WorksheetsE.I.G.H.T. GRADE 6 CHRISTMAS TERM MATH ASSESSEMENT
Total questions: 500
Worksheet time: 28hrs 13mins
Empty set: A set that
Has no elements, such as A = {}
Has whole numbers
That I can use to draw
I have absolutely no idea
Which table represents the data in the graph?
80 sixth grade students picked their favorite elective. Which is closest to the total number of students that picked band and choir?
80
4
40
20
Data was collected on favorite veggies served at lunch. What can be said based on the graph provided?
Corn should be served at lunch
Tomatoes should be served at lunch
The cucumbers were rotten
Corn is more filling than tomatoes
If 200 people were surveyed, approximately how many people like pepperoni and cheese as their topping?
100 people
150 people
50 people
75%
The BMS basketball team scored 30 points each game for 4 games. How many points did Kendrick (purple) score in total?
20 points
24 points
600 points
6 points
What is 30% of 250?
0.12
75
0.0012
7,500
Which graph matches the table of values (not percents)?
Which circle graph best represents the same set of data as the bar graph?
Which bar graph matches the circle graph?
What fraction of votes did the hamster get?
6/10
3
6/20
30%
What fraction of cars were sold on Monday?
3/28
4
14%
4/28
What percentage of students like hockey? (purple)
5%
50%
2%
0.05%
What is the definition of diameter?
A straight line that goes from one point to another point and passes through the center
A straight line that goes from one point in the circle to the center
An infinite number that can be expressed as 3.14 or 22/7
A line that goes from one point to another.
Which of these elements do circles have?
points
Straight lines
Centers
Chords
Right angles
Find the circumference of a circle with a diameter of 6.1 cm.
19.164 cm
19.154 cm
18.34 cm
20.1545 cm
What is the circumference of a circle with a radius of 22 mm?
69.08 mm
132 mm
149.6 mm
138.16 mm
What is the radius of a circle with a circumference of 119.32 ft?
38 ft
27 ft
19 ft
18 ft
What is the circumference of a circle with a radius of 45 in?
282 in
282.6 in
283.6 in
280 in
Write the following in Exponential Form
4 x 4 x 4 x 4 x 4
45
54
1,024
Write the following in Exponential Form
5 x 5 x 5
53
35
125
122
92
How many bacteria is that?
32 = ?
Sarah says the answer is 9, and Jack says the answer is 6. Which student is correct?
Sarah, because 3 times 3 is 9.
Jack, because 3 times 2 is 6.
Neither of them are correct.
Both Jack and Sarah are correct. This problem could have 2 correct answers.
9 050 430
950 430
905 430
950 043
7 048 020
7 408 020
7 480 002
7 408 002
Which number is the same as 104?
10
100
1,000
10,000
Which number shows
(8 × 105) + (6 × 103) + (3 × 102) + (2 × 101) + ( 4 × 100 )in standard form?
86,324
8,603,204
806,324
860,324
What is 47,309 in exponential form?
(4 × 105) + (7 × 103) + (3 × 102) + ( 9 × 100 )
(4 × 104) + (7 × 103) + (3 × 102) + ( 9 × 100 )
(4 × 104) + (7 × 103) + (3 × 102) + ( 9 × 101 )
(4 × 103) + (7 × 102) + (3 × 101) + ( 9 × 100 )
What is 206,384 in exponential form?
(2 × 105) + (6 × 104) + (3 × 102) + (8 × 101) + ( 4 × 100 )
(2 × 106) + (6 × 103) + (3 × 102) + (8 × 101) + ( 4 × 100 )
(2 × 105) + (6 × 103) + (3 × 102) + (8 × 101) + ( 4 × 100 )
What is 520,806 in exponential form?
(5 × 105) + (2 × 103) + (8 × 103) + (6 × 101)
(5 × 106) + (2 × 105) + (8 × 103) + (6 × 100)
(5 × 106) + (2 × 104) + (8 × 103) + (6 × 101)
What is 34,067 in exponential form?
(3 × 105) + (4 × 103) + (6 × 103) + (7 × 100)
(3 × 104) + (4 × 103) + (6 × 102) + (7 × 101)
(3 × 104) + (4 × 103) + (6 × 102) + (7 × 100)
4) What is the standard form of 25 x 23 ?
