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Number and Algebra, NAP-J2-28v1

Dostoy has 73 match sticks.

He uses 6 match sticks to make two small triangles.
 

 
What is the largest number of small triangles that Dostoy can make with his 73 match sticks?

`19` `21` `24` `27`
 
 
 
 
Show Answers Only

`24`

Show Worked Solution

`text(3 match sticks are used for 1 triangle.)`

`text(Number of triangles)` `= 73 ÷ 3`
  `= 24\ text(remainder 1)`

 
`:.\ text(24 triangles.)`

Filed Under: Patterns, Solving Problems - Multiply/Divide Tagged With: Band 6, smc-3018-20-Divide, smc-3018-35-Remainder, smc-3021-20-Patterns and images

Number and Algebra, NAP-K2-16 SA v1

There are 54 maths students at an award presentation.

Mr Habib lines them up so there are 6 students in each row.

How many rows are there?

 
Show Answers Only

`9`

Show Worked Solution
`text(Number of rows)` `= 54 -: 6`
  `= 9`

Filed Under: Solving Problems - Multiply/Divide Tagged With: Band 5, smc-3018-20-Divide

Number and Algebra, NAP-H2-16v1

Lena's orchard had 84 apples to sell at the farm gate.

She packed them in bags of 15 apples for sale.

He had 12 apples left over.

How many bags did Lena pack?

`4`  `5` `11` `66`
 
 
 
 
Show Answers Only

`5`

Show Worked Solution

`84 ÷ 15 = 5\ text(remainder 9)`

`:. \ text(Lena packed 5 bags.)`

Filed Under: Solving Problems - Multiply/Divide Tagged With: Band 5, smc-3018-20-Divide, smc-3018-35-Remainder

Number and Algebra, NAP-K2-20

On Monday, Jeremy went to the doctor and was given 24 tablets.

Jeremy was to take 5 tablets each day starting from Monday.

On which day did Jeremy take the last tablet?

Thursday Friday Saturday Sunday
 
 
 
 
Show Answers Only

`text(Friday)`

Show Worked Solution
`text(Number of days)` `= 24 ÷ 5`
  `= 4\ text(remainder 4)`

 
`=>\ text(Jeremy has his last tablet on the 5th day.)`

`:.\ text(Friday)`

Filed Under: Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, Solving problems - Multiply/Divide Tagged With: Band 6, smc-3018-20-Divide, smc-3018-35-Remainder, smc-3085-20-Division, smc-922-20-Division

Number and Algebra, NAP-B2-20

A group of soccer fans all go to a soccer game.

Entry to the game costs $3.

Altogether the group pay $156.

How many soccer fans are there in the group?

`50` `51` `52` `63`
 
 
 
 
Show Answers Only

`52`

Show Worked Solution
`text(Fans in group)` `=156 -: 3`
  `=52`

Filed Under: Financial Mathematics, Money and Financial Mathematics, Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, Solving problems - Multiply/Divide Tagged With: Band 6, smc-2536-20-Whole $ calculations, smc-3018-20-Divide, smc-3085-20-Division, smc-3086-20-Whole $ calculations, smc-922-20-Division

Number and Algebra, NAP-B1-31 SA

5 boys win $3.

They share the money equally.

How much does each boy get?

  cents
Show Answers Only

`60¢`

Show Worked Solution
`$3 ÷ 5` `= 300¢ ÷ 5`
  `= 60¢`

 
`=>\ text(Each boy gets)\ 60¢`

Filed Under: Money, Money, Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, TESTLET F Tagged With: Band 6, smc-2907-20-Divide, smc-2909-20-$ and cents, smc-3018-20-Divide, smc-3020-20-$ and cents calculations

Number and Algebra, NAP-B1-28 SA

Kim is packing 27 plums into boxes to take to the market.

Each box can hold 5 plums.

What is the smallest number of boxes Kim needs to make sure all the plums are packed?

Show Answers Only

`6\ text(boxes)`

Show Worked Solution
`text(Boxes needed)` `=27 -: 5`
  `=5\ \ text(remainder 2)`
  `=6\ text(boxes)`

Filed Under: Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, TETSLET F Tagged With: Band 6, smc-2907-20-Divide, smc-2907-35-Remainder, smc-3018-20-Divide, smc-3018-35-Remainder

Number and Algebra, NAP-C1-20

Hillary is running a cooking class.

She has 31 students in the class and needs to give them 1 egg each for a recipe.

Eggs are sold in cartons of 12.

What is the least number of egg cartons that Hillary needs to buy? 

`1` `2` `3` `4`
 
 
 
 
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`text(3 cartons)`

Show Worked Solution

`text(The number of cartons needed)`

`= 31 ÷ 12`

`= 2\ \ text(remainder  7)`

`:.\ text(Hillary needs to buy 3 egg cartons.)`

Filed Under: Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, TESTLET E Tagged With: Band 4, smc-2907-20-Divide, smc-2907-35-Remainder, smc-3018-20-Divide, smc-3018-35-Remainder

Number and Algebra, NAP-G1-28 SA

There are 12 children in a year 3 class.

