Level 3
In the figure, PQRS is a rectangle with a perimeter of 84 cm. PU, PR, TU and TR are straight lines. The length of PQ is twice the length of QR.
  1. What is the area of rectangle PQRS?
  2. Given that the area of triangle TRU is 91 cm2
    , find the area of triangle SPU.
4 m
Level 3
In the figure, CEGH is a quadrilateral with an area of 110 cm2. The ratio of AH to HG to GF is 4 : 3 : 2. Given that the height of Triangle HOF is 20 cm, AF = 36 cm, and BH = 10 cm. Find the area of the figure.
4 m
Level 3
Jane was attempting to read a book within a week. On Monday, she had read 37 of the book. By Friday, she had read another 60 pages and the ratio of the number of pages read to the total number of pages was 9 : 11. Find the average number of pages Jane should have read each day to complete the book in a week.
5 m
Level 3
There were 500 T-shirts at a stall. 25 of them were with collars. T-shirts with collars were priced at $12 each. T-shirts without collars were priced at $8 each. The stall owner sold 38 of the T-shirts with collars and 56 of the T-shirts without collars. How much did he collect from all the T-shirts he sold?
4 m
Level 3
ABFG is a square. The length of CD is 35 of BF and the area of BCDE is 864 cm2. Given BC = EF, Find the area of the shaded parts.
4 m
Level 3
The diagram shows a park which comprises the picnic area and the fountain area. The cost of building the picnic area covering the whole area of Square ABCD is $20 per square metre and the cost of fencing the fountain area is $12 per metre. Given that FH is 250 m, AB is 38 of GK and FE is 150 m, find
  1. the cost of building the picnic area.
  2. the cost of fencing the fountain.
4 m
Level 3
18 oranges were sold for $12. How much did 24 oranges cost?
4 m
Level 3
12 similar strips of paper were glued to form a new long strip of paper of length 135 cm. The first and second strip were glued together to form an overlapped length of 3 cm as shown. This was consistent for the rest of the remaining strips of paper. Find the length of each original strip of paper.
4 m
Level 3
90 marbles cost $15.
  1. How many marbles can I buy with $1?
  2. I have just enough money to buy 54 marbles. How much do I have?
4 m
Level 3
There were some pears, guavas and mangoes. The number of pears was three times the number of guavas. The total number of pears and guavas was half of the number of mangoes. There were 180 fruits altogether. All the mangoes were sold at 6 for $20. How much money was collected from the sale of the mangoes?
4 m
Level 3
Figure A is a rectangle with an area of 192 cm2. The breadth of the rectangle is 34 as long as its length. Figure B is a square. Given that both figures have the same perimeter, find the area of Figure B.
4 m
Level 3
The sum of two numbers is 48. The greater number is thrice the smaller number.
  1. What is the smaller number?
  2. What is the greater number?
4 m
Level 3
The figure is a square that is made up of 3 identical rectangles. The square has an area of 36 cm2. Find the perimeter of the shaded rectangle.
4 m
Level 3
Fion used 47 of the flour to bake a cake. She used 14 of the remaining flour to bake some muffins. Given that Fion was left with 450 g of flour, how much flour did she have at first?
4 m
Level 3
The figure consists of two overlapping squares ABCD and DEFG. H is the 15 mark of the sides, AB and FG. Express the shaded area as a fraction of the total unshaded area. (Give your answer in the simplest form.)
4 m
Level 3
Serena used 25 of the flour and an additional 50 g to bake some cake. She used 14 of the remaining flour to bake some muffins. Given that Serena was left with 156 g of flour, how much flour did she have at first?
4 m
Level 3
Jessa, Tessa and Titus shared some cookies. Jessa took 6 more than 14 of the cookies. Tessa took 2 more than 23 of the rest of the cookies. Titus took the last 12 cookies. How many cookies did Tessa take?
4 m
Level 3
Serena used 25 of the flour and an additional 50 g to bake some cake. She used 14 of the remaining flour and an additional 24 g to bake some muffins. Given that Serena was left with 168 g of flour, how much flour did she have at first?
4 m
Level 3
Ray left City B for City A at 07 30. Lindy left City B for City C at the same time. At 10 30, they were 480 km apart. Both maintained a constant speed and reached their destination at the same time at 12 00 h.
  1. Find the distance between Cities A and C.
  2. If Lindy's speed was 35 the speed of Fred, find Ray's speed.
5 m
Level 3
In a class, 14 of the students and an additional 3 boys like basketball. 13 of the remaining students in the class less 3 students like badminton and the rest of the 25 students in the class like rugby. How many students are there in the class?
4 m