625
2 560
256
7) What is the exponential form of 2 x 2 x 2 x 5 x 5 ?
23 x 52
22 x 25
32 x 25
Write the following in Exponential Form
5 x 5 x 5
53
35
125
35 : 14
Fully simplify the ratio...
20:30
2:3
4:6
10:15
3:2
Fully simplify the ratio...
18:24
3:4
9:12
2:3
3:2
Fully simplify the ratio...
32:40
16:20
8:10
4:5
10:8
Fully simplify the ratio...
200:400
2:4
10:20
1:2
20:40
Fully simplify the ratio...
96:48
12:6
4:2
2:1
6:3
For every $5 Carl spends on movies, he spends $15 on video games. Last month, she spent $60 on video games. How much did he spend on movies?
$50
$30
$20
$25
Cheese = 28g
Toppings = 42g
Cheese = 28g
Toppings = 40g
Cheese = 24g
Toppings = 42g
Cheese = 24g
Toppings = 40g
Convert 472 into an improper fraction.
713
730
715
None of the above
Convert 611 into a mixed number.
2 61
165
156
None of the above
What is an improper fraction?
A mix of whole numbers and fractions.
A fraction with the numerator greater than the denominator.
A fraction with the numerator less than the denominator.
Simplify 5/40 to lowest terms.
Convert this mixed number to an improper fraction.
524
510
530
534
36
38
32
312
107×43=
75
4021
23
21
Are the fractions equivalent?
Yes
No
Change this Improper Fraction to a Mixed Number.
5 1/3
4 2/3
6
5 2/3
16/20 =
Write the improper fraction as a mixed number
22/3
7 2/3
7 1/3
7 1/4
7 3/4
Write the improper fraction as a mixed number
36/4
9 1/4
9 3/4
8 4/4
9
Which symbol is correct for these two fractions?
>
<
=
Which symbol is correct for these two fractions?
>
<
=
Write the mixed number as an improper fraction
3 4/9
(a)
Write the mixed number as an improper fraction
5 6/7
(a)
Write the mixed number as an improper fraction
7 5/11
(a)
Write the mixed number as an improper fraction
4 5/8
(a)
2/4 - 3/8
4) Solve this equation
a - 2.1 = 5.8
a = 7.9
a = 3.7
a = 5.8
None of these match my answer
2) Please solve this equation
p/5 = 7
p = 35
p = 12
p = 2
None of these match my answer
10) Please solve this equation
m - 14 = 32
m = 18
m = 2 1/8
m = 424
None of these match my answer
13) Please solve this equation
23 = x + 7
x = 16
x = 30
x = 161
None of these match my answer
14) Please solve this equation
1.2x = 9.6
x = 8
x = 10.8
x = 8.4
None of these match my answer
2) Solve this equation
t - 7 = 2
t = 9
t = 7
t = 5
None of these match my answer
7) Please solve this equation
7x = 84
x = 77
x = 91
x = 588
None of these match my answer
9) Please solve this equation
Melanie and Julian have 50 dinosaurs in total. Julian has 21 dinosaurs. How many dinosaurs does Melanie have?
g = 29
g = 71
g = 1050
None of these match my answer
1) Solve this equation
c - 1 = 8
c = 9
c = 7
c = 8
None of these match my answer
6) Please solve this equation
m - 3 = 4
m = 7
m = 1
m = 13
None of these match my answer
4) Please solve this equation
c/9 = 8
c = 1
c = 17
c = 8/9
None of these match my answer
3) Please solve this equation
x - 12 = 13
x = 25
x = 1
x = 156
None of these match my answer
What is the mathematical meaning of "Simplify"?
To make the algebraic expression as simple as possible by grouping like-terms
To find the value of the unknown in the algebraic equation
To multiply the terms of the algebraic expressions
To express the algebraic expression in their factors
What is the mathematical meaning of "Expand"?
To make the algebraic expression as simple as possible by grouping like-terms
To find the value of the unknown in the algebraic equation
To multiply the terms of the algebraic expressions
To express the algebraic expression in their factors
What is the mathematical meaning of "Factorise"?
