4
6th Grade Math Benchmark Test 1
Directions: Read each question carefully and choose the correct answer. Mark the corresponding letter on your answer sheet.
SPI 6.1.2
1. The rainfall in July, August, and September was 16.76 cm, 13.97 cm, and 15.24 cm, respectively. About how many total centimeters of rain fell during those three months?
A. / 34 cm / C. / 40 cmB. / 45 cm / D. / 46 cm
2. Lydia earned $9.75 per hour as a lifeguard last summer. She worked 25 hours a week. About how much did she earn in 10 weeks?
A. / $2,500 / C. / $200B. / $250 / D. / $2,000
3. A total of 130 letters and 30 packages were mailed at a post office on Saturday. The cost for each letter was between $0.42 and $0.68, and the cost for each package was between $5.55 and $6.30. Which best represents the total cost for the letters and packages mailed on Saturday?
A. / more than $300 / C. / between $100 and $200B. / between $200 and $300 / D. / less than $100
SPI 6.1.4
4. Which of the following expressions is equivalent to 6(3 + 8)?
A. / (6 + 3) · (6 + 8) / C. / 6 ÷ 3 + 8B. / 6 + 3 + 8 / D. / (6 x 3) + (6 x 8)
5. A student wrote 5 x 4 = 4 x 5. Which property did the student use?
A. Associative property of multiplication C. Commutative property of multiplication
B. Distributive property of multiplication D. Identity property of multiplication
6. Jake needed to multiply (5 x 12) x 2 on his homework. He regrouped the numbers and
multiplied 5 x 2, then multiplied times 12. What property of multiplication did Jake use?
A. Associative property of multiplication C. Commutative property of multiplication
B. Distributive property of multiplication D. Identity property of multiplication
SPI 6.1.5
Key= 1
= x
7. Look at the key.
Which model below represents 2x + 3?
A. B.
C. D.
8. Look at the key below.
Which expression is represented by this model?
A. / 4x + 2 / C. / 2x - 4B. / -4x- 2 / D. / 2x + 4
SPI 6.2.3
9. Karen was making costumes for the school play. A bolt of fabric has 4.5 yards of material on it. Karen cut what she needed, and there were 1.3 yards left. How much fabric did Karen use?
A. / 3.2 yd / C. / 5.2 ydB. / 3.8 yd / D. / 5.8 yd
10. James is making brownies to sell at the school bake sale. If he makes 56 brownies and sells them for $1.25 each, how much do his brownie sales earn the school?
A. / $70.00 / C. / $54.75B. / $57.25 / D. / $44.80
11. The design on a 49.2-inch scarf is 12 equally sized stripes. How wide is each stripe?
A. / 4 inches / C. / 4.27 inchesB. / 4.1 inches / D. / 5 inches
12. Fernando’s grandparents gave him and his 2 sisters $42.75 to share equally. What is the total amount of money that Fernando should receive?
A. / $10.95 / C. / $21.37B. / $14.25 / D. / $85.50
SPI 6.2.4
13. For breakfast, Melody bought a muffin for $0.50 and a cup of coffee for $1.10. For lunch, Melody had soup, a salad, and lemonade. The soup cost $1.80, the salad cost $3.50, and the lemonade cost $1.10. How much more money did Melody spend on lunch than on breakfast?
A. / $7.20 / C. / $4.20B. / $4.80 / D. / $8.00
14. Devon earns $25.50 per day working in a shoe store. His boss pays him $.50 extra for each package of sports socks he sells. After 5 days of work, Devon earned $157.50. How many packages of sports socks did he sell?
A. / 30 / C. / 15B. / 60 / D. / 25
15. Susan wants to run 30 miles each week. On Monday, she ran 9.5 miles. On Wednesday, she ran 10.25 miles. On Friday, she ran exactly enough miles to reach her goal. How many miles did she run on Friday?
A. / 10.15 mi / C. / 10.75 miB. / 10.2 mi / D. / 10.25 mi
SPI 6.2.7
16. Where will 1.24 be on a number line?
A. / between 1.1 and 1.2 / C. / between 0.1 and 1.0B. / between 1.2 and 1.3 / D. / between .24 and 1.2
17. Identify the decimal number at the location where the arrow is pointing.
0.02 0.03 0.04 0.05
A. / 0.037 / C. / 1.03B. / 0.37 / D. / 0.038
18. In math class, the students were given decimals to plot on a number line. Which decimal is NOT in the correct place on the number line?
