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2024 5th Grade Math TCAP Prep--- by AP Ray

Total questions: 43

Worksheet time: 2hrs 58mins

Name
Class
Date
1.

What is the value of this expression? (5 + 3) x (4 – 2)

a)

11

b)

15

c)

16

d)

30

2.

What is (12/9) + (1/12)?

a)

1 5121\ \frac{5}{12}

b)

1 7181\ \frac{7}{18}

c)

1712\frac{17}{12}

d)

5036\frac{50}{36}

3.

Susan plans to make 4 pies for a family reunion. There will be 32 people at the reunion. How much pie will each person get if each piece is the same size?

a)

1/4 of a pie

b)

1/7 of a pie

c)

1/8 of a pie

d)

1/32 of a pie

4.

Which division problems have a quotient greater than 25? Select all that apply.

a)

1250/50

b)

1175/50

c)

650/25

d)

675/25

5.

Which ordered pair describes the point shown on the graph?

a)

(1, 4)

b)

(2, 5)

c)

(3, 6)

d)

(5, 2)

6.

A small cereal box can be packed full with 40 unit cubes. What do the 40 cubes in the box measure?

a)

the area of the cereal box

b)

the mass of the cereal box

c)

the height of the cereal box

d)

the volume of the cereal box

7.

Which expression correctly shows 5 times the sum of 12 and 7?

a)

5 + 12 x 7

b)

5 x 12 + 7

c)

(5 + 12) x 7

d)

5 x (12 + 7)

8.

3876 ÷ 68=

a)
45
b)
71
c)
63
d)
52
e)
57
9.

A recipe for chocolate chip cookies calls for 3/4 cup of flour and 1/3 cup of sugar. How much flour and sugar combined is used in the recipe?

a)

712\frac{7}{12} cup

b)

1 121\ \frac{1}{2} cup

c)

1 cup

d)

512\frac{5}{12} cup

10.

What is (3/5) + (1/6)?

a)
23/30
b)
19/30
c)
2/3
d)
5/8
11.

This figure is made of unit cubes. It is shown from the front and from the back. What is the volume, in cubic units, of the figure?

a)

6

b)

9

c)

11

d)

14

12.

This model can be used to find 8 ÷\div 1/9. Which statement about 8 ÷\div 1/9 is true?

a)

b)

c)

d)

13.

Which statement correctly compares the numbers 0.07 and 0.007?

a)

The number 0.07 is 100 times greater than 0.007.

b)

The number 0.07 is 10 times greater than 0.007.

c)

The number 0.007 is 100 times greater than 0.07.

d)

The number 0.007 is 10 times greater than 0.07.

14.

What is 4,586 x 908?

a)

439,428

b)

449,428

c)

4,064,088

d)

4,164,088

15.

What is 728 ÷ 52?

a)

4

b)

11

c)

14

d)

15

16.

Three decimal numbers are shown: 3.14, 3.140, 3.104. Which statement about these decimal numbers is true?

a)

3.14 > 3.140, because 4 hundredths is less than 40 thousandths.

b)

3.14 > 3.140, because 4 hundredths is greater than 40 thousandths.

c)

3.14 < 3.140, because 4 hundredths is less than 40 thousandths.

d)

3.14 > 3.104, because 4 hundredths is greater than 0 hundredths.

17.

Jonathan is finding the product of 8/5 and 3/4. Which of the following statements are true? Select the two correct answers.

a)

The product will be greater than 8 because 3/4 is less than 1.

b)

The product will be less than 8 because 3/4 is less than 1.

c)

The product will be less than 8 because 3/4 is greater than 1.

d)

The product will be greater than 24 because 3/4 is greater than 1/2.

e)

The product will be greater than 1 because 24 is greater than 20.

18.

What is 1850 x 135?

a)

199,800

b)

239,750

c)

248,550

d)

249,750

19.

Which number, when rounded to the nearest tenth, gives an answer of 3.4?

a)

3.348

b)

3.362

c)

3.471

d)

3.483

20.

Mary has 5 145\ \frac{1}{4} cups of sugar. For a recipe, she needs to use 14\frac{1}{4} of the amount of sugar she has. How much sugar does she need for the recipe?

a)

5 cups

b)

10 1/2 cups

c)

2116\frac{21}{16} cups

d)

5 145\ \frac{1}{4} cups

21.

What is the solution to 9 4/10 + 5 2/3?

a)

9 4/5

b)

11 11/30

c)

10 7/30

d)

10 17/30

22.

