English Literacy and Numeracy Certification Masterclass

Explore 11 plus English essentials, including comprehension, figurative language, inference and deduction, composition for nonfiction and fiction, vocabulary, and verbal reasoning tips.

Learn to add fractions by finding the lowest common multiple, convert to a common denominator such as 12, then sum numerators to 11/12 using a bar model.

Add mixed numbers by converting to improper fractions. Use the lowest common multiple to make equivalent fractions, then sum numerators and convert back to a mixed number.

Master column addition for two-digit, three-digit, and four-digit numbers by aligning units, tens, hundreds, and thousands, performing carries accurately to find sums.

Calculate area and circumference of a circle using pi, radius, and diameter. Apply area equals pi r squared and circumference equals two pi d, with pi as 3.14.

Explore how to calculate area for rectangle, triangle, square, and trapezium using base and height, length and width, and the trapezium formula.

Learn column and grid methods to multiply numbers by breaking them into tens and units, carry as needed, and add the resulting answers.

Explore cube numbers by visualizing a cube's length, width, and height and multiplying them to get values like 1, 8, 27, 64, and 125; understand l^3 as length cubed.

Master decimal multiplication through column methods, aligning decimals, managing carries, and placing the decimal point correctly in products such as 3.4 times 5 and 14.3 times 7.

Divide fractions by using reciprocals and turning division into multiplication; copy the left-hand side, swap to the reciprocal on the right, transforming divide to multiply.

Divide mixed numbers by converting to improper fractions, using reciprocals, and multiplying, then simplify to the final fraction; illustrated with two and a quarter divided by three and a half.

Learn division using the bus stop method, performing long and short division on two- and three-digit numbers, handling remainders and decimals, and verifying results through multiplication.

learn how to find equivalent fractions by multiplying the numerator and denominator by the same number, and simplify fractions by dividing by their highest common factor.

Learn to identify equivalent fractions and simplify fractions by multiplying numerator and denominator by the same factor, using the highest common factor to reduce 24/32 to 3/4.

Convert fractions to decimals and percentages using equivalent fractions and the bus stop method; explore examples like 2/5 to 0.40 and 40%, and 1/7 and 14/8 conversions.

Calculate 3/5 of £250 by dividing by five to get £50, then multiply by three to obtain £150, illustrated with the bus stop method, column multiplication, and a five-part diagram.

Learn to perform decimal division by converting to whole numbers, applying the bus stop (short division) method, and placing decimals correctly to solve 346.24 ÷ 1.1.

Explore the laws of indices, including adding and subtracting exponents, zero exponent, power to a power, negative and fractional indices with roots and reciprocals.

Master the metric system: convert length, capacity, and mass units—meters, centimeters, millimeters, kilometers, liters, milliliters, centiliters, grams, kilograms, milligrams, and tons—using multiply/divide rules.

Learn mixed-number multiplication by converting mixed numbers to improper fractions, multiply numerators and denominators, then simplify to a mixed number, as 2 1/2 × 3 1/4 = 8 1/8.

Explore negative numbers by adding and subtracting, applying the rules for multiplying and dividing, and using a number line to visualize left for negatives and right for positives.

Master bidmas, the order of operations, prioritizing brackets, indices, division, multiplication, addition, and subtraction, with examples like two times three plus two equals eight.

Explore palindromes by examining numbers that read the same left to right and right to left, with examples like 121 and 1441, and note Eve as a palindrome name.

Learn to calculate percentage increase and decrease with chunking and multiplier methods. Use examples of a £420 investment rising 15% to £483 and a £246 phone depreciating 16% to £204.64.

Learn to compute any percentage of an amount using the chunking method, breaking percentages into 50, 10, 5, and 1 percent, with money examples and decimals.

Explore fractions and mixed numbers by identifying the numerator and denominator, distinguishing proper and improper fractions, converting improper fractions to mixed numbers, and visualizing them with diagrams to solidify understanding.

Master simplifying ratios and apply ratio of amounts to divide £35 in a 2:5 split, learning total parts, value per part, and verification.

Subtract fractions by finding the lowest common multiple and creating equivalent fractions; visualize with a bar area model to get five over six minus three quarters equals one over twelve.

Learn to perform subtraction using the column method, aligning tens and units by place value. Practice borrowing when needed and verify results with inverse checks.

Explore square numbers using the area principle, showing how a number multiplied by itself yields n squared with examples such as 1, 4, 9, 16, 25, and 36.