smc-710-30-2-digit calculations

Number and Algebra, NAP-B1-21

What is the difference between the most sick days and the least sick days?

`11`	`12`	`13`	`14`

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`13`

Show Worked Solution

`text{Most sick days (Bella) = 15}`

`text{Least sick days (Kim) = 2}`

`:.\ text(Difference)`	`= 15 – 2`
	`= 13`

Number and Algebra, NAP-C1-06

Jesse had these shells.

He kept 7 and gave the rest to James.

How many shells did Jesse give to James?

`5`	`6`	`7`	`12`

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`5`

Show Worked Solution

`text(Number of shells Jesse gave to James)`

`=12-7`

`=5`

Number and Algebra, NAP-D1-04

Chantelle showed this number on her calculator

She changed it so that it became this number.

What did Chantelle do to change 376 to 306?

	`text(added 7)`
	`text(subtracted 7)`
	`text(added 70)`
	`text(subtracted 70)`

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`text(subtracted 70)`

Show Worked Solution

`376 – 70 = 306`

`=>\ text(subtracted 70)`

Number and Algebra, NAP-E1-11

Miss Khan wrote this sentence on the board.

Which one of these matches Miss Khan's sentence?

	`63 - 25 = 38`
	`63 + 25 = 38`
	`38 + 63 = 25`
	`38 - 25 = 63`

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`63 – 25 = 38`

Show Worked Solution

`63 – 25 = 38`

Number and Algebra, NAP-G1-07

Milly walked 13 kilometres to get to town and then travelled 38 kilometres by bus.

How many kilometres did she travel altogether?

`25`	`41`	`45`	`51`

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`51`

Show Worked Solution

`text(Distance)`	`=13+38`
	`=51\ text(km)`

Number and Algebra, NAP-G1-05

Ian had some hoops. He created the images below and had 3 hoops left over.

How many hoops does Ian have in total?

`7`	`23`	`34`	`35`

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`23`

Show Worked Solution

`text(Four groups have 5 hoops each with 3 left over.)`

`:.\ text(Ian has 23 hoops.)`

Number and Algebra, NAP-H1-25 SA

An athletics club has 13 girls.

There are 6 more girls than boys.

How many people are in the club altogether?

Show Answers Only

`20`

Show Worked Solution

`text(Number of boys)`	`=13-6`
	`=7`

`text(Total people in club)`	`=13+7`
	`=20`

Number and Algebra, NAP-H1-18

Bindi is reading a book that has 74 pages.

She has 26 pages to go.

How many pages has Bindi read?

`48`	`52`	`58`	`100`

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`48\ text(pages)`

Show Worked Solution

`text(Pages read)`	`= 74 – 26`
	`= 54 – 6`
	`= 48`

Number and Algebra, NAP-I1-35 SA

Alvin and Curtly picked 47 apples from an apple tree.

Curtly picked 11 more apples than Alvin.

How many apples did Curtly pick?

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`29`

Show Worked Solution

`text(Strategy one:)`

`text(Try possible numbers,)`

`text(24 Curtly − 23 Alvin ⇒ 1 difference)`

`text(25 Curtly − 22 Alvin ⇒ 3 difference)`

`vdots`

`text(29 Curtly − 18 Alvin ⇒ 11 difference)`

`:.\ text(Curtly picked 29 apples.)`

`text{Strategy two (use of algebra):}`

`text(Let Alvin pick)\ \ x\ \ text(apples)`

`text(Curtly picks)\ \ x + 11\ \ text(apples)`

`x +x + 11`	`=47`
`2x`	`=36`
`x`	`=18`

`:.\ text(Curtly picks 18 + 11 = 29 apples)`

Number and Algebra, NAP-I1-13 SA

The scales below are evenly balanced.

What is the weight of the small cube?

grams

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`text(13 grams)`

Show Worked Solution

`text(S)text(ince the scales are evenly balanced,)`

`36`	`= 23 + text(weight of small cube)`

`:.\ text(Weight of small cube)`	`= 36 – 23`
	`= 13\ text(grams)`

Number and Algebra, NAP-H1-12

Rory played in a soccer team.

At training, 8 players were there but 4 could not make it.

How many players are in Rory's team?

`4`	`8`	`11`	`12`

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`12\ text(players)`

Show Worked Solution

`text(Players in Rory’s team)`	`=8+4`
	`=12`

Number and Algebra, NAP-E2-01

Kylie had 11 balloons. She gave 4 away to her friends and 2 burst.

How many balloons does Kylie have left?

`5`	`6`	`7`	`17`

Show Answers Only

`5`

Show Worked Solution

`11 – 4 – 2 = 5`