To make the algebraic expression as simple as possible by grouping like-terms
To find the value of the unknown in the algebraic equation
To multiply the terms of the algebraic expressions
To express the algebraic expression in their factors
What is the mathematical meaning of "Solve"?
To make the algebraic expression as simple as possible by grouping like-terms
To find the value of the unknown in the algebraic equation
To multiply the terms of the algebraic expressions
To express the algebraic expression in their factors
Factorise 18k+12 completely.
2(9k+6)
3(6k+4)
6(3k+2)
Expand (x−1)2 .
(x−1)(x−1)
(x−1)(x+1)
(x+1)(x+1)
Expand (x+2)2 .
(x−2)(x−2)
(x−2)(x+2)
(x+2)(x+2)
3p−1 is equivalent to
1−3p
−(1−3p)
−(3p−1)
5x−2 is equivalent to
−(5x−2)
−(5x+2)
−(2−5x)
−(2+5x)
Factorise x2−36 completely.
(x+6)(x+6)
(x−6)(x−6)
(x+6)(x−6)
Factorise x2−25 completely.
(x+5)(x+5)
(x−5)(x−5)
(x−5)(x+5)
7−x is equivalent to
−(x−7)
−(x+7)
−(7+x)
−(7−x)
Factorise 1−y2 completely.
(y−1)(y+1)
(1−y)(1−y)
(1−y)(1+y)
Factorise x2+3xy+2y2 .
(x+2)(x+1)
(x+2y)(x+y)
(x−2)(x−1)
(x−2y)(x−y)
What does it mean to simplify an algebraic fraction x−34−x+52 ?
It is to make them into a single fraction by finding their common denominator and making the numerator as simple as possible.
It is to cross-multiply and find the value of the unknown.
What is the first step that you should take to simplify an algebraic fraction 4x−103x−2x−58 ?
I will factorise the denominator in the first fraction 2(2x−5) first, before combining into a single fraction with the common deminator 2(2x−5)3x−8(2) .
I will combine the common denominator (4x−10)(2x−5) , i.e. (4x−10)(2x−5)3x(2x−5)−8(4x−10) .
This shows how many baseball cards a group of friends have in their collections. How many friends have baseball card collections with more than 70 cards?
7
8
9
4
This plot show how many point was scored on a video game. What is the difference between the greatest and least amount of point scored?
48
39
38
84
This plot show the ages of people at a birthday party. How many people at the party are 20 years of age or younger ?
7
6
8
5
This plot represent the number of cookies eaten at a county fair. That was the greatest amount of cookies eaten?
97
100
10
96
What are the stems for the data set?
{14, 24, 32, 26, 10, 56}
{0, 2, 4, 6}
{1, 2, 3, 5}
{1, 2, 3, 4, 5}
{0, 1, 2, 3, 5}
What are the Leafs for the data set?
{14, 24, 32, 26, 10, 56}
1, 2, 3, 4, 5
0, 1, 2, 3, 4, 5, 6
1, 2, 3, 4, 5, 6
None of the above
In a set of Data 14,8,16,10,12,15,10,13 What is the lower Quartile number Q1?
10
8
12
12.5
In a set of data 14,8,16,10,12,15,10,13 What is the upper quartile number (Q3) ?
14
14.5
15
16
Which interval has the greatest number of students?
This shows how many baseball cards a group of friends have in their collections. How many friends have baseball card collections with more than 70 cards?
7
8
9
4
Which data set matches with this stem-and-leaf plot?
41,52,57,58,65,66,70,75,78,78,78,80,80,95
41,52,56,58,66,70,75,78,78,78,80,80,95,56
41,53,57,58,65,66,70,75,78,78,78,78,80,80,
52,52,57.58,65,66,70,75,78,78,78,80,80,95
This plot show how many point were scored on a video game. What is the range of the points scored?
4.8
3.9
3.8
8.4
Looking at this plot. What is the mode?
47
76
92
98
This plot show the ages of people at a birthday party. How many people at the party are 20 years of age or younger ?
7
6
8
5
This plot represent the number of cookies eaten at a county fair. What was the greatest amount of cookies eaten?
