Orphan questions 2

Evaluate the expression.

1 – 1 2 ÷ 4 5

Divide.

1

6

÷

2

9

=

Add.

1

5

+

1

5

=

Which sign makes the statement true?

<
=
>

Evaluate the expression for d = ^–2.

2d =

Which of the following are rational number?

What is square root of -144?

In 19, what digit is in the tens place?

1
9

Which place-value model shows 1,815?

Copy the pattern.

How many rectangles are there?

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

The first picture is a barn. Which picture is fifth?

, ,

a
a

1 2 3 4

– ²

What row comes next in the pattern?

Use the shapes to continue the pattern.

Look at this shape:

Select all the shapes that are congruent to this one.

0
0
0
0

What row comes next in the pattern?

What shape is this?

yes
no

Complete the table.

y=5x²

x y

Evaluate.

Solve for g.
(g + 1)(g − 6) = 0

Write your answers as integers or as proper or improper fractions in simplest form.

g = or g =

Simplify.

4²^/3. 1²^/3

Simplify.

1^1/2. 1^1/2

square units

What decimal number is illustrated?

0,35
0,47
0,53
0,25

Factorise.

Are there more blue dots or purple dots?

‘
=

Factorise out the highest common factor. If the highest common factor is 1, just retype the polynomial.

Andrew loves playing board games. He would like to design games as a job someday. Andrew has decided to make his own board game. His game uses a round spinner. Andrew divides the spinner into 4 equal spaces.

Which fraction model represents one space of the spinner?

00
00

If the number of bacteria in a colony doubles every 140 minutes and there is currently a population of 1 000 bacteria, what will the population be 420 minutes from now?

bacteria

f(2) =

f( ) =

1
1
1
1
all real numbers

Find the absolute value.

If 8 × 7 = 56, then…

1
1
1
1

Product Property
Quotient Property
Power Property

yes
no

Which property of addition is shown?

associative
commutative
identity

remainder
quotient
addend
dividend

Fill in the missing number.

4 − = 1

yes
no

x = or x =

⁵

/

Find the complex conjugate of the given number.

1 plus 1 makes 2.

Write this as an addition number sentence (using + and =).

Multiply:

R

units

Which sign makes the statement true?

>
<
=

Yes
No

Expand the logarithm. Assume all expressions exist and are well-defined.

Write your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable.

log 11/z y

6 students want pancakes and 40 students want waffles. What is the ratio of the number of students who want pancakes to the number of students who want waffles?

and have a quotient of 4.

Eve baked 5 raspberry pies and 3 peach pies. Each raspberry pie has 15 slices and each peach pie has 14 slices. How many slices of pie did Eve bake in all?

117
17
18

Carey was collecting coins. She got 20 coins from her piggy bank and 8 coins from her brother. Her father gave Carey 6 coins. Carey gave 6 of the coins to her friend Joe. How many coins did Carey have left?

coins

Select all the squares.

Which number makes the equation true?

+ 113 = 268 + 569

Complete the multiplication number sentence.

8/9= 1/9

Is the number sentence true or false?

true
false

A farmer started the day with 6 7/12 buckets of seeds. After spending the morning sowing seeds, she now has 1 1/12 buckets left. How many buckets of seeds did the farmer sow?

buckets

Add.

2/9+5/9=

Divide:

12 ÷ 12 =

Estimate the product. Round the first factor to the nearest thousand, and then multiply.

2,291 × 3

The product is approximately

Put these fractions in order from smallest to largest.

1/5
1/2
1/10

How much is this coin worth?

c

( , )

Which number is largest?

, , ,

The sides of a triangle have lengths 4, 5, and 7. What kind of triangle is it?

On which day did the grocery store sell the fewest bananas?

Monday
Tuesday
Sunday
Wednesday
Thursday
Friday

use ^ for square e.g x^2 or a(x-h)^2

g(x)=

How many solutions do the simultaneous equations below have?

No solution
One solution
Infinitely many solution

Complete the pattern

Complete the Pattern,

8+ =9

80+ =90

800+ =900

8000+ =9000

square meters

Find the missing number so that the equation has no solution.

–

4x–2= x–8

r=

Subtract

6 , 3 8 7

– , 1 3 1

,

, , ,

Evaluate the expression.

4 + 0.6 ÷ 0.3

Divide.

4

5

÷

8

9

=

Subtract.

3

10

−

9

10

=

Evaluate the expression for g = 18.

g − 18 =

Which of the following is an irrational number?

