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ITBS Level 12 Grade 6 Mathematics
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ITBS Level 12 Grade 6 Mathematics
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25 Questions

1. One morning at Jim's café, 25 people ordered juice, 10 ordered milk, and 50 ordered coffee with breakfast. Which ratio best compares the number of people who ordered milk to the number of people who ordered juice?
2. Annette read that out of 20 televisions sold in her state last year, 3 were Brand V. If a furniture store near her home sold 360 televisions last year, about how many should Annette expect to be Brand V?
3. Evan measured the amount of rain in the gauge over the weekend. On Saturday, he measured
 inches and on Sunday,
 inches. What is the total amount of rain, in inches, Evan measured on those two days, written in the simplest form?
4. Elena counted the number of birds that came to her bird bath one afternoon. While she watched, 20 sparrows, 16 finches, 4 wrens, and 10 jays came to the bird bath. Which ratio, in simplest form, compares the number of finches that Elena counted to the number of sparrows?
5. The rectangle in this drawing is divided into equal-sized parts, with some of them shaded a darker color.

What percent best represents the part of the rectangle that is shaded a darker color?
6. A club is making necklaces in school colors. They plan to use an equal number of blue beads and silver beads on each necklace. The blue beads come in bags of 60 and the silver beads come in bags of 80. What is the smallest number of bags of each color the club can purchase to have an equal number of each color bead with no beads left when the necklaces are finished?
7. Tomas needs $100 to buy a telescope he wants. He received $40 as a gift and spent $10 on a book about telescopes. He earned $35 doing small jobs for his family. The steps Tomas can use to find the amount he still needs to save to buy the telescope are shown here in incorrect order.
Step R: Subtract 65 from 100. Step S: Subtract 10 from 40. Step T: Add 35 to 30.
Which sequence shows the steps in the correct order?
8. Thomas drew a polygon with vertices: A, B, C, and D. He measured the angles formed and recorded the information shown here.

Which of the angles that Thomas drew is an obtuse angle?
9. A farmer had about 150 bags of potatoes on his trailer. Each bag contained from 23 to 27 pounds of potatoes. Which is the best estimate of the total number of pounds of potatoes on the farmer's trailer?
10. A trash company charges a fee of $80 to haul off a load of trash. There is also a charge of $0.05 per mile the load must be hauled. Which equation can be used to find c, the cost for hauling a load of trash m miles?
11. Olga drew the regular figure shown here. She painted part of the figure a light color and part of it a darker color. She left the rest of the figure white.

Which of the following equations best models the part of the figure Olga left white?
12. The repeating pattern shown below uses the same four figures over and over again.

Which of the four figures will the figure in the 31st position look like?
13. A unit of liquid measure in the English System of Measure is the gill. The table, shown here, gives conversions from gills to fluid ounces.

Which equation best describes the relationship between gills, g, and fluid ounces, f?
14. One cold afternoon at a small café, 20 people drank hot tea, 45 drank coffee, and 15 drank hot chocolate. Which ratio compares the number of people who drank coffee to the number who drank tea?
15. William needs to find the value of the expression below. What is the value of this expression? 40 – 4(3 – 1)
16. Julie shopped for first-aid cream. One large tube held 1.5 fluid ounces and the smallest tube held 0.33 fluid ounces. What is the difference in the number of fluid ounces of cream in the two tubes?
17. This table shows bases, heights, and areas of four triangles. In each triangle, the base remains the same and the height changes.

Triangles

Base, b

30 yards

30 yards

30 yards

30 yards

Height, h

20 yards

40 yards

60 yards

80 yards

Area, A

300 square yards

600 square yards

900 square yards

1200 square yards



Which formula best represents the relationship between A, the areas of these triangles, and h, their heights?
18. This table shows lengths, widths, and areas of four rectangles. In each rectangle, the length remains 40 meters, but the width changes.

Rectangles

Length

40 meters

40 meters

40 meters

40 meters

Width

20 meters

30 meters

40 meters

50 meters

Perimeter

120 meters

140 meters

160 meters

180 meters



Which formula best represents the relationship between P, the perimeters of these rectangles, and w, their widths?
19. Castor collects only baseball and football cards. He has 40 baseball cards and 10 football cards. Which decimal best shows the part of his entire card collection represented by his baseball cards?
20. Antoinette had $50 she had saved. At a craft show, she bought 2 pairs of earrings for $10 each and a picture for $12. She also spent $7 on lunch. If she spent no other money, how much money should Antoinette have left from the $50?
21. The table below shows changes in the area of several trapezoids as the lengths of the bases, b1 and b2, remain the same and the height, h, changes.

Trapezoids

b1 (in feet)

b2 (in feet)

h (in feet)

A (in square feet)

5

7

2

12

5

7

4

24

5

7

6

36

5

7

8

48



Which formula best represents the relationship between A, the areas of these trapezoids, and h, their heights?
22. Two sets of numbers are shown here. In each set, the terms increase by the same amount each time. Set M = {1, 4, 7, 10, 13, …} Set V = {1, 3, 5, 7, 9, …} What is the first number greater than 20 which is a member of both Set M and Set V?
23. At the middle school Vanessa attends, there are 240 Grade 6 students, 210 Grade 7 students, and 200 Grade 8 students. Which ratio best compares the number of students in Grade 8 to the number of students in Grade 6 at Vanessa's school?
24. The table below gives the positions of several terms in a sequence and the values of those terms.

Which rule can be used to find the value of n?
25. Stephen researched the topic of solar-powered lights for his science project. He exposed 10 new solar lights to five hours of sunlight. He recorded the number of minutes each light continued to shine after dark in the list below
63, 67, 73, 75, 80, 91, 63, 72, 79, 87
Which of these numbers is the mean of the number of minutes in Stephen's list?