WorksheetsGrade 6 - PRACTICAL TEST
Total questions: 215
Worksheet time: 11hrs 58mins
What is a positive integer?
A positive integer is a whole number greater than zero.
A positive integer is a decimal number.
A positive integer is any number including zero.
A positive integer is a negative number.
What is a negative integer?
A negative integer is a fraction less than zero.
A negative integer is a positive whole number.
A negative integer is a whole number less than zero.
A negative integer is any number greater than zero.
What is the result of adding -5 and 3?
-2
1
-8
-3
What is the result of adding 7 and -2?
5
3
9
-5
What is the result of subtracting -4 from 6?
10
-10
2
0
What is the result of subtracting 5 from -3?
-8
2
-3
0
What is the product of -3 and 4?
0
-7
-12
12
What is the product of -2 and -6?
12
-8
6
-12
What is the quotient of 12 divided by -3?
4
-3
0
-4
What is the quotient of -15 divided by 5?
-3
3
-5
0
How would you represent a loss of 15 points in a game?
+15
-10
-15
0
If a submarine is 200 meters below sea level, what is its depth represented as a signed number?
0
200
-200
-150
What is the result of adding 0 to -7?
-7
-8
-6
0
What is 5 + (-3)?
2
-2
1
3
Calculate -7 + 4.
-2
-3
1
-4
If you have -2 apples and you gain 5, how many do you have?
-7
3
5
2
Using a number line, what is the result of 3 + (-5)?
1
-3
0
-2
If the temperature is -10 degrees and it rises by 7 degrees, what is the new temperature?
-5 degrees
-3 degrees
0 degrees
-2 degrees
What is the result of -8 + (-2)?
-12
-8
-10
-6
Identify the pattern: What do you get when you add a negative number to a positive number?
The result is always zero.
The result is always a positive number.
The result can be a smaller positive number, zero, or a negative number.
You cannot add a negative number to a positive number.
Using a number line, what is the result of -4 - 2?
0
-6
-2
-4
x + 2x + 6y + y
3x + 6y
3x + 6x + y
3x + 7y
7ab + b + b + 3b + 2ab
9ab + 5b
7ab + 7b
9ab + 2b + 3b
4x2 + x2 + y2 - 3x2 + 5y2
8x2 + 6y2
2x2 + 6y2
14x2y2
c + d - 5c + 7d - 3d
4c + 5d
-4c + 5d
6c + 11d
4z - yz + z + 6yz - z
5z + 5yz
4z - 5yz
4z + 5yz
2c + 3d - 5c + c + d + 4d
3c - 5c + 8d
-2c + 8d
8d + 2c
3g + 6gh + h - 2g + 4h
7gh + 5h
g + 6gh + 5h
g + 4h
u + 7 at u = 9
16
17
19
15
d/7 at d = 7
1
2
8
7
4w at w = 7
11
28
13
-4
r – 5 at m = 18
13
23
18
15
q/2 – 5 at q = 12
1
2
3
4
xy – 5 at x = 5, y = 2
5
7
10
12
r + s2 at r = 4, s = 1
5
17
15
7
2gh at g = 3, h = 4
24
9
12
5
3a−b at a = 9, b = 6
1
3
9
6
dc2 at c = 6, d =3
12
6
9
16
What is the missing shape?
Circle
Triangle
Square
Pentagon
5 x M= 20
M = ?
3
4
5
6
If (R) boys have 25 dollars less than the girls, who have 76 dollars, how much is R worth?
50
51
52
53
What is the missing shape?
N + 6= 12
What is N?
4
5
6
7
How many squares would be in the next shape?
15
16
17
18
R x 4 = 16
R = ?
3
4
5
6
What is the next number in this sequence?
3, 6, 9, ...
12
6
8
11
4 + N = 8
What is N?
2
3
4
5
what is the mean
middle number
Most seen number
Average
Difference between the largest number and smallest number
What is the median?
Middle number
Most frequently seen number
The average
The difference between the largest number and smallest number
What is mode?
The middle number
Most frequently seen number
The average
The difference between the largest number and smallest.
How do you find the mean?
Put the numbers in order from least to greatest and find middle number
Add the numbers and divide by the number of numbers
Put numbers in order from least to greatest, then find the most seen number
Subtract the largest number from the smallest number.
How do you find the median?
Put the number in order from least to greatest, then find the middle number
Put the numbers in order from least to greatest and find the most seen number
Subtract the largest number from the smallest number
Add up all the numbers then divide by the number of numbers.
FInd the mean
4, 6,2, 3,5
2
5
4
3
FInd the mode
4, 2, 6, 4, 8, 1,3
3
4
8
3
What is the median
12, 10, 8, 5, 12
6
8.5
10
12
Find the range
25, 10, 12, 26, 4
22
12
10
4
What is the median:
2, 4, 6, 8, 8, 10
7
8
6 & 8
2
Imagine that a family of three (Adam, Brazil, and Claudia) plays bingo every night. Each night, the chance that any one of the players will win is 31 . Based on the tree diagram, what is the probability that Claudia wins at least one of the two nights?