97
100
10
96
What are the stems for the data set?
{14, 24, 32, 26, 10, 56}
{0, 2, 4, 6}
{1, 2, 3, 5}
{1, 2, 3, 4, 5}
{0, 1, 2, 3, 5}
Mrs. Ivey was making muffins. She made a total of 28 muffins. If she shared them on 4 plates, how many would be on each plate?
7
6
5
8
There were 28 bouncy balls in the bucket.
If they were shared among 7 friends, how many would each friend get?
4
5
3
2
Brittany bought three cups of coffee. Each cup cost 4 dollars. How much did she spend on coffee?
10 dollars
7 dollars
12 dollars
8 dollars
The Halloween party had 3 boxes of prizes to choose from.
Each box had 9 prizes.
How many prizes were there in all?
12 prizes
27 prizes
6 prizes
4 prizes
Joey had 18 pieces of candy to eat. If he was going to eat the same amount each day for three days, how much would he eat in one day?
12
6
8
10
Two loaves of pumpkin bread cost a total of 12 dollars. How much did each loaf cost?
3 dollars
4 dollars
5 dollars
6 dollars
NHS sold 80 tickets to Despicable me on Friday, Saturday, and Sunday. How many tickets were sold in all?
83 tickers
200 tickets
240 tickets
175 tickets
DIVIDED EQUALLY refers to what operation?
White t-shirts can be purchased in packages of 6. If Mom buys 8 packages, how many white t-shirts will she have?
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
WRITE AN EQUATION
Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
24-10=7x
24+7x=10
10+7x=24
10+x=14
Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?
Diego has 3 times as many comic books as Han.
How many comic books does Diego have if Han has 5 comic books?
15 comic books
35 comic books
3.5 comic books
Fill in the blank with the SAME word.
We often use a letter such as or as a placeholder for a number in expressions. These are called __________ (just like the letters we used in equations, previously). ____________make it possible to write expressions that represent a calculation even when we don't know all the numbers in the calculation.
equations
coefficients
variables
solutions
Select ALL the equations that describe each situation and then find the solution.
There are 2 answers.
Tyler's playlist has 36 songs. Noah’s playlist has one quarter as many songs as Tyler's playlist. How many songs are on Noah’s playlist?
w = 4 ⋅36
w=36÷4
4w = 36
4w=36
Diego finished 8 math problems on his test. This is 40% of the test. How many questions are on the test?
What equation would help us to solve this?
8% of 40 = x
40% of 8 = x
40% of x = 8
Expressions that are always equal for the same value of their variable are called ________________ expressions.
extravagant
equivalent
equally
exciting
What are these examples of?
equivalent expressions
variables in a variety of ways
coefficients
solutions
Andre says that x is 7 because he can move the two 1s with the x to the other side.
Do you agree with Andre?
Yes! I agree with Andre. Just move the 1s to the other side.
No! I disagree with Andre. If you remove the 1s from the side with the x, then you need to remove two 1s from the other side too.
Mai's waterbottle as 12 ounces in it. After she drinks some water, there was 2 ounces left in it. Select the two equations that represent this situation.
12÷2 = x
12 - 2 = x
x + 2 = 12
2x = 12
In the equation 2y + 7 = 19
What is the coefficient?
7
y
2
19
In the equation 2y + 7 = 19
What is the variable?
2
y
7
19
Instructions for a woodworking project says that the length of the wood made of pine should be 5 inches less than the wood made from walnut.
Which is longer? Pine or Walnut?
Pine
Walnut
both are the same
Do 4x and 9 + x have the same value when x = 3?
Yes, they are both the same. Both equal 7
Yes, they are the same. Both equal 12
No, they are not the same.
Diego is selling raffle tickets for $3 a piece. How many would he have to sell to make $39?
12 tickets
13 tickets
14 tickets
15 tickets
Claire is 7 years older than her cousin, Leslie.
How old is Claire when Leslie is 39?
Claire is 32 when Leslie is 39.
Claire is 46 when Leslie is 39.
Claire is 40 when Leslie is 39.
Fill in the blank with the same word in each blank.