A. / 0.15 / C. / 0.08B. / 0.16 / D. / 0.03
SPI 6.3.2
19. Evaluate the following expression: 16 ÷ (8 - 6) ● 3² - 1
A. / 71 / C. / 40B. / 47 / D. / 64
20. Which operation would you do first to solve the following expression? 8 ÷ 4 x 6 + (7 – 5)
A. / Divide / C. / AddB. / multiply / D. / Subtract
21. Place the parentheses so that the following equation is correct: 2³ + 6 – 5 x 4 = 12
A. / 2³ + 6 – (5 x 4) = 12 / C. / (2³ + 6) – 5 x 4 = 12B. / 2³ + (6 – 5) x 4 = 12 / D. / 2³ + 6 – 5 x 4 = 12
SPI 6.3.3
A. / s = 76 / C. / s =B. / s = 23 / D. / s = 15
22. Solve for s.
23 The list below shows the items Seth bought at a grocery store.
• 1 gallon of milk for $3.88
• 1 loaf of bread for $1.99
• 1 dozen eggs for $1.59
He paid for these items with a $10 bill. Which equation could be used to find c, the total amount of change, in dollars, Seth should receive?
A. / c = 10 − (3.88 × 1.99 × 1.59) / C. / c = 10 + (3.88 − 1.99 − 1.59)B. / c = 10 + (3.88 + 1.99 + 1.59) / D. / c = 10 − (3.88 + 1.99 + 1.59)
24. Your class needs a total of 58 sandwiches for the parent luncheon. If 17 sandwiches have already been made, find the number n that is still needed.
a. / 41 sandwiches / c. / 75 sandwichesb. / 51 sandwiches / d. / 40 sandwiches
SPI 6.3.4
25. Choose which example is NOT equivalent to the other examples if s=2.
A. / s + s + s + s + 4 / C. / 4 (s + 1)B. / 4s + 4 / D. / 4 + (s ● 1)
26. Which expression is equivalent to 7 (6y + 4)?
A. / (7 x 6) y + 4 / C. / (7 x 6) y + (7 x 4)B. / 7y (6 + 4) / D. / (7 x 6)y + (7 x 4)y
27. Tony brought 2 packs of 50 plates and 1 pack of 30 plates. Which of the following expressions could you use to find the total number of plates Tony brought?
A. / 2 + 50 + 30 / C. / (2 x 30) + 50B. / (2 x 50) + 30 / D. / 2 (30 + 50
SPI 6.3.5
28. Look at the expression. 4n - 7
5
Which of these has the same meaning as this expression?
A. / seven less than the sum of four times a number n and fiveB. / the difference between seven and five less than four times a number n
C. / seven less than the quotient when four times a number n is divided by five
D. / the difference between seven and the quotient when five is divided by
four times a number n
29. Aaron’s class has collected 40 canned goods and plans to give them away equally to p families. Write an expression to show how many canned goods each of the families will receive.
A. / 40 + p / C. / 40pB. / / D. / 40 – p
30. Write the phrase “22 less than 76” as a numerical or algebraic expression.
A. / 76 · 22 / C. / 22 ¸ 76B. / 76 – 22 / D. / 22 – 76
SPI 6.3.6
31. Which two inverse operations would be used to find the value of e that makes the
equation true?
63 + 14e = 91
A. addition and division C. subtraction and division
B. addition and multiplication D. subtraction and multiplication
32. What value of p makes the equation true?
12 + = 48
A. 72 C. 288
B. 216 D. 360
33. An adult meal at a restaurant costs three dollars more than twice the cost of a
children's meal. The adult meal is $17. To find the cost of a child's meal, Kamar
wrote this equation.
17 = 2c + 3
What value of c makes the equation true?
A. 7 C. 10
B. 8 D. 14
SPI 6.3.7
34. The table below shows the values for x and y.
Which expression can be used to find all the y-values in the table?
A. / y = x + 1 / C. / y = 2x + 1B. / y = x + 5 / D. / y = 2x -1
35. Virginia is baking mini-pizzas for the Everyone-in-Ecology fundraiser. It takes 5minutes to preheat the oven and then 2minutes to bake each batch of mini-pizzas. Virginia makes a table of baking time:
Virginia’s Total Baking TimeNumber of batches / 0 / 1 / 2 / 3 / 4 / 5 / 6
Total time in minutes / 5 / 7 / 9 / 11 / 13 / 15 / 17
Then, she graphs the relationship.
Total Baking TimeNumber of Batches
If x represents the number of batches, which of the following expressions could be used to find the total baking time.
A. / y= / C. / y=B. / y= / D. / y=
36. The following graph shows the number of gallons of water in a goldfish pond as it is
being filled. Let t represent the length of time in minutes. What expression can be
used to find the number of gallons of water in the pond after tminutes?
A. / y= / C. / y=
B. / y= / D. / y=