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 equation of a straight line from given conditions, and use gradients to test for parallel and perpendicular lines9Q&A pairs
- Calculate the distance between two points, the midpoint of a segment, and the gradient, and apply them to geometric problems10Q&A pairs
- Use position vectors and the relationship between points to express vectors, and apply parallel and ratio properties in geometry7Q&A pairs
- Represent vectors in column form, add and subtract them and multiply by a scalar, and find the magnitude of a vector8Q&A pairs
Equations and Inequalities
- Solve linear equations in one unknown, including those with fractions, and solve simultaneous linear equations by substitution and elimination10Q&A pairs
- Solve linear inequalities in one variable, represent solutions on a number line, and find integer values that satisfy an inequality7Q&A pairs
- Solve quadratic equations by factorisation and interpret the solutions, including equations that must first be rearranged into standard form8Q&A pairs
- Solve quadratic equations using the quadratic formula and by completing the square, and express a quadratic in completed-square form7Q&A pairs
- Formulate linear and quadratic equations from worded problems, solve them, and interpret the solution in context6Q&A pairs
Functions and Graphs
- Interpret distance-time and speed-time graphs, using the gradient and the area under the graph to find speed, acceleration and distance6Q&A pairs
- Solve equations graphically by finding intersection points, and estimate solutions and gradients from a drawn curve6Q&A pairs
- Recognise and sketch graphs of cubic, reciprocal and exponential functions, and describe their main features6Q&A pairs
- Interpret and use the equation y = mx + c, find the gradient and intercept, and determine the equation of a straight line7Q&A pairs
- Sketch the graph of a quadratic function, find the intercepts and the turning point, and use the line of symmetry8Q&A pairs
Geometry and Properties of Circles
- Apply angle properties of parallel lines, triangles and polygons, including interior and exterior angle sums, to find unknown angles6Q&A pairs
- Apply the circle theorems relating angles at the centre and circumference, angles in a semicircle and the same segment, cyclic quadrilaterals, and tangent properties8Q&A pairs
- Identify congruent and similar figures, apply the conditions for congruence and similarity, and use scale factors for lengths, areas and volumes5Q&A pairs
- Construct triangles, angle bisectors and perpendicular bisectors with compasses, and describe and draw simple loci5Q&A pairs
- Apply Pythagoras theorem to find an unknown side in a right-angled triangle and to test whether a triangle is right-angled5Q&A pairs
Mensuration and Trigonometry
- Calculate arc length and sector area as fractions of a circle, and find the perimeter and area of segments8Q&A pairs
- Calculate the perimeter and area of triangles, quadrilaterals and circles, and of composite plane figures8Q&A pairs
- Apply the sine rule and the cosine rule to find sides and angles in any triangle, and find the area using the sine formula8Q&A pairs
- Use sine, cosine and tangent to find unknown sides and angles in right-angled triangles, including angles of elevation and depression5Q&A pairs
- Calculate the volume and surface area of prisms, cylinders, pyramids, cones and spheres, and of composite solids9Q&A pairs
Number and Algebra
- Expand products, factorise expressions including quadratics and the difference of two squares, and simplify algebraic fractions7Q&A pairs
- Apply the laws of indices including zero, negative and fractional powers, and express and calculate with numbers in standard form7Q&A pairs
- Carry out the four operations on integers, fractions and decimals, apply the order of operations, and use approximation and estimation6Q&A pairs
- Calculate percentages, percentage change and reverse percentages, and apply them to profit, loss, discount, taxation and simple and compound interest5Q&A pairs
- Use ratio to share and compare quantities, work with rates, and solve problems involving direct and inverse proportion8Q&A pairs
Statistics and Probability
- Calculate the mean, median and mode, including from frequency tables, and find the range as a measure of spread10Q&A pairs
- Construct a cumulative frequency curve and use it to estimate the median, quartiles, interquartile range and percentiles5Q&A pairs
- Construct and interpret bar charts, pie charts, line graphs, histograms and stem-and-leaf diagrams, and choose an appropriate display8Q&A pairs
- Calculate the probability of single events, and of combined events using the addition and multiplication rules with tree diagrams5Q&A pairs