Grade 6 Test
1. Suppose a new operation, *, is defined so that a * b= a 2 + b. (For example, 2*3 = 22 + 3 =7). What is (3 * 1) * 4?
a. 16
b. 21
c. 36
d. 100
e. 104
2. A rectangular room is 7 feet wide and 12 feet long. Tiles for the floor are squares that are 3 inches on each side. How many tiles are needed to cover the floor of this room?
a. 336 tiles
b. 1,008 tiles
c. 1,344 tiles
d. 8,056tiles
e. 12,096 tiles
3. To the right is shown the graph of the equation y = 2x + 1.
Which of the following statements are true?
a. The graph of the equation y = x is parallel to and above the graph y = 2x + 1.
b. The graph of the equation y = x is parallel to and below the graph y = 2x + 1.
c. The graph of the equation y = x intersects the given graph at the point (1,1).
d. The graph of the equation y = x intersects the given graph at the point (-1,-1).
e. The graph of the equation y = x is exactly the same line as the given graph.
4. In a group of 21 people, the mean (average) age is 15. After Joe leaves the group, the mean age falls to 13. How old is Joe?
a. 24
b. 55
c. 60
d. 65
e. 70
5. What would the 200th term in the sequence below be?
5, 9, 13, 17, 21, …
a. 809
b. 805
c. 801
d. 797
e. 793
6. On the map shown below, the intervals all represent the same distance. The mall is 1 1/4 miles from Tina’s home. How far is the pool from Tina’s house?
Tina’s Mall Pool
Home
a. 2miles
b. 2 1/4miles
c. 2 1/2miles
d. 2 1/6miles
e. 2 1/12miles
7. The perimeter of a square is 64 inches. What is the area of the square?
a. 16 square inches
b. 64 square inches
c. 256 square inches
d. 1024 square inches
e. 4096 square inches
8. Evaluate [-7 . 4] +4
8
a. -28
b.-14
c. -7
d. -3
e. 14
9. 135 % of 18 is equal to which of the following?
a. 135 x 0.18
b. 135 x 1.8
c. 135 x 18
d. 13.5 x 18
e. 1.35 x 1.8
10. Which capital letter would NOT contain reflective symmetry?
Grade 6 Test
a. A
Grade 6 Test
b. D
Grade 6 Test
c. E
d. H
e. Z
11. A new kind of clock goes bing, ding, ring, bang, dong, and then it repeats. It continues this same sequence of noises, one noise per second. At 1 second after midnight, the clock went “bing.” What noise did the clock make at the 99th second after midnight?
a. bing
b. ding
c. ring
d. bang
e. dong
12.A rope that is 87 ½ is to be cut into jump- ropes that are 6 ¾ feet long. After the most jump-ropes possible have been made, how much rope will be left over.
a. 6 ½
b. 6 ¾
c. 7
d. 7 ½
e. 7 ¾
13.A troll went to work in the mine. Because, the troll is very greedy, he demanded that he be given his paycheck at the end of each day. Furthermore, he insisted that he be paid $200 for his first day on the job and that he get a $75 raise every day starting his second day. (On day 2, he would get $275; $350 on day 3, and so on). How much will his paycheck be at the end of his 100th day on the job?
a. $ 7,550
b. $ 7,625
c. $ 7,700
d. $ 77,000
e. $ 77,075
14.A student is writing the counting numbers starting with 1. He has written 924 digits. What is the last number he wrote? (Note: 3 is a digit in the number 432).
a. 342
b. 343
c. 344
d. 345
e. 346
15. If the figure shown below represents 3/2, which of the choices would represent ¼? (This means ¼ of 1 not ¼ of 3/2).
a.
b.
c.
d.
e.
