting fractions (same denominator)
\[ \frac{5}{8} – \frac{2}{8} = \square \]
Subtract fractions with the same denominator.
Fraction of an amount (unit fraction)
\[ \frac{1}{4} \text{ of } 36 = \square \]
Find a unit fraction of a given amount.
Fraction of an amount (non-unit fraction)
\[ \frac{3}{4} \text{ of } 48 = \square \]
Find a non-unit fraction of a given amount.
Comparing fractions (same denominator)
\[ \frac{5}{9} \text{ or } \frac{7}{9} \text{?} \]
Compare two fractions with the same denominator.
Comparing fractions (same numerator)
\[ \frac{3}{5} \text{ or } \frac{3}{7} \text{?} \]
Compare two fractions with the same numerator.
Decimals and percentages
Converting common fractions to decimals
\[ \frac{3}{4} = \square \]
Convert common fractions to their decimal equivalents.
Converting decimals to fractions
\[ 0.75 = \square \]
Convert a decimal to a fraction and simplify.
Finding 10% of an amount
\[ 10\% \text{ of } 80 = \square \]
Calculate 10% of a given amount.
Finding simple percentages
\[ 25\% \text{ of } 60 = \square \]
Calculate 25%, 50%, or 75% of amounts.
Percentage and fraction equivalence
\[ 50\% = \frac{\square}{\square} \]
Convert between simple fractions and percentages.
Ratio
Simplifying ratios
\[ 12:8 = \square \]
Simplify a ratio to its lowest terms.
Dividing in a ratio (two parts)
\[ 40 \text{ in ratio } 3:1 \]
Divide an amount in a given two-part ratio.
Time
Time conversions
\[ 2\frac{1}{2} \text{ hours} = \square \text{ mins} \]
Convert between hours and minutes.
Calculating time intervals
\[ 10{:}45 \text{ to } 12{:}20 \]
Calculate the duration between two times.
Measurement
Metric unit conversions
\[ 3.5\text{m} = \square \text{cm} \]
Convert between metric units.
Shape and measure
Perimeter of rectangles
\[ \text{Perimeter: } 8\text{cm} \times 5\text{cm} \]
Calculate the perimeter of a rectangle.
Area of rectangles
\[ \text{Area: } 7\text{cm} \times 4\text{cm} \]
Calculate the area of a rectangle.
Area of triangles
\[ \text{Area: base 6, height 4} \]
Calculate the area of a triangle from base and height.
Angles
Missing angle on a straight line
\[ 125° + \square = 180° \]
Find a missing angle when angles sum to 180°.
Missing angle in a triangle
\[ 50° + 70° + \square = 180° \]
Find a missing angle in a triangle.
Sequences
Finding the next term (arithmetic sequence)
\[ 3, 7, 11, 15, \square \]
Continue an arithmetic sequence by finding the common difference.
Finding the rule of a sequence
\[ 5, 9, 13, 17, … \text{ rule?} \]
Identify the term-to-term rule for an arithmetic sequence.
Simple algebra
One-step equations
\[ x + 5 = 12 \]
Solve one-step equations.
Data handling
Calculating the mean
\[ \text{Mean of } 4, 6, 8, 10 \]
Calculate the arithmetic mean of a set of numbers.
Timer (Optional)
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