Singapore · SEABQ&A
MathsQ&A by dot point
A short Q&A bank for every Singapore Maths syllabus dot point. Each question and answer is drawn directly from our worked dot-point page, so you can scan key concepts before opening the long-form answer.
Coordinate Geometry and Vectors
- Find the gradient of a line through two points and determine the equation of a straight line in the form y = mx + c4Q&A pairs
- Calculate the length of a line segment using the distance formula and find the midpoint of a line segment3Q&A pairs
- Represent a vector as a column vector, add and subtract vectors, and multiply a vector by a scalar3Q&A pairs
Equations and Inequalities
- Solve linear equations in one unknown, including those with brackets and fractions, and form linear equations from word problems6Q&A pairs
- Solve simple linear inequalities in one unknown and represent the solution on a number line6Q&A pairs
- Solve quadratic equations of the form ax^2 + bx + c = 0 by factorisation and by the quadratic formula3Q&A pairs
- Solve a pair of simultaneous linear equations in two unknowns by elimination and by substitution, and form them from word problems3Q&A pairs
Functions and Graphs
- Interpret and draw distance-time graphs, find speed from the gradient, and describe stationary and return stages of a journey2Q&A pairs
- Plot and draw graphs of linear functions y = mx + c, and interpret the gradient and y-intercept4Q&A pairs
- Draw graphs of quadratic functions y = ax^2 + bx + c, identify the shape, the turning point and the x-intercepts2Q&A pairs
Geometry and Circle Properties
- Use the basic angle properties of the circle, including the angle in a semicircle and the angle between a tangent and a radius5Q&A pairs
- Use angle properties on a straight line, at a point, and between parallel lines to find unknown angles2Q&A pairs
- Identify congruent and similar figures, and use the ratio of corresponding sides of similar figures to find unknown lengths4Q&A pairs
- Use the angle sum of a triangle and a quadrilateral, the exterior angle property, and the properties of special triangles and quadrilaterals3Q&A pairs
Mensuration and Trigonometry
- Calculate the perimeter and area of rectangles, triangles, parallelograms, trapeziums and circles, and of composite figures4Q&A pairs
- Apply Pythagoras' theorem to find a missing side in a right-angled triangle and to solve simple problems3Q&A pairs
- Use the sine, cosine and tangent ratios to find unknown sides and angles in right-angled triangles5Q&A pairs
- Calculate the volume and surface area of cuboids, prisms and cylinders, and solve problems involving capacity5Q&A pairs
Number and Algebra
- Simplify expressions by collecting like terms, expand single and double brackets, and factorise using a common factor7Q&A pairs
- Carry out the four operations on integers, fractions and decimals, apply the order of operations, and round answers sensibly3Q&A pairs
- Find a percentage of a quantity, express one quantity as a percentage of another, calculate percentage change, and solve money problems including discount, profit and simple interest2Q&A pairs
- Express and simplify ratios, divide a quantity in a given ratio, work with rates, and solve direct proportion problems4Q&A pairs
Statistics and Probability
- Calculate the mean, median and mode of a set of data, find the range, and choose an appropriate average5Q&A pairs
- Find the probability of a single event as a fraction, decimal or percentage, and use the fact that probabilities sum to one4Q&A pairs
- Organise data into tables and display it using bar charts, pictograms and pie charts, and read information from such diagrams6Q&A pairs