Question

12. Kate wishes to cut some squares from a vanguard
sheet with a length of 64 cm and a breadth of
48 cm. She likes the squares to be as big as possible
and she does not want any leftover vanguard sheet.
(0) What is the length of each square?
(1) How many squares can she cut altogether?
14. Michael is an art elective programme student who
is working on an assignment. He plans to cover a
rectangular sheet of paper of dimensions 126 cm by
108 cm with identical square patterns.
(1) What is the least number of square patterns
that could be formed on the sheet of paper?
(ii) How do you determine what other shapes
can the patterns be if they are to fit the sheet of
paper perfectly? Explain your answer.
13. A class has between 30 to 40 students. Each boy
in the class brings 15 chocolate bars for a class party
to celebrate Teacher's Day. The chocolate bars are
shared equally among the 20 girls of the class and
their form teacher with no leftovers.
(i) How many students are there in the class?
(ii) How many chocolate bars does their form
teacher receive?
15. Michael, the art elective programme student,
is working on another assignment. He designs a
rectangular pattern measuring 45 mm by 42 mm.
He is required to use identical rectangular patterns to
form a square. The maximum area of the square
allowed is 1.6 m².
(i) How many patterns does he need to form the
smallest square?
(ii) What are the dimensions of the largest square
that he can form?​

Answer 1

Answer:

Question 2:

The lid of a rectangular box of sides 40 cm by 10 cm is sealed all round with tape. What is the length of the tape required?

Answer:

Total length of tape required = Perimeter of rectangle

= 2(length + breadth)

= 2(40 + 10)

= 2 * 50

= 100 cm

= 1 m {Since 1 m = 100 cm}

Thus, the total length of tape required is 100 cm or 1 m.