Same pattern as PSLE overlapping shapes. New numbers, new story. Try each one on paper, then check the working below — or watch it drawn out, the same way the problem above is.
Question 1
A 10 cm square tile is placed over the corner of a 20 cm square tile. The two overlap at one corner, as shown. The uncovered part of each tile is shaded. Find the difference between the two shaded areas.
Work it out on paper, then check below. ▶ See the working
Question 2
A 10 cm square tile is placed over the corner of a 16 cm square tile. The two overlap at one corner, as shown. The uncovered part of each tile is shaded. Find the difference between the two shaded areas.
Work it out on paper, then check below. ▶ See the working
Question 3
A 8 cm square tile is placed over the corner of a 10 cm square tile. The two overlap at one corner, as shown. The uncovered part of each tile is shaded. Find the difference between the two shaded areas.
Work it out on paper, then check below. ▶ See the working
Question 4
For a class scrapbook, two square pieces of paper, of sides 20 cm and 9 cm, are pasted onto a page. The smaller piece is pasted over one corner of the bigger piece, as shown. The part of each piece that is not covered by the other is shaded. How much bigger is the shaded part of the 20 cm piece than the shaded part of the 9 cm piece?
Work it out on paper, then check below. ▶ See the working
Question 5
Two square photographs, of sides 24 cm and 12 cm, are pinned to a board. The smaller one hangs over a corner of the bigger one, as shown. The part of each photograph left showing on its own is shaded. How much bigger is the shaded part of the 24 cm photograph?
Work it out on paper, then check below. ▶ See the working
Question 6
Two square photographs, of sides 12 cm and 8 cm, are pinned to a board. The smaller one hangs over a corner of the bigger one, as shown. The part of each photograph left showing on its own is shaded. How much bigger is the shaded part of the 12 cm photograph?
Work it out on paper, then check below. ▶ See the working
Question 7
For the National Day Parade, two square banners, of sides 20 cm and 16 cm, are hung on the fence. The smaller banner hangs over one corner of the bigger banner, as shown. The part of each banner left showing on its own is shaded. How much bigger is the shaded part of the 20 cm banner than the shaded part of the 16 cm banner?
Work it out on paper, then check below. ▶ See the working
Question 8
Mrs Lim irons two square handkerchiefs, of sides 24 cm and 15 cm, on the same board. She lays the smaller one over one corner of the bigger one, as shown. The part of each handkerchief not covered by the other is shaded. How much bigger is the shaded part of the 24 cm handkerchief than the shaded part of the 15 cm handkerchief?
Work it out on paper, then check below. ▶ See the working
Question 9
In the PE store, a 8 cm square foam mat is placed over the corner of a 10 cm square foam mat. The two mats overlap at one corner, as shown. The part of each mat not covered by the other is shaded. Find the difference between the two shaded areas.
Work it out on paper, then check below. ▶ See the working
Question 10
In Home Economics, Mr Rajan gives each pair of pupils two square felt patches, of sides 16 cm and 8 cm. The smaller patch is placed over one corner of the bigger patch, as shown. The part of each patch not covered by the other is shaded. How much bigger is the shaded part of the 16 cm patch than the shaded part of the 8 cm patch?
Work it out on paper, then check below. ▶ See the working
Question 11
In the school dance studio, two square dance mats, of sides 18 cm and 8 cm, are laid on the floor. The smaller mat overlaps one corner of the bigger mat, as shown. The uncovered part of each mat is shaded. Find the difference between the two shaded areas.
Work it out on paper, then check below. ▶ See the working
Question 12
Two square cards, of sides 15 cm and 10 cm, are laid on a table. The smaller card covers one corner of the bigger one, as shown. The part of each card that is not covered by the other is shaded. How much bigger is the shaded part of the 15 cm card than the shaded part of the 10 cm card?
Work it out on paper, then check below. ▶ See the working
Question 13
In art class, two square canvas boards, of sides 25 cm and 20 cm, are set on the table. The smaller board is rested over one corner of the bigger board, as shown. The part of each board that is not covered by the other is painted and shaded. How much bigger is the shaded part of the 25 cm board than the shaded part of the 20 cm board?
Work it out on paper, then check below. ▶ See the working
Question 14
For the National Day craft lesson, Farhan is given two square pieces of batik cloth, of sides 20 cm and 8 cm. He places the smaller piece over one corner of the bigger piece, as shown. The part of each piece of cloth left uncovered is shaded. How much bigger is the shaded part of the 20 cm piece than the shaded part of the 8 cm piece?
Work it out on paper, then check below. ▶ See the working