They are split up into 2 groups.

One group has 3 times the number of children as the other group.

How many children are in the larger group?

Show Answers Only

`9`

Show Worked Solution

`text(12 children)`

`text(Splits must be:)`

`text(Group 1 − 3 children)`

`text(Group 2 − 9 children)`

Filed Under: Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide Tagged With: Band 7, smc-2907-20-Divide, smc-3018-20-Divide

Number and Algebra, NAP-F1-28 SA

Jonah ran 5 times around a track.

He ran a total of 3000 metres.

Toby ran twice around the same track.

How many metres did Toby run?

Show Answers Only

`1200\ text(metres)`

Show Worked Solution
`text(Length of 1 lap)` `= 3000 ÷ 5`
  `= 600\ text(metres)`

 

`text(Metres in 2 laps)` `= 600 xx 2`
  `= 1200\ text(metres)`

Filed Under: Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide Tagged With: Band 7, smc-2907-20-Divide, smc-3018-20-Divide

Number and Algebra, NAP-G1-25 SA

Damon had $1.40 in 5-cent coins in his piggy bank.

How many 5-cent coins does Damon have?

Show Answers Only

`28`

Show Worked Solution

`text(One strategy:)`

`$1.40 = 14 xx 10¢`

`2 xx 5¢\ text(coins)\ = 10¢`

`:.\ text(Number of 5¢ coins)` `= 14 xx 2`
  `= 28`

Filed Under: Money, Money, Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, TETSLET F Tagged With: Band 6, smc-2907-20-Divide, smc-2909-20-$ and cents, smc-3018-20-Divide, smc-3020-20-$ and cents calculations

Number and Algebra, NAP-G1-13

Wayne needs to buy 14 pairs of socks for the players in his soccer team.

The socks are sold in packets of 3.

How many packets does Wayne need to buy?

`4` `5` `17` `42`
 
 
 
 
Show Answers Only

`5`

Show Worked Solution

`text(Socks in 4 packets)`

`= 4 xx 3 = 12`

`text(Socks in 5 packets)`

`= 5 xx 3 = 15`
 

`:. 5\ text(packets are needed.)`

Filed Under: Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, TESTLET E Tagged With: Band 4, smc-2907-20-Divide, smc-2907-35-Remainder, smc-3018-20-Divide, smc-3018-35-Remainder

Number and Algebra, NAP-H1-33 SA

Three children were playing a card game.

There were 52 cards. Each child was given 11 cards.

How many cards were left over?

Show Answers Only

`19\ text(cards)`

Show Worked Solution
`text(Cards used)` `= 3 xx 11`
  `= 33`

 

`:.\ text(Cards left over)` `= 52 – 33`
  `= 19`

Filed Under: Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide Tagged With: Band 7, smc-2907-20-Divide, smc-2907-30-Multi-Step, smc-3018-20-Divide, smc-3018-30-Multi-Step

Number and Algebra, NAP-H1-15

Bryan had $24 at the start of his holiday.

He spent $4 each day.

How many days did it take for Bryan to spend all his money?

`4` `6` `8` `20` `28`
 
 
 
 
 
Show Answers Only

`6`

Show Worked Solution
`text(Number of days)` `=24 -: 4`
  `=6\ text(days)`

Filed Under: Money, Money, Money, Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, TESTLET E Tagged With: Band 4, smc-2907-20-Divide, smc-2909-15-Whole $, smc-3018-20-Divide, smc-3020-15-Whole $ calculations

Number and Algebra, NAP-I1-21

In a soccer competition, there were 5 teams.

Over the season, a total of 55 goals were scored.

Each team scored the same number of goals for the season.

How many goals did each team score?

`60` `50` `12` `11`
 
 
 
 
Show Answers Only

`11`

Show Worked Solution

`text(Goal scored by each team)`

`= 55 ÷ 5`

`= 11`

Filed Under: Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, TESTLET E Tagged With: Band 5, smc-2907-20-Divide, smc-3018-20-Divide

Number and Algebra, NAP-I2-32

Matt had a bag of 44 lollipops.

He gave an equal number to each of the other 7 players in his water polo team.

Matt gave each team mate as many lollipops as possible and kept the rest for himself.

How many lollipops did Matt get?

`2`    `6`   `9` `37`
 
 
 
 
Show Answers Only

`text(2 lollipops)`

Show Worked Solution

`text(Lollipops given to each player)`

`=44-:7`

`=6\ text(remainder 2)`
 

`:.\ text(Matt gets the 2 lollipops left over.)`

Filed Under: Solving Problems - Multiply/Divide, Solving Problems - Multiply/Divide, Solving problems - Multiply/Divide Tagged With: Band 7, smc-3018-20-Divide, smc-3018-35-Remainder, smc-3085-20-Division, smc-922-20-Division

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