Quick quizzes, full solutions

Divisibility, remainders, unit digits, factors and types of numbers.

Highest common factor, least common multiple and their word problems.

BODMAS, fractions, decimals, surds and quick approximation.

Percentage change, successive changes and comparisons.

Cost price, selling price, marked price, discounts and false weights.

SI, CI, half-yearly compounding and the difference between them.

Ratios, proportions, dividing amounts and variation.

Mean, weighted average, replacing members and average speed.

Mixing quantities at different prices or concentrations.

Sharing profit by capital and time.

Work rates, combined work and efficiency.

Filling and emptying tanks with inlet and outlet pipes.

Relative speed, trains, races and average speed.

Upstream and downstream speed problems.

Present, past and future age relations.

Counting arrangements and selections.

Coins, dice, cards, balls and basic probability rules.

Area, perimeter, surface area and volume.

Solving equations, roots and comparing quantities.

Find the next or wrong number in a series.

Letter patterns, positions and alphabet tests.

Letter, number and word codes.

Family trees and coded relations.

Distance and final direction after a set of moves.

Linear and circular arrangements.

Scheduling, floors, boxes and grid puzzles.

Which conclusions follow from the statements.

Critical reasoning on short arguments.

Find the relationship or the item that does not belong.

Angles between hands, gains and losses, days of the week.

Positions in a row or class, and comparisons.

Coded and direct inequalities.

Decide which statements are enough to answer.

Word meanings and opposites.

Find and fix grammar errors.

Choose the word or phrase that fits.

Short passages with questions.

Arrange sentences into a logical paragraph.

Meanings of common idioms and phrasal expressions.

One word for a group of words.

Questions on data tables.

Questions on bar-chart data (given as values).

Questions on percentage and degree breakdowns.

Data described in a paragraph.