16. Which of the following lists of numbers is in order from least to greatest?
a. 0.01, 1/10, 1/.1, 2/.01, 1/.02
b. 0.01, 1/10, 1/.1, 1/.02, 2/.01
c. 0.01, 2/.01, 1/.02, 1/.1, 1/10
d. 1/10, 0.01, 1/.1, 1/.02, 2/.01
e. 1/10, 0.01, 1/.1, 2/.01, 1/.02
17. The volume of a cube is 2,197 cm3. What is its surface area?
a. 169 cm2
b. 468cm2
c. 676 cm2
d. 1,014 cm2
e. 1,734 cm2
18. Evaluate 0.3 +4
0.6 +8
a. 0.25
b. 0.5
c. 1
d. 1.5
e. 2.2
19. Which of the following is in the correct order from least to greatest?
a. 1,000 millimeters, 500 centimeters, 1 kilometer, 150 dekameters
b. 150 dekameters, 1 kilometer, 500 centimeters, 1000 millimeters
c. 1 kilometer, 150 dekamters, 500 centimeters, 1000 millimeters
d. 500 centimeters, 1000 millimeters, 150 dekameters, 1 kilometer
e. 500 centimeters, 1000 millimeters, 1 kilometer, 150 dekameters
20. Mom is making fudge for a party. She doesn’t have time to go to the store to buy more ingredients and the amount of fudge she makes is limited by the amount of cocoa she has on hand. She has 19 tablespoons of cocoa and wants to make enough fudge to use all of the cocoa. The recipe calls for ¾ cups of sugar and 3 tablespoons of cocoa, how much sugar will she use?
a. 2 ¾ cups of sugar
b. 3 1/3cups of sugar
c. 4 ¾ cups of sugar
d. 6 1/3cups of sugar
e. 8 4/9 cups of sugar
21. Ms. Dickerson made a stem and leaf plot to show the grades on the first exam in her Math class. Use this information to determine the median grade of the class.
Test Scores out of 100
Stem / Leaf9 / 8 7 7 6 3
8 / 4 3 1
7 / 0
6 / 9 8 7 6 6 5 5 5 1
a. 65
b. 69
c. 69.5
d. 70
e. 72.3
22. The following bar chart shows the number of cans brought in by each student in Mr. Reed’s homeroom class for a can drive. Use this information to determine the mean number of cans brought into Mr. Reed’s class.
a. 0.6 cans
b. 1.5 cans
c. 2cans
d. 2.5cans
e. 30cans
23. Of the choices listed below, what is the best value of the position marked with the arrow on the number line?
0 1
a. 0.9
b. 1.3
c. 1.5
d. 2
e. 2.5
24. Which of the following items is more likely to be one meter long?
a. paperclip
b. math textbook
c. yardstick
d. 18 wheel truck
e. football field
25. Which statement is true?
a. (2/3)70 is more than 2/3, but less than 1
b. 2/3) 70 is more than 1, but less than 5
c. 2/3) 70 is more than 5
d. 2/3) 70 is less than 2/3, but more than 0
e. 2/3) 70 is less than 0
26. The activity preferences of a group of sixth graders are described in the following table:
basketball / Cross country / soccer / swimming / TOTALBoy / 7 / 10 / 10 / 3 / 30
Girl / 18 / 12 / 15 / 5 / 50
Total / 25 / 22 / 25 / 8 / 80
One child is randomly selected from this group. What is the probability that the person selected is a boy or someone whose favorite activity is basketball?
a. 7/80
b. 25/80
c. 30/80
d. 48/80
e. 55/80
27.A dog is on a 30-foot leash that is attached to the corner of a building. The dog’s food bowl is 30 feet from the corner on one side of the building. The dog’s water bowl is 30 feet from the corner on the other side of the building as shown in the picture. If the dog walks from the food bowl to the water bowl keeping the leash pulled as far from the corner as possible, how many feet will the dog travel? (Round to the nearest tenth of a foot)
Water Bowl
30 feet
Food Bowl
30 feet
a. 60ft
b. 90ft
c. 94.2ft
d. 141.3ft
e. 188.4 ft
28. At Mountainview Elementary School, students are given a student identification code – which consists of three letters followed by two digits. The first letter must be a M, T, V or Z; the second letter must be a vowel (A, E, I, O, or U), the third letter is any letter chosen from A –Z; each digit can be any digit chosen from 0 – 9. Find the total number of possible student codes.
a. 55
b. 42,120
c. 52,000
d. 84,200
e. 1,757,600
29. Which of the following statements is TRUE about perfect squares?
a. They are always prime.
b. They are always odd.
c. They are always even.
d. They have an even number of factors.
e. They have an odd number of factors.
30. A computer costing $1400 was on sale for 50% off regular price. It still did not sell. The company then marked it off another 25%, and it sold. What was the sale price?
a. $ 175
b. $ 350
c. $ 525
d. $ 1050
e. $ 1225