An equation can be compared to a balanced hanger. We can change the equation, but for a ____ equation to remain ____, the same thing must be done to both sides of the equal sign. If we add or subtract the same number on each side, or multiply or divide each side by the same number, the new equation will still be ____.
socks
false
true
variable
Would you rather work your math problems out
1) using pencil and paper
2) white board and marker at your seat
3) white board and marker on the wall?
paper
white board at my seat
standing white board on the wall?
What is the probability of spinning an even number?
16 2/3%
33 1/3%
50%
75%
Which letter shows an even chance probability?
A
B
E
C
Which letter shows an unlikely probability?
A
E
B
C
Which letter shows a certain probability?
E
A
D
C
Which letter is point to 0.5?
A
B
C
D
Which letter is point to 1/6?
A
B
C
D
What is the probability of selecting a green counter?
1/10
3/10
1/5
2/5
What is the probability of selecting a blue counter?
1/10
3/10
2/5
1/5
What is the probability of selecting a black counter?
1/5
0
3/10
2/5
The diagram shows a spinner.
What is the probability of landing on red?
1/2
1/6
1/3
3/6
The diagram shows a spinner.
What is the probability of landing on blue?
1/2
1/4
1/6
5/6
A six sided dice is rolled once.
What is the probability of landing on a 6?
1/6
1/2
5/6
6
A six sided dice is rolled once.
What is the likelihood of landing on a 2?
Likely
Unlikely
Certain
Impossible
A spinner is spun 10 times, how many times would you expect to land on a 1?
2
5
1
10
Whats the probability of landing on a 7?
1/5
7
0
2/5
Whats the probability of landing on an even number?
1/5
3/5
1/2
2/5
There are 52 cards in a pack of playing cards.
What is the probability of getting a queen of hearts?
4/52
2/52
1/52
51/52
How likely are you to pick a red card?
Likely
Even chance
Unlikely
Certain
The probability of it raining tomorrow is 0.3.
What is the probability of if NOT raining?
0.7
0.3
1
70
Mike has a 20% chance to making it to the cinema on time. What is the probability he will NOT make in on time?
20%
8
80%
8%
When a coin is flipped, what is the probability of landing on a tails?
Even chance
50%
Unlikely
100%
There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is blue?
21
31
32
41
There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is red?
41.67%
50 %
8.33%
33.33%
There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is green?
41.67%
16.67 %
8.33%
33.33%
There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is black?
21
31
43
61
There are 4 blue marbles, 5 red marbles, 1 green marble and 2 black marbles in a box. Suppose you select one marble at random. What is the probability that the marble chosen is not green?
41.67%
91.67%
75%
8.33%
Sam rolled a number cube 50 times. A '3' appeared 10 times. Find the probability of getting '3'.
5010
5020
5040
5030
Sam rolled a number cube 50 times. A '3' appeared 10 times. Find the probability of getting numbers that are not '3'.
5010
5020
5040
5030
A coin is tossed 60 times. 27 times head appeared. Find the probability of getting heads.
55%
45%
0%
48%
A coin is tossed 60 times. 27 times head appeared. Find the probability of getting tail.
55%
45%
0%
48%
Christian Dayne drew a random set of cards from a well -shuffled deck of 52 playing cards. He recorded the suit of cards that he picked; results are shown in the table. Find the probability of selecting a spade?
3213
328
324
327
Christian Dayne drew a random set of cards from a well -shuffled deck of 52 playing cards. He recorded the suit of cards that he picked; results are shown in the table. Find the probability of selecting a diamond?
40.63%
25%
12.5%
21.88%
Christian Dayne drew a random set of cards from a well -shuffled deck of 52 playing cards. He recorded the suit of cards that he picked; results are shown in the table. Find the probability of selecting a red card?
3221
3211
3217
3215
{70, 70, 80, 85, 85, 90, 95, 95, 100, 100}
What is the mean of this set of data?
2, 15, 7
24
3
6
8
Find the mode:
3.8, 4.2, 4.0, 4.2, 4.2
4.2
3.8
4.0
4
What is the mean?