95
94
21
31
83
W's on the tree diagram represent winning and L's represent losing over the course of two days. What is the probability that someone would win on both Monday and Tuesday?
25%
0.22
81
0.5
15%
A family randomly decides whether to play a board (B) or card (C) game on Monday and Tuesday. What is the probability that the family will play a board game at least one of the two days?
0.75
7.5%
41
25%
61
Kenyon is playing a game in which he has to choose one of three numbers (3, 4, or 7) and then one of five vowels (a, e, i, o, or u). Which tree diagram could be used to correctly represent all possible outcomes?
A bakery sells white, rye, multi-grain, and oat bread. Each type of bread is available as a round loaf or as dinner rolls. What number describes the types of baked bread available at the bakery?
(a)
A new car can be purchased with a choice of two exterior colors (L and M) and five interior colors (1, 2, 3, 4, and 5). Which answer choice represents an organized list of all the possible color combinations of the car?
(L, 1), (M, 2)
(L, 1), (L, 2), (L, 3), (L, 4), (L, 5), (M, 1), (M, 2), (M, 3), (M, 4), (M, 5)
(L, 1), (L, 2), (L, 3), (L, 4), (L, 5), (L, 1), (L, 2), (L, 3), (L, 4), (L, 5)
(L, M), (1, 2), (1, 3), (1, 4), (1, 5)
Two friends at a restaurant each order a fruit drink. The available flavors are orange (O), peach (P), or kiwi (K). Which list represents the sample space?
Plastic souvenir cups come in two different sizes: small (S) and large (L). The available colors are purple (P), blue (B), and green (G). Which list represents all the possible combinations of the different cups based on size and color?
(S, P), (S, B), (S, G), (S, P), (S, B), (S, G), (S, P), (S, B), (S, G)
(S, L), (P, B), (P, G), (B, G)
(S, P), (S, B), (S, G), (L, P), (L, B), (L, G)
(S, R), (L, W)
Dennia's older sister needs to take either Physics, Algebra, or Chemistry this year. She can take the class during any one of six periods (1 through 6). What are the total number of possible schedules?
(a)
What is the sample space when rolling two dice?
(a)
What is the probability of taking a marble out of the bag without looking and getting a red?
3
3/10
1/3
10
P(red) =
2
2/12
1/6
12
Name the image
Line segment
Line
Point
Ray
A line is named using...
2 points on the line, or a lowercase cursive letter.
3 points on the line.
1 point on the line.
3 points on the line, or a uppercase cursive letter.
What are the two ways you could name this line?
A or B
AB or BA
AB or B
BA or A
What is the name of this ray?
AB
BA
ABC
AC
What is the ratio of Red beads to Yellow beads?
(please don't use unecessary spaces in typing your answer)
(a)
Check the statement(s) which is/are true about the given figure.
For every red cube there are 8 blue cubes
For every 4 blue cubes there is 1 red cube
For every 3 red cubes there would be 12 blue cubes
For every 16 cubes, 4 would be red and 12 would be blue
For every 20 cubes, 4 would be red and 16 would be blue
Simplily the ratio:
3 hours to 45 mins
(a)
What is the ratio of Blue dots to Yellow dots?
(a)
What is the space ratio of the smaller cube to the stacked cubes?
1:4
1:6
1:8
1:12
Check the statement(s) which is/are true about the given figure.
There are two yellow tins for every three red tins.
There are two red tins for every three yellow tins.
The ratio of red tins to yellow tins is 2 ∶ 3
• The ratio of yellow tins to red tins is 2 ∶ 3
A farmer plants some crops in a field. For every 4 carrots he plants 2 leeks. He plants 48 carrots in total. How many leeks did he plant? How many vegetables did he plant in total?
(a)
Given are two equilateral triangles. The blue triangle is three times larger than the green triangle. What is the perimeter of the green triangle?
(a)
Check the statement(s) which is/are true about the given figure.
The first two rectangles are proportional
All the given rectangles are proportional
The Green and the Red rectangles are proportional
The Yellow and Red rectangles are NOT proportional
The perimeters and sides of the Green and Yellow rectangles are proportional
What is the ratio of the volume of the two solids?
1:9
1:15
1:26
1:27
17/5 can be written as a decimal.
What is the greatest common factor of 15 and 36?
6
8
4
3
Fill in the missing multiple. 3: 3, 6, 9, ___, 15, 18, 21
10
11
12
13
What is the LCM of 3 and 18?
18
24
36
15
Evaluate the expression. Give your answer as a mixed number in simplest form.
11/12 + 5/6
7/4
21/12
1 9/12
1 3/4
Evaluate the expression. Give your answer in simplest form.
7/12-5/12
1
1/6
2/12
10/12
2/0
Evaluate the expression and give your answer in simplest form.
1/5
1/1
5/30
0
Compute. Give your answer in simplest form.
3/16
3/4
6/32
7/8
Compute.
4/27
2/7
1 1/3
8/54
Compute.