<img src="https://educaptive.com/wp-content/uploads/2019/12/img_5e01c4eb681dd.png" alt="" />
<img src="https://educaptive.com/wp-content/uploads/2019/12/img_5e01c4ffbdbab.png" alt="" />
<img src="https://educaptive.com/wp-content/uploads/2019/12/img_5e01c4ffbdbab.png" alt="" />

Is 11 a prime number or a composite number?

prime number
composite number

What is ±16?

What is $\pm \sqrt{64}$ ?

Write

^–3

4

as a decimal number.

10 =

Is 17 a prime number or a composite number?

Composite
Prime

In 82,514, in which place is the 2?

1
9

How many presents are there?

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

The first picture is a bear. Which picture is eighth?

, ,

What is at the bottom?

a
a
a

Expand the logarithm. Assume all expressions exist and are well-defined. Write your answer as a sum or difference of base-2 logarithms or multiples of base-2 logarithms. The inside of each logarithm must be a distinct constant or variable.

log ₂ + log ₂

² + +

Fill in the missing number:

0 , 3

+ ,

0 , 7

	0	,	3
+		,
	0	,	7

What row comes next in the pattern?

Use the shapes to continue the pattern.

What shape is this?

yes
no

Evaluate.

1
1
1
1
all real numbers

Simplify.

4²^/3. 1²^/3

Simplify.

1^1/2. 1^1/2

Type the missing number in this sequence:

How do you make 2?

a
a
a
a

R

David’s favourite candy bar is Crazy for Caramel. He’s super excited because it now comes in an extra-long size! David runs to the store and buys a bar. He breaks the candy bar into 2 equal pieces because it is too big to eat all at once.

Which fraction model represents one piece of the candy bar?

00
00

If the number of bacteria in a colony doubles every 280 minutes and there is currently a population of 3 000 bacteria, what will the population be 560 minutes from now?

bacteria

If the number of bacteria in a colony doubles every 40 minutes and there is currently a population of 1 000 000 bacteria, what will the population be 120 minutes from now?

u=

x =

f(00) =

If 8 × 7 = 56, then…

Product Property
Quotient Property
Power Property

Find the rule and complete the table.

In Out

7 0

2

11

12 5

16 9

17 10

In	Out
7	0
	2
11
12	5
16	9
17	10

Multiply.

<
>
=

²

1 plus 1 makes 2.

Write this as an addition number sentence (using + and =).

Convert:

What time is it?

5:00 A.M.
5:00 P.M.

Write an expression for the sum of 275 and t.

275+t

A ruler costs 6 rand and 65 cents. Do you have enough money to buy it?

yes
no

Yes
No

Expand the logarithm. Assume all expressions exist and are well-defined.

Write your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable.

log 7/t u

There are 2 gold coins and 38 silver coins in Darell’s coin collection. What is the ratio of the number of silver coins to the number of gold coins?

There are 22 bicycles and 3 cars in the garage at Shereen’s flat building. How many wheels are there in the garage?

wheels

Estimate. Which sign makes the statement true?

>
<
=

1/2 =7/2

Estimate the difference. Round each number to the nearest whole number, then subtract.

The difference is approximately

true
false

What row comes next in the pattern?

Type the number on the shapes to continue the pattern in empty boxes below.

What is 30 + 1?

Put these fractions in order from smallest to largest.

1/2
1/8
1/4

Put these fractions in order from smallest to largest.

3/9
2/9
1/9

How much is this coin worth?

c

Which place-value model shows 445?q1

a

What shape comes next?

a
a

Which number is largest?

tuesday
sasturday
monday
friday

EFGH~ △

Complete the pattern

-3=2

-30=20

-300=200

-3,000=2,000

Add.

jars

How many Saturdays are there in February?

30
3
4
5
6

YES
NO

A receptionist named Kristen spends 2 minutes routeing each incoming phone call. Write an equation that shows the relationship between the phone calls routed x and the minutes on the phone y.

Write your answer as an equation with y first, followed by an equals sign.

Who practised piano earlier?

Anthony
Susan

Subtract

8 , 7 5 9

+ 5 0 , 4 7 0

,

kilograms

(6)

What is the domain of this function?

(9, 9)
(19, ^–6)
(^–4, 9)

, ,

Solve:

Evaluate the expression.

1 2 – 1 4 + 3 4

Divide.

3

4

÷

6

7

=

Subtract.

2

5

−

4

5

=

Add.

9

10

+

3

10

=

Evaluate the expression for b = ^–2.

b − 4 =

Which of the following are rational numbers?

Is 7 a prime number or a composite number

What is the positive square root of 64?

What are the positive and negative square roots of 49?

Which group shows the same amount?

In 82,514, in which place is the 2?

tens
thousands
ten thousands
units

Which inequality does this number line show?

greater than or equal to 2
greater than or equal to 8
greater than or equal to 5
greater than or equal to 4

Is 93 even or odd?

