课爱 classai 中文

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Browse classai's P5–P6 Maths questions by topic: fractions, ratio, percentage, speed, circles, volume, algebra and more — each with a hint, answer, step-by-step explanation and practice questions.

Fractions

Fraction · using part of the remainderMei Ling brought some money to the school fair. She first spent 3/8 of it on games. Then …Fraction division · measurement divisionSiti has a 5 3/8 m roll of ribbon. She cuts it into pieces of 3/4 m each to make bookmark…Fractions · fraction of the remainderMei Ling had some money at a school fair. She first spent 1/4 of her money on a class T-s…Fraction of a fractionIn P6 Kindness, 2/3 of the pupils were girls. 3/4 of the girls joined the choir. If 30 gi…

Ratio

Ratio · constant totalAt a school carnival, Ali and Mei Ling had some game coupons. At first, the ratio of Ali'…Ratio · three quantitiesAt a school funfair, Ali, Mei Ling and Raju collected money for charity. The amounts they…Ratio · unchanged total and common partsMei Ling and Raju had some school funfair coupons in the ratio 7 : 5. Raju then gave 48 c…Linked ratios · common unitsAli, Mei Ling and Raju collected 420 bookmarks altogether. The number of bookmarks Ali ha…

Percentage

Percent · discount and GSTMei Ling wanted to buy a jacket at a shopping mall in Singapore. The shop first gave a 25…Percentage · increase then decreaseAt a shop in Toa Payoh, the price of a pair of sports shoes was first increased by 20%. L…Percentage · find whole from differenceAt a P6 school camp, 35% of the pupils were boys. There were 126 more girls than boys. Ho…Percent · reverse comparisonDuring the school Green Week, Ali collected 25% more recycling points than Mei Ling. What…

Speed

Speed · moving towards each otherAt East Coast Park, Ali and Mei Ling started at the same time from the two ends of a 1800…Speed · travelling towards each otherAli travels by car from Singapore to Kuala Lumpur at 80 km/h. At the same time, Mei Ling …Speed · catch-upMei Ling started walking from the void deck to the MRT station along the same route at 75…Average speed · round tripSiti cycled from her home to East Coast Park and returned along the same route. Her speed…

Circles

Circle · overlapping quadrants in a squareAli designed a pattern on a square card ABCD of side 14 cm. He drew two quadrants inside …Circle · wheel rotationsMei Ling cycles 1.32 km along the park connector. The diameter of her bicycle wheel is 84…Circle · semicircle composite figureSiti's school garden is in the shape of a stadium: a rectangle with a semicircle attached…Circle · area from circumferenceSiti has a circular table mat. The length around the edge of the mat is 88 cm. Take π = 2…

Volume

Volume · change in water levelSiti has a rectangular water tank with an internal length of 48 cm, breadth of 25 cm and …Volume · equal water levelsRaju has two rectangular tanks on a level table. Tank A has a base of 48 cm × 25 cm and c…Volume · rise in water levelMei Ling has a rectangular tank with a base measuring 50 cm by 32 cm. After she puts a st…Volume · filling timeMei Ling has a rectangular water tank with internal length, width and height of 60 cm, 45…

Algebra

Algebra · simplify and substituteAt a school carnival, Siti bought n game coupons. Ali bought 2 more coupons than Siti. Ra…Algebra · form and evaluate expressionsMei Ling bought 4 meal coupons at $n each and 3 drink coupons at $2 each for a school car…Algebra · combining like termsRaju had 6a + 15 football cards. He gave 2a football cards to Siti and then bought 9 more…Algebra · perimeter and area of a rectangleFor the school open house, Siti makes a rectangular notice board. Its length is (3y + 8) …

Geometry

Parallelogram · finding an unknown angleMei Ling drew a parallelogram ABCD in art class and drew the diagonal AC. Given that ∠ABC…Geometry · isosceles triangles and angles on a straight lineSiti pasted two triangles on a straight line during art class. B, C and D lie on a straig…Folding · equal anglesMei Ling made a rectangular bookmark ABCD, where AB ∥ CD. She folded the bookmark along t…Parallel lines and angles in trianglesAli is making a trapezium frame ABCD for the class notice board. AB // DC, and diagonal B…

Area & perimeter

Triangle area · finding base and heightAli drew a rectangle ABCD on a school notice board. AB = 30 cm and BC = 18 cm. E is on AB…Composite figures · triangle cut-outMei Ling has a rectangular piece of coloured paper measuring 32 cm by 24 cm. She cuts awa…Area of triangles · point inside a rectangleAli chose a point P inside rectangle ABCD and joined P to A, B, C and D. Rectangle ABCD i…

Data analysis

Pie chart · finding the totalThe pie chart below shows the favourite after-school activities of the pupils in Class 6A…Pie chart · percentage to amountThe pie chart below shows how Siti's family spends their monthly expenses. Food 30%, Rent…Average · adding one pupil24 pupils took a Math quiz. Their average score was 76 marks. When Siti's score was inclu…