8/9
2
1
1/2
2/15
2/0
1/2
0/-2
Tony drank 11/4 bottles of water during a soccer game. Which choice shows this expressed as a mixed number?
3 1/4
2 3/4
2 1/2
2 1/4
Evaluate the expression. Give your answer as a mixed number in simplest form.
1 ¾ + 2 ½ =
4 ¼
3 ¼
3 ¾
4 ¾
Evaluate the expression. Give your answer as a mixed number in simplest form.
12 ⅜ - 9 ⅝ =
2 ¾
3 ¾
2 ⅜
3 ¼
What is the sum of these fractions in simplest form?
4 2/5
2
1 7/15
2/5
What is the difference of these fractions in simplest form?
7/9
1/5
12/20
1/20
What is the product of these numbers in simplest form?
20/50
10/25
2/5
9/15
Convert to a mixed number.
7/4
1 3/4
1 1/4
1 4/3
1 1/7
Convert to a mixed number.
16/3=
4 1/16
5 1/3
3 1/3
2 3/16
Convert to a mixed number.
27/5=
5
4
3 1/5
5 2/5
0.87 + 6.12
6.99
10.25
6.989
9.66
1.09 + 0.65
7.44
6.52
1.74
17.4
5.8 + 4.289
9.284
10.089
21.55
8.752
20 + 5.89
205.89
20.598
25.958
25.89
43.68 - 40.67
3.01
3.1
30.1
3.11
15 - 2.75
13.75
12.75
12.25
11.25
9 - 5.2
4.2
2.4
3.8
38
20.1 - 16.37
3.7
3.73
4.72
4.27
25×12
250
300
325
350
125 ×7
700
875
825
850
1.2 ×2.1
252
25.2
2.52
0.252
2.3 × 1.21
0.2783
2.783
27.83
278.3
16.25 × 1.3
21.125
211.25
2112.5
21125
324÷9
28
30
36
34
894÷6
149
148
147
146
20.72 ÷ 8
0.259
2.59
0.625
6.2
378.3 ÷ 3
126
126.1
162.1
162
The area of a square must be 64 if it has a side length of 8.
Identify if the missing quantity is rate, base, percentage.
2 is what percent of 12?
rate
base
percentage
6 is 25 % of 24
6 is 25 % of 24
30 is 50% of 60.
0.5 % of 2000 is 10.
60 is 20% of 300.
20 % of 15 is 3
What percent of an hour is 30 minutes?
5%
25%
50%
75%
5. There are 40 students in the class 95% of them are present. There are 38 pupils attended their class. Which is the base?
95%
40
38
During a typhoon, only 25 families were able to evacuate earlier. If they represent 40% of the total number of families living in the affected area, how many families live in the area?
60.5
62.5
64.5
1. How long will it take you to drive 50 kilometers at speed of 25 km/h?
1 hour
1 hour and 30 minutes
2 hours
2 hours and 30 minutes
2. How long will it take you to ride 10 kilometers on the back of a horse at 10 km/h?
1 hour
1 hour and 30 minutes
2 hours
2 hours and 30 minutes
3. How long will it take you to travel 200 kilometers on a bus that drives 50 km/h?
2 hours
4 hours
6 hours
8 hours
4. How long will it take you to cycle 90 kilometers at a speed of 30 km/h?
1 hour and 30 minutes
2 hours
2 hours and 30 minutes
3 hours
5. How long will it take you to travel 72 kilometers on a boat at a speed of 12 km/h?
5 hours
6 hours
7 hours
8 hours
6. How fast are you going if you run 12 km in 120 minutes?
6 km/h
12 km/h
18 km/h
24 km/h
7. How fast are you going if you walk 24 km in 3 hours?
72 km/h
36 km/h
27 km/h
8 km/h
8. Yesterday I drove 120 minutes at a speed of 70 km/h. How many kilometers did I drive?
190 km
150 km
140 km
50 km
9. A bird can fly at a speed of 50 miles per hour. If the bird flies for 180 minutes, what distance will it have flown?
230 miles
240 miles
200 miles
150 miles
10. The distance between two cities is 7,200 miles. How long will it take a plane that flies at 600 miles per hour to travel between the two cities?
24 hours
18 hours
12 hours
10 hours
What type of proportion does the table represent?
Direct
Inverse
I dont' know
The length of time you charge your cell phone
and the battery power
g is directly proportional to b
Given g=20 when b=4.
Find g when b=7
35
5
15
23
1.The number of pencils sold varies directly as the cost. If 5 pencils cost $0.45, find the cost of 7 pencils.
Direct Variation
Inverse Variation
4.The number of centimeters y in a linear measurement varies directly with the number of inches x in the measurement. Pablo's height is 167.64 centimeters or 66 inches. What is Maria's height in centimeters if she is 63 inches tall?
Direct Variation
Inverse Variation
6.The time it takes to travel a fixed distance varies inversely with the speed traveled. If it takes Pancho 52 minutes to bike to his fishing spot at 9.5 miles per hour, how long will it take him if he rides at 11 miles per hour?
Direct Variation
Inverse Variation