Even
odd

How many dots are there?

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

The first picture is a house. Which picture is tenth?

, ,

What is in the middle?

a
a
a

Solve. Write your answer as an integer or a fraction in simplest form.

=

Toby’s class took a field trip to the science museum. They left school at 9:30 A.M. It took them 30 minutes to drive to the museum. They stayed at the museum for 3 hours and it took them 30 minutes to drive back to the school. What time was it when Toby’s class got back to school?

Include A.M. or P.M. in your answer (for example, 11:58 A.M.).

Solve using the quadratic formula.

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

g = or g =

1
1
1
1
all real numbers

Simplify.

4²^/3. 1²^/3

Simplify.

1^1/2. 1^1/2

Write your answer as a list of values separated by commas.

x =

Are there more blue dots or purple dots?

Laura’s family is moving, so she needs to pack the dishes. Dishes break easily so she must wrap them up. She cuts a sheet of bubble wrap into 3 equal pieces.

Which fraction model represents one piece of the sheet of bubble wrap?

How much of a radioactive kind of actinium will be left after 20 days if you start with 720 grams and the half-life is 10 days?

grams

x =

f(00) =

Multiply.

249 × 5 =

<
>
=

There were 13 fans at Desmond’s basketball game. The home team had 7 more fans than the visiting team. How many fans did the visiting team have?

fans

Which shape has an area of 5 square units? The shapes are made of unit squares.

Is this a polygon?

yes
no

What time is it?

3:00 A.M.
3:00 P.M.

Write an expression for the sum of 275 and t.

275+t

A whistle costs 6 rand and 69 cents. Do you have enough money to buy it?

yes
no

Yes
No

Expand the logarithm. Assume all expressions exist and are well-defined.

Write your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable.

log w/11 x

Estimate the product. Round the second factor to the nearest ten, and then multiply.

58 × 3

The product is approximately

A car factory made 41 cars with a sunroof and 8 cars without a sunroof. What is the ratio of the number of cars without a sunroof to the number of cars with a sunroof

and have a quotient of 6.

For a school fundraiser, Ruth needs to sell 57 boxes of biscuits. So far, she has sold 7 boxes of lemon biscuits to her aunt, 2 boxes of chocolate biscuits to her mother, and 10 boxes of oatmeal biscuits to a neighbour. How many more boxes of biscuits does Ruth need to sell?

boxes of biscuits

Estimate the sum by rounding each number to the nearest hundred and then adding.

742 + 742

The sum is approximately

Molly has 74 trees to plant. She wants to put the same number of trees in each row with no extra trees. How many rows could Molly make?

Estimate. Which sign makes the statement true?

>
<
=

Kathleen bought 4 large marbles and 20 bags of small marbles. How many marbles did Kathleen buy in all?

93
84
85
There is not enough information to solve this problem.

How many solutions do the simultaneous equations below have?

No solution
One solution
Infinitely many solution

What is on the left?

hours

f(x) = x

units

, ,

(4)

Evaluate the expression.

1 4 × 1 2 + 3 4

Divide.

1

8

÷

1

2

=

Subtract.

1

10

−

1

2

=

Evaluate the expression for k = ^–4.

^–4k + 2 =

What is±64?

Which group shows the same amount?

In 82,514, in which place is the 2?

tens
thousands
ten thousands
units

Which of the following numbers are even?

80
44
71
47

Which place-value model shows 1,835?

<img src="https://educaptive.com/wp-content/uploads/2019/11/img_5dd27cf554afe.png" alt="" />
<img src="https://educaptive.com/wp-content/uploads/2019/11/img_5dd27ce64208e.png" alt="" />

How many dots are there?

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

1, 2, 4, , 16

Select the two shapes that have the same area. The shapes are made of unit squares.

a
a
a

Archie is going on a 3-kilometre hike with his friends. Archie hikes for 1 kilometre before taking a break.

Which model represents the fraction of the hike that Archie completes before taking his break?

What row comes next in the pattern?

Simplify.

1^1/2. 1^1/2

Ford wants his room to be more colorful. So, he is painting one of the walls. He divides the wall into 2 equal parts.

Which fraction model represents one part of the wall?

If the number of bacteria in a colony doubles every 40 minutes and there is currently a population of 1 000 000 bacteria, what will the population be 120 minutes from now?

bacteria

2
1
4
There is not enough information to solve this problem.

Write an expression for 77 subtracted from y.

A whistle costs 6 rand and 69 cents. Do you have enough money to buy it?

yes
no

Yes
No

Expand the logarithm. Assume all expressions exist and are well-defined.

Write your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable.

log v/19 u