End-of-year maths revision for P1 to P5 and Sec 4

Primary 1 maths: end-of-year revision

Topic: End-of-year revision (Select 9) – a mixed set of word problems that pulls together what your child has learnt this year.

• -Use multiplication for equal groups, e.g. the number of legs on 4 beetles
• -Solve subtraction stories by spotting the part being found, such as money left after buying a book
• -Share items equally using early division, e.g. 15 balls into 3 baskets, and draw to show the answer
• -Work out positions in a queue from clues like “next to” and “between”
• -Use place value clues to find a mystery number less than 100
• -Solve two-step problems, e.g. Peter has 12 more stickers than John, so how many do they have altogether
• -Count money in cents from a mix of 20-cent, 10-cent and 5-cent coins
• -Read a picture graph where each symbol stands for 2 students

Primary 2 maths: end-of-year revision

Topic: End-of-year revision (Select 13) – a mixed set of problem sums that brings together the year’s key P2 topics.

• -Count the straight lines and curves in a figure
• -Tell the time from a clock and work out how long an activity takes, e.g. 5 minutes per page
• -Read graphs of visitors over 5 days and compare the days
• -Find totals in litres and kilograms using multiplication, e.g. 7 pails holding 4 litres each
• -Work backwards to find how much money someone had at first
• -Use the “suppose all are” method to find how many vans are in a carpark from the number of wheels
• -Draw models for “more than”, “shorter than” and “three times as much” problems
• -Name fractions of a whole, e.g. pieces of a chocolate bar given away

Primary 3 maths: end-of-year exam revision

Topic: End-of-year exam revision (Select 13) – a mixed set of problem sums covering the main P3 topics.

• -Find the perimeter of rectangles made from identical squares, and tile a wall pattern
• -Correct a fast or slow clock and work out start times
• -Compare angles with a right angle
• -Draw models for “three times as many” and “half as many” problems, including before-and-after transfers of water between tanks
• -Complete a bar graph with missing parts and answer questions on it
• -Solve rate problems, e.g. 3 apples for $2, or 4 paper cranes in 15 minutes
• -Work out how much is saved on concert tickets during a promotion
• -Use place value to form numbers, and make 3-digit numbers from given digits
• -Order fractions from smallest to largest

Primary 4 maths: end-of-year exam revision

Topic: End-of-year exam revision (Select 14) – exam-style questions across P4 topics.

• -Draw models for money problems in dollars and cents, e.g. jeans, a bag and a hat
• -Use the “suppose all are” method for coin problems
• -Solve before-and-after problems, including two people giving away the same number of items
• -Count acute angles and find unknown angles in rectangles and folded paper
• -Find the top face from nets of cubes, and spot correct lines of symmetry
• -Find the area and perimeter of figures made of identical squares and rectangles, including a path around a pool
• -Use substitution, e.g. 1 boy has as many coins as 2 girls
• -Order decimals, name fractions of a figure and work out finishing times
• -Read a table and compare totals

Primary 5 maths: end-of-year exam revision

Topic: End-of-year exam revision (Select 16) – challenging problem sums across the P5 syllabus.

• -Use the excess-and-shortage method to share donuts among friends
• -Solve multi-step problems involving four boxes using models and units
• -Work with percentage, including discounts, prices 25% higher, and “40% sold, then 75% of the remainder”
• -Find shaded areas using triangles with the same base and height
• -Solve rate problems on taps filling containers, in litres per minute
• -Work out delivery charges from a rates table
• -Read a pie chart and round percentages to 1 decimal place
• -Use common multiples to find when three sets of lights blink together
• -Find unknown angles in rectangles and folded triangles
• -Work with decimals and place value, e.g. tenths

Secondary 4 Additional Maths: O-Level final revision

Topic: Final revision 3 – Calculus and Plane Geometry (Select 23) – exam-style Additional Mathematics questions.

• -Differentiation: find stationary points and use the second derivative test to tell a maximum from a minimum
• -Decide whether a function is increasing or decreasing
• -Solve connected rates of change problems using the chain rule
• -Find the equations of tangents and normals, including for curves with exponential and trigonometric terms
• -Apply maximum and minimum to a real-life problem: finding the most efficient size for a vacuum flask
• -Integration: find a curve’s equation from its gradient, evaluate definite integrals and find the area of a region under a curve
• -Kinematics: work out acceleration and distance from a velocity equation
• -Plane geometry proofs using the alternate segment theorem and similar triangles