4, 5, 6, 7, 3, 4, 10, 1
7
4.5
5
8
What is the median for this list: 3, 9, 17, 11, 17, 3, 1
9
17 and 3
8.71
16
What is the mean for the dot plot?
35
30
70
85
1, 3, 4, 4, 5, 6, 7
1, 1, 3, 5, 5
1, 1, 3, 5, 5
1, 1, 1, 2, 5, 9
1, 1, 4, 5, 6, 6, 7, 8
1, 6, 8, 10, 14
(draw a line down the middle and both sides look the same)
(draw a line down the middle and both sides look the same)
(draw a line down the middle and both sides look the same)
What is the name of this shape?
Cuboid
Cube
Pyramid
Rectangle
What is the name of this shape?
Triangle
Triangular prism
Triangular based Pyramid
Tetrahedron
What is the name of this shape?
Pentagonal prism
Hexagonal prism
Rhomboid
Dodecahedron
How many vertices does this shape have?
3
4
5
6
How many edges does this shape have?
3
6
9
12
How many faces does this shape have?
2
3
4
5
What is the volume of a cuboid that measures 3cm x 4cm x 5cm
60 cm2
12 cm2
15 cm2
50 cm2
What is the mathematical name for this shape?
Cylinder
Tube
Spehere
Cone
How many vertices does this octahedron have?
5
6
7
8
How many edges does this shape have?
5
10
15
20
Circle
A closed, flat shape with straight sides is a __.
polygon
quadrilateral
geometric solid
circle
How many vertices?
4
2
3
1
How many sides?
3
2
4
1
What is the name of this quadrilateral
kite
Rectangle
parallelogram
trapezium
what are the properties of a rhombus? tick all that apply
All sides are equal
Opposite sides are Parallel
opposite angles are equal
1 pair of parallel sides
How many vertices does this shape have?
3
4
5
6
How many faces does this shape have?
3
4
5
6
How many faces does this shape have?
4
6
8
12
How many vertices does this shape have?
4
6
9
8
Which shape has 8 edges and 5 vertices?
Which shape has 7 faces?
How many edges does a cube have?
8
10
12
14
The name of this figure?
(a)
How many vertices does this shape have?
3
4
5
6
How many faces does this shape have?
3
4
5
6
How many faces does this shape have?
4
6
8
12
How many vertices does this shape have?
4
6
9
8
Which shape has 8 edges and 5 vertices?
Which shape has 7 faces?
How many edges does a cube have?
8
10
12
14
The name of this figure?
(a)
Which equation matches the description if x is the number of minutes and y is the total cost.
y = 1.20
y= 1.20x
x = 1.20
x = 1.20y
Tracy is saving each month for new tires for her car. She plans to save $60 each month. Which table shows the amount Tracey has saved over the last several months?
A
B
C
D
The result when two or more
numbers are added.
product
difference
sum
add
The parts of an expression that are added or
subtracted.
term
sum
variable
algebraic expression
The result when two or
more numbers are multiplied.
variable
difference
quotient
product
A number that is multiplied by
another number to get a product.
expression
factor
difference
constant
The result when one
number is divided by another.
product
quotient
variable
coefficient
The number that is
multiplied by the variable in an
algebraic expression.
equation
product
variable
coefficient
The result when one
number is subtracted from another
variable
sum
difference
factor
An expression that contains at least one
variable.
algebraic expression
coefficient
constant
equation
A mathematical sentence
that shows that two expressions are
equivalent.
difference
equation
constant
solution
A value or values that make an equation true.
solution
constant
product
term
A symbol used to represent a
quantity that can change.
variable
constant
term
solution
A value that does not change.
term
solution
variable
constant
A Variable is....
A Variable is....
an unknown number represented by a letter
The number in front of the letter
The term which never changes
The coefficient is
The term that never changes
The letter in the term
The number in front of the variable
The answer to the math problem
The constant is the
The number that does not change
The letter next to the number
The number next to the variable
The answer that never changes
When solving an equation, our goal is to:
add all the numbers together.
use a calculator.
isolate the variable to solve.
a mathematical sentence stating that two expressions are equal
term
equation
coefficient
variable
What is the difference between an expression and equation?
