文档文本内容
Non-Routine Questions 1
Notes
Heuristics: Act It out
Act It out is a problem-solving strategy that allows one to visualise
a problem through the use of physical objects. You will play a more
active role in solving the problem by manipulating these objects.
The main advantage of using this strategy is the mobility of
information in the process of solving the problem. When you make
a wrong step in the process, you can retrace the step without
erasing or cancelling it.
The other advantage is that this strategy helps develop a better
understanding of the problem and solution through visual objects
or images. In this way, you will be able to remember how to solve
such problems vividly.
Some of the commonly used objects for this strategy are
matchsticks, straws, cards, strings, water, sand, pencils, paper
and even dice.
Look at the problem below.
How can you make two identical squares by moving only two
matchsticks?
Can you solve the problem using the Act It Out strategy?
Learning Maths Book 2
© Singapore Asia Publishers Pte Ltd. All rights reserved.
Reproducible for home/classroom use only.
STRICTLY NOT FOR SALE.
Non-Routine Questions 1Do these questions on another piece of paper.
. Guess a 3-digit number based on the given hints.
• The first digit is greater than 7 and is an even number.
• The second digit is smaller than 7 and is the smallest
odd number.
• The third digit is the difference between the first and
the second digits.
. Benny bought a skateboard at $126. He paid the shop assistant
the exact amount with seven pieces of dollar notes. All the seven
pieces of dollar notes were even numbers. Identify all the dollar
notes that he used to pay for the skateboard.
3. Jessica has twice as many apples as Kelly. Kelly has thrice as
many apples as Gina. Gina has 2 apples. Draw a model and find
the number of apples Jessica has.
4. Fill in each blank with numbers 2, 3, 4, 5, 6 and 7 so that the sum
of the numbers along each side is consecutive.
Sum:
Sum:
Sum:
5. Mr David’s mass is a 2-digit number. The first digit is three times
the second digit. Both digits are odd numbers. What is Mr David’s
mass if his mass is above 35 kg?
Learning Maths Book 2
© Singapore Asia Publishers Pte Ltd. All rights reserved.
Reproducible for home/classroom use only.
STRICTLY NOT FOR SALE.
Non-Routine Questions 16. The sum of two facing pages of a dictionary can be divided by 3.
The result of the division is 3. What are the two facing pages?
7. Jonathan, Jason and Jim each has a ruler. Jason’s ruler is longer
than Jonathan’s but shorter than Jim’s. Who has the shortest
ruler?
8. Natalie had a box of marbles. Her mother gave her twice the
number of marbles that she had. Her father then gave her thrice
the number of marbles that her mother had given her. She had 27
marbles in the end. How many marbles did she have at first?
9. Simon had a dollar note. He used it to buy a bowl of noodles for
$2 and received the change in four similar dollar notes. What was
the dollar note that Simon had at first?
0. The sum of three consecutive numbers is 9. What are the three
numbers?
. The sum of two facing pages of a comic book can be divided by 3.
The result is 7. What are the two facing pages?
. Grace is heavier than Glen but lighter than Geraldine. Who is the
heaviest among the three children?
Learning Maths Book 2
© Singapore Asia Publishers Pte Ltd. All rights reserved.
Reproducible for home/classroom use only. 3
STRICTLY NOT FOR SALE.
Non-Routine Questions 1
