First
A shop owner has a total of 40 bicycles and tricycles for sale. There are 92 wheels altogether. How many tricycles are there?
A shop owner has a total of 40 bicycles and tricycles for sale. There are 92 wheels altogether. How many tricycles are there?
Maximise: All are Bicycles
40 × 2 = 80 wheels
Gap Amount
= 92 - 80 = 12
Gap Unit
3 wheels each - 2 wheels each = 1 wheel each
= 92 - 80 = 12
Gap Unit
3 wheels each - 2 wheels each = 1 wheel each
Quantity of Tricycles
= 80 wheels ÷ 1 wheel each
= 80 tricycles
Second
Zachary saw 20 camels and peacocks at the local zoo.
A camel has 4 legs while a peacock has 2.
He decides to count the total number of their legs for a science experiment and found out that they have 46 legs altogether.
How many camels and how many peacocks did he see?
Answer: (4 camels, 16 peacocks)
Third
There was a total of 47 insects and arachnids in a Creepy Crawlies Exhibit at the Science Centre.
It was found that there was a total of 318 legs altogether.
How many arachnids and how many insects were there of an arachnid has 4 pairs of legs while an insect has 3?
Answer: (18 arachnids, 29 insects)
Fourth
Jerome bought 36 shirts for his soccer team.
He paid $12 for each medium-sized shirt and $8 for each small-sized shirt.
He paid $376 for all the shirts.
How many small-sized shirts did Jerome buy?
Fifth
45 big and small containers have a total mass of 265kg.
Each big container has a mass of 7kg.
Each small container has a mass of 5kg.
How many small container are there?
Sixth
The total length of 37 pieces of ribbons and strings 2170cm.
Each piece of ribbon measures 70cm and each piece of string measures 50cm.
How many more pieces of string than ribbon are there?
Seventh
Patricia divided 201kg of corn into 7kg packets and 5kg packets.
She then found out that she had a total of 33 packets.
How many 5kg packets of corn did Patricia pack?
Eighth
The average score of 100 participants at a mathematics inter-school competition was 63.
Given that the average score of the boys was 60 and the average score of the girls was 70, find
i) the number of girls who participated in the competition
ii) the number of boys
Ninth
Tom spent $81 on a total of 24 toy cars and toy planes.
Tenth
Eleventh
A tutition centre paid $12006 for a total of 256 wooden chairs and metal chairs. A wooden chair costs $69 and a metal chair costs $28.
How many wooden chairs were purchased for the tuition centre?
Twelfth
Lolita packed a total of 1016 baby carrots and potatoes into 57 styrofoam boxes.
These baby carrots and potatoes are packed into separate boxes.
Each hox can hold either 36 baby carrots or 8 potatoes only.
Thirteenth
Meng sold a total of 368 large and small durians at the prices shown below and collected $2760.
How many large durians did Meng sell?
Fourteenth
Weiyang started a savings plan by putting 2 coins in a money box every day.
Each coin was either a 20 cent or 50 cent coin.
His mother also put in a $1 coin in the box every 7 days.
The total value of the coins after 182 days was $133.90
a) How many coins were there altogether?
b) How many of the coins were 50 cent coins?
Average
A group of 150 pupils participated in a Science contest. Their average was 66 marks. The average score for the boys was 70 marks and for the girls, it was 60 marks. How many girls participated in the Science contest?
Total Marks = 150 pupils × 66 marks each = 9900 marks
All Boys Total Marks = 150 boys × 70 marks each = 10 500
Gap Amount = 10 500 - 9900 = 600
Gap Unit = 70 - 60 = 10 marks each
Gap Quantity = 600 marks / 10 marks each = 60 girls
= 80 wheels ÷ 1 wheel each
= 80 tricycles
Second
Zachary saw 20 camels and peacocks at the local zoo.
A camel has 4 legs while a peacock has 2.
He decides to count the total number of their legs for a science experiment and found out that they have 46 legs altogether.
How many camels and how many peacocks did he see?
Answer: (4 camels, 16 peacocks)
Third
There was a total of 47 insects and arachnids in a Creepy Crawlies Exhibit at the Science Centre.
It was found that there was a total of 318 legs altogether.
How many arachnids and how many insects were there of an arachnid has 4 pairs of legs while an insect has 3?
Answer: (18 arachnids, 29 insects)
Fourth
Jerome bought 36 shirts for his soccer team.
He paid $12 for each medium-sized shirt and $8 for each small-sized shirt.
He paid $376 for all the shirts.
How many small-sized shirts did Jerome buy?
Fifth
45 big and small containers have a total mass of 265kg.
Each big container has a mass of 7kg.
Each small container has a mass of 5kg.
How many small container are there?
Sixth
The total length of 37 pieces of ribbons and strings 2170cm.
Each piece of ribbon measures 70cm and each piece of string measures 50cm.
How many more pieces of string than ribbon are there?
Patricia divided 201kg of corn into 7kg packets and 5kg packets.
She then found out that she had a total of 33 packets.
How many 5kg packets of corn did Patricia pack?
Eighth
The average score of 100 participants at a mathematics inter-school competition was 63.
Given that the average score of the boys was 60 and the average score of the girls was 70, find
i) the number of girls who participated in the competition
ii) the number of boys
Ninth
Tom spent $81 on a total of 24 toy cars and toy planes.
Each toy car cost $3 and each toy planes $4. How many toy cars did Tom buy?
Maximize: All Units are Toy Planes
24 × $4 = $96
24 × $4 = $96
Gap Amount
= $96 - $81 = $15
= $96 - $81 = $15
Gap Unit = Big Unit - Small Unit
= $4 - $3 = $1
= $4 - $3 = $1
Quantity of Toy Cars
= Gap Amount ÷ Gap Unit
= $15 ÷ $1 = 15 cars
= Gap Amount ÷ Gap Unit
= $15 ÷ $1 = 15 cars
Tenth
Eleventh
A tutition centre paid $12006 for a total of 256 wooden chairs and metal chairs. A wooden chair costs $69 and a metal chair costs $28.
How many wooden chairs were purchased for the tuition centre?
Twelfth
Lolita packed a total of 1016 baby carrots and potatoes into 57 styrofoam boxes.
These baby carrots and potatoes are packed into separate boxes.
Each hox can hold either 36 baby carrots or 8 potatoes only.
Thirteenth
Meng sold a total of 368 large and small durians at the prices shown below and collected $2760.
How many large durians did Meng sell?
Fourteenth
Weiyang started a savings plan by putting 2 coins in a money box every day.
Each coin was either a 20 cent or 50 cent coin.
His mother also put in a $1 coin in the box every 7 days.
The total value of the coins after 182 days was $133.90
a) How many coins were there altogether?
b) How many of the coins were 50 cent coins?
Average
A group of 150 pupils participated in a Science contest. Their average was 66 marks. The average score for the boys was 70 marks and for the girls, it was 60 marks. How many girls participated in the Science contest?
Total Marks = 150 pupils × 66 marks each = 9900 marks
All Boys Total Marks = 150 boys × 70 marks each = 10 500
Gap Amount = 10 500 - 9900 = 600
Gap Unit = 70 - 60 = 10 marks each
Gap Quantity = 600 marks / 10 marks each = 60 girls
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