Expressions have an equal sign and equations do not have an equal sign
Expressions do not have an equal sign and equations do have an equal sign
There is not a difference
Expressions do not have variables and equations have variables
Solve for x in the equation below
x−9=15
23
6
9
24
Solve the following equation for n:
8+n=16
24
6
8
2
What property of equality is shown below?
25 + d = 36
25 + d - 25 = 36 - 25
division property of equality
subtraction property of equality
addition property of equality
multiplication property of equality
Solve
41+x=−127
−65
21
−21
65
Solve
−87−(−n)=−127
−247
103
247
7
The following table shows the results of a
survey in which 50 people were asked to name
their favorite sport.
Based on these results, how many people out of
1000 would you expect to pick tennis?
(a)
A grocery store sold a total of 300 snack
chips last week as follows: Potato Chips, 135;
Corn chips, 115; Cheese Puffs, 35; and
Pretzels, 15. The store’s owner plans to place
an order for 1,000 bags of the same kind of
chips for a holiday weekend rush. Based on last
week’s sales, how many bags of pretzels should
he order?
50
500
5
150
Tom solved 9 out of the 15 practice
questions for a test correctly. If the actual test is
35 questions, how many can Tom expect to
solve correctly?
18
21
23
1,000
An inspector at a calculator factory found 3
out of 100 calculators did not work properly. If
the factory produces an order of 5000
calculators, how many might be expected to not
work properly?
15
30
150
300
If 1 out of every 5 Americans ride to work
with a carpool, how many people out of 2,000
would be expected to carpool?
(a)
Suppose you spin the spinner 600 times.
Predict the number of times the spinner will
land on 500.
30
42
10,000
125
A survey of 800 residents in a town of
10,000 people were asked about their favorite
ice cream Favorite Flavor. The results are
summarized below.
Based on this survey, how many of the town’s
10,000 people would prefer Strawberry?
2,075
11,945
166
800
An envelope contains 10 colored cards. Jim reached in, pulled out a card, recorded the color, and put the card back. He did this 50 times. Here are his results. Based on these results, what is the best prediction as to the number of green cards in the envelope?
(a)
You toss a coin 50 times. You get “heads”
20 times. What is the experimental probability
that the next time you toss the coin, it will give
you “heads’?
1/20
1/2
2/5
1/5
The graph shows results of a survey of 120
cat owners to determine which brand of cat
food their cats liked best. Use the graph to
answer the question below.
If a store sells 5000 cans of cat food, how
many would you expect to be Brand C?
125
30
300
1,250
5,600➗7 = 90
True
False
7
70
700
21,000 ÷ 300 =
7
70
700
180 ÷ 60 =
3
30
300
560 ÷ 70 =
8
80
800
5,600 ÷ 70 =
8
80
800
32,000 ÷ 80 =
4
40
400
240 ÷ 60 =
4
40
400
18,000➗90 = 200
True
False
2,000÷20
10
100
1,000
1
8,100÷90
9
90
900
9,000
25,000 ÷50 =
5
50
500
48,000➗80 =
600
60
6
6,000
240÷10
24
240
2,400
24,000
2,000➗50=
4
400
.4
40
45,000 ÷ 500 =
9
90
900
5,500➗50 =
110
500
50
11
810➗90=
99
90
9
900
49,000➗70 =
7
700
7.7
70
6,000➗60= 100
True
False
24
30
90
18
40
45
85
15
3
91
9%
9
12
36
18
24
36
9
18
27
8
16
24
1
12
90
30
60
16
20
40
10
240
180
144
60
≈184
≈244
≈234
≈250
410
232
226
332
_________________ Reasoning makes predictions based on patterns and observations.
Inductive
Deductive
___________________ Reasoning makes proofs based on facts and evidence
Deductive
Inductive
A, D, G, J, _____
What does deductive reasoning use to form its arguments?
patterns
specific cases
observed examples
facts, definitions, accepted properties, and laws of logic
Use the chart to determine the next number in the pattern.
68
59
61
62
Find the rule the pattern is using.
729 , 243 , 81 , 27 , 9
multiply by 3
subtract 486
divide by 3
add -486
Which figure is next in the sequence?
D
A
C
E
Is Inductive or Deductive reasoning used in this situation?
