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Non-Routine Questions 2
NoTeS
Thinking Skill: Sequencing
A sequence shows the order of a series of numbers. Sequencing is a thinking
skill that requires us to place numbers in a particular order.
There are many terms in a sequence. ‘Terms’ refers to the numbers in a
sequence.
1, 4, 7, 10, 13, 16, …
1st 2nd 3rd 4th 5th 6th
term term term term term term
To place these numbers in the correct order, you must first find the rule that
generates the sequence. In a simple arithmetic sequence, you can either add or
subtract to find the unknown terms in the sequence.
1st step: Observe if the sequence is in an increasing or a decreasing order.
2nd step: Choose two consecutive terms. Add or subtract to find the difference
between each term.
3rd step: Use the result to test and find all the unknown terms in the
sequence.
Learning Maths Book 1
© Singapore Asia Publishers Pte Ltd. All rights reserved.
Reproducible for home/classroom use only.
STRICTLY NOT FOR SALE.
Non-Routine Question 2Do these questions on another piece of paper.
. Mrs Adam goes to the supermarket. She wants to buy 10 kg of
sugar. However, the sugar is sold in 1-kg, 2-kg and 5-kg sacks.
List five ways that she can buy 10 kg of sugar.
5 kg
1 kg 2 kg
. ���� iiss aa ����ddiiggiitt nnuummbbeerr.. ��hhee ssuumm ooff iittss ttwwoo ddiiggiittss iiss ��.. ��hhee fifirrsstt ddiiggiitt
is 3 mmoorree ttthhhaaannn ttthhheee ssseeecccooonnnddd dddiiigggiiittt... ���hhhaaattt iiisss ������
3. SSeeaann kkeeeeppss sssooommmeee bbbbiiiirrrrddddssss aaaannnndddd ccccaaaattttssss iiiinnnn hhhhiiiissss ggggaaaarrrrddddeeeennnn.... TTTThhhheeee ttttoooottttaaaallll nnnnuuuummmmbbbbeeeerrrr
of legs of these animals is 22. The number of cats iiss 11 mmoorree tthhaann
the number of birds. How many cats and bbiirrddss ddooeess hhee kkeeeepp��
4. Clock A chimes every 2 minutes. Clock B chimes every 5 mmiinnuutteess..
If the two clocks are timed together, how many ttiimmeess ddoo tthhee ttwwoo
clocks chime in 10 minutes�
5. Joyce has 3 dollar notes of different denominations. The ttoottaall vvaalluuee
of these dollar notes is $17. �hat are the dollar notes that she has�
6. Mandy has 2 watches that are not working well. �atch A is 4 hours
faster. �atch B is 8 hours slower. �hat should the actual time be
in the morning when both watches show 12:00�
Learning Maths Book 1
© Singapore Asia Publishers Pte Ltd. All rights reserved.
Reproducible for home/classroom use only.
STRICTLY NOT FOR SALE.
Non-Routine Question 27.
+ + + + = 16
+ + + = 20
�hat is the value of �
8. Keith flipped open a book. �he sum of the facing page numbers
was 99. �hich two pages was Keith looking at�
9. Christopher has four dollar notes which amount to $10. The
difference between the highest value and the lowest value of the
dollar notes is the total value of the two similar remaining dollar
notes. �hat are the dollar notes that Christopher has�
0. I am a ��digit number. When the first digit is subtracted from the
second digit, the result is 7. �he first digit is an even number while
the second digit is an odd number. �hat number am I�
. Nicky watched a cartoon in the afternoon. It lasted an hour. Five
hours after the cartoon, he went to bed at 9 o’clock. �hat time did
the cartoon start�
. George’s mother gave him two coins. The sum of the coins was
less than a dollar. �hat was the greatest amount of money that
George could receive from his mother�
Learning Maths Book 1
© Singapore Asia Publishers Pte Ltd. All rights reserved.
Reproducible for home/classroom use only. 3
STRICTLY NOT FOR SALE.
Non-Routine Question 2
