Help With GCSE Maths

Learn to use information to compare numbers without calculation, move decimals by factors of 10, and apply place value to decimal numbers.

Practice estimation by replacing numbers with easy one significant figure values, and learn how to handle division by a number less than 1, using a tenfold trick when needed.

Solve the exam question by calculating time differences from 10:30 a.m. to 11:20 a.m. using 60 minutes per hour and applying three quarters of an hour as 45 minutes.

Explore simplifying fractions and converting them to percentages using 90/600 and 180/600, then allocate the remaining 330 counters in a 2:1 blue-to-green ratio, yielding 220 blue and 110 green.

Learn the kiss method for adding fractions by creating a common denominator with equivalent fractions, as shown by 2/5 plus 1/7 becoming 19/35, and note that multiplication is easier.

Understand reciprocals as one over and convert mixed numbers like 2 4/5 and 1 3/4 into improper fractions. Compute using a common denominator to subtract fractions and obtain 21/20.

Explain why one third is not equal to 0.3, showing that 0.3 equals 3/10 (30/100) and one third equals 1/3 or 0.333 recurring, to compare fractions and decimals.

Learn how to simplify algebra by combining like terms and using shorthand for bc. Apply exponent rules, such as m^3 and squares, and recognize how coefficients interact with variables.

Apply the detective method to algebra: cover up the unknowns, move terms to the same side, and expand brackets to solve for p, q, and y using sign changes.

Expand brackets and solve linear equations by simplifying expressions, combining like terms, and balancing both sides. Apply techniques for solving for x and y through addition, subtraction, multiplication, and division.

solve algebra problem by using triangle angle sum, set 2x + 3x + (x + 30) = 180, simplify to 6x + 30 = 180, giving x = 25 degrees.

Learn to use a conversion graph and the magic formula to convert between miles and pounds. For example, 20 miles equals 16 pounds, and 60 pounds equals 75 miles.

Use the magic formula to convert currencies by dividing the starting amount in East Caribbean dollars by the rate to get US dollars, then multiply to convert to pounds.

Apply the magic formula to exchange units and currencies: convert grams to Swiss francs with the Swiss rate, then convert to pounds to compare UK and Swiss prices per kilogram.

Turn ratio questions into exchange problems using the magic formula, allocating seven parts (five friezes, two cookers). Calculate a 20 percent discount on £145 to find the savings.

Assess why 120 and 50 degrees on a straight line do not sum to 180, indicating a wrong diagram, then apply the quadrilateral angle sum 360 to find x.

Discover how to find the interior angle of a regular polygon by dividing 360 degrees by the number of sides and using 180 minus that central angle.

Divide the composite shape into rectangles to find a total area of 56 m², then compare packs: carpet tiles cover 8 m² per pack (7 packs) and are recommended.

analyze data using a 2-way table to compare boys and girls across activities like bowling, cinema, and skating; fill totals and work out the number who went bowling.

Use a two-way table of 30 students by gender and lunch type to calculate counts, including 7 girls with school lunch and 8 packed lunches overall.

Analyze a two-event probability tree to calculate the chance that both Martin and Luke do not bring a calculator, using path multiplication (0.2 and 0.4) to get 0.08.

Apply the two-way table to find the expected value of male climbers in a 50-student sample from 182, using probability times sample size; expect about 9 students.

Solve the missing probability by setting a sum-to-one equation from the probability table and use a tree method to combine two scores to total eight, yielding 0.1401.

Calculate expected wins: with a 3/8 probability of winning from 1000 customers, you can expect about 375 prizes. Buy around 400 prizes to cover randomness and stay safe.