The catalog states that all incoming freshman must take the math placement exam.
You are an entering freshman.
Therefore you must take the math placement exam.
Inductive
Deductive
In the past, winter has always been cold in Loei. Therefore, winter will be cold again this year.
Deductive
Inductive
The Giants have lost their last seven games. Thus, they will probably lose their next game.
Inductive Reasoning
Deductive Reasoning
In preparation for her ice cream party, Emily surveyed 35 students at Pioneer Middle School about their favorite ice cream flavor. She found out that 7 of them like vanilla. If 210 students are expected to attend the ice cream party, predict how many will prefer vanilla?
42
30
75
45
What is the 2D cross section of this image when cut horizontally?
Dome
Ellipse
Circle
Rectangle
What is the 2D cross section of this image when cut vertically?
Rectangle
Circle
Oval
Square
What is the 2D cross section of this image when cut vertically?
Rectangle
Trapezoid
Square
Triangle
What is the 2D cross section of this image when cut vertically?
Circle
Trapezoid
Rectangle
Square
When this triangular prism is cut horizontally, what is the resulting 2D cross section shape?
Triangle
Rectangle
Square
Pyramid
When this triangular prism is cut vertically, what is the resulting 2D cross section shape?
Rectangle
Square
Triangle
Pyramid
What is the 2D cross section?
Cube
Square
Triangle
Rectangle
What is the 2D cross section of this triangular pyramid?
Trapezoid
Triangle
Rectangle
Square
What is the 2D cross section of this image when cut diagonally?
Square
Rectangle
Circle
Oval
What is the 2D cross section of this cone?
Circle
Semi-Circle
Triangle
Oval
What is the name of this shape?
Pentagon
Hexagon
Octagon
Decagon
What is the name of this shape?
Pentagon
Hexagon
Octagon
Decagon
What is the name of this shape?
Parallelogram
Rhombus
Diamond
Kite
How many sides does a hexagon Have?
6
7
8
9
How many lines of symmetry does this shape have?
1
2
3
4
How many lines of symmetry does this shape have?
1
2
3
4
How many lines of symmetry does this shape have?
2
3
4
6
How many lines of symmetry does a parallelogram have?
0
1
2
4
Which shapes does not have parallel lines?
Parallelogram
Square
Regular Octagon
Regular Pentagon
This shape has rotational symmetry of order...
0
1
5
10
This shape has rotational symmetry of order...
0
1
2
3
This shape has rotational symmetry of order...
1
2
3
4
Which quadrilateral does not have 2 pairs of parallel sides?
rectangle
trapezoid
rhombus
parallelogram
Which quadrilaterals always have 4 equal angles? Choose TWO answers.
rhombus
rectangle
trapezoid
square
Which quadrilaterals always have 4 equal sides? Choose TWO answers.
rhombus
rectangle
trapezoid
square
Which shape has 3 sides and 3 angles?
triagle
square
rectangel
Which triangle has 3 equal sides and angles?
scalene triangle
right-angled scalene triangle
Equilateral triangle
What is the name of this shape?
Rectangle
Square
Parallelogram
Rhombus
How many equal sides does a trapezium have?
2
3
4
0
What is the name of this shape?
Pentagon
Hexagon
Octagon
Rhombus
What is the name of this shape?
Cylinder
Sphere
Triangular pyramid
Cone
What is the name of this shape?
Square pyramid
Triangular prism
Triangular pyramid
Rectangular prism
What is the name of this shape?
Pentagonal prism
Hexagonal pyramid
Hexagonal prism
Pentagonal pyramid
What is the name of this shape?
Triangular prism
Triangular pyramid
How many edges does this shape have?
0
1 straight edge
1 curved edge
1 curved edge and 2 straight edges
What shape does this net make?
Triangular prism
Triangular pyramid
Rectangular prism
Square pyramid
What shape does this net make?
Pentagonal pyramid
Pentagonal prism
Hexagonal pyramid
Hexagonal prism
What shape does this net make?
Square pyramid
Triangular pyramid
Triangular prism
Convert 65 hour to minutes
30
45
50
55
Convert 283 days to hours
57
60
59
55