One meter is equal to about 3.281 feet. What is this number of feet rounded to the nearest tenth?

a)

3.2

b)

3.3

c)

3.28

d)

3.29

23.

Three decimal numbers are listed: 0.504, 3.057, 28.06. Which statements about these decimals are true? Select the three true statements.

a)

The word form of 0.504 is five and four thousandths.

b)

The word form of 28.06 is twenty-eight and six hundredths.

c)

The expanded form of 0.504 is (5 x 1/10) + (4 x 1/1000).

d)

The expanded form of 3.057 is 3 x 1 + (5 x 1/10) + (7 x 1/100).

e)

The expanded form of 28.06 is 2 x 10 + 8 x 1 + 6 x 1/100.

24.

The Carson family went fishing. They caught a 2 582\ \frac{5}{8} pound trout and a 1 121\ \frac{1}{2} pound bass. Which calculation shows how many more pounds the trout weighed than the bass?

a)

2 5/8 - 1 1/2 = 1 181\ \frac{1}{8}

b)

2 5/8 - 1 1/2 = 1 161\ \frac{1}{6}

c)

2 5/8 + 1 1/2 = 3 6103\ \frac{6}{10}

d)

2 5/8 + 1 1/2 = 4 154\ \frac{1}{5}

25.

A shape is shown. Which of these name the shape? Select the two correct answers.

a)

square

b)

rectangle

c)

quadrilateral

d)

parallelogram

e)

equilateral triangle

26.

Heather made a number pattern in the table shown. She started to make a second number pattern. Heather finished the second number pattern. Then she graphed the ordered pairs made by her two number patterns. Which graph shows the points Heather graphed?

4 lines
27.

What is the volume of this rectangular prism?

a)

3 x 4 x 2 = 24

b)

4 x 4 x 2 = 32

c)

3 x 4 x 2 = 30

d)

20 x 20 x 6

28.

A student divides 3506.7 by 10210^2 . How many places to the left or right of the decimal point in 3506.7 will the decimal point be in the quotient?

a)

2 places to the left

b)

2 places to the right

c)

3 places to the left

d)

3 places to the right

29.

What is the volume of this figure?

a)

105 cubic units

b)

81 cubic units

c)

45 cubic units

d)

36 cubic units

30.

The first few numbers in two number patterns are shown in the table. Both patterns continue. Which statement correctly compares the numbers in each row?

a)

The number in Pattern B is 3 times the number in Pattern A.

b)

The number in Pattern B is 6 times the number in Pattern A.

c)

The number in Pattern B is 4 more than the number in Pattern A.

d)

The number in Pattern B is 8 more than the number in Pattern A.

31.

A gardener weighs 10 watermelons. This line plot shows the weight of each watermelon. How many more pounds does the heaviest watermelon weigh than the lightest watermelon?

a)

1 121\ \frac{1}{2}

b)

1 341\ \frac{3}{4}

c)

2 142\ \frac{1}{4}

d)

2 342\ \frac{3}{4}

32.

Choose the correct statement about the product of 5/2 and 1/4.

a)

The product is less than 1/4 because 5/2 is less than 1.

b)

The product is greater than 1/2 because 1/4 is greater than 1.

c)

The product is less than 1/2 because 5/2 is greater than 1.

d)

The product is greater than 1/4 because 5/2 is greater than 1.

33.

What is the volume, in cubic inches, of the lunch box?

a)

17

b)

45

c)

135

d)

174

34.

An art teacher has 1/3 of an ounce of glitter. She divides the glitter equally between 10 students. How much glitter does each student get?

a)

1/30 ounce

b)

1/15 ounce

c)

1/10 ounce

d)

1/2 ounce

35.

Lisa is growing a tomato plant and a pea plant in science class. She measures the height of each plant. The pea plant is 18 centimeters tall. The tomato plant is 8.4 centimeters taller than the pea plant. How many millimeters tall is the tomato plant?

a)

102 mm

b)

264 mm

c)

660 mm

d)

858 mm

36.

Which of these could best be measured using unit cubes?

a)

the volume of a cereal box

b)

the weight of a banana

c)

the time to cook a carrot

d)

the temperature of a cup of coffee

37.

The lengths of the sides of a room are shown. What is the area of the room?

a)

26 14 ft226\ \frac{1}{4\ }ft^2

b)

52 12ft252\ \frac{1}{2}ft^2

c)

156 38ft2156\ \frac{3}{8}ft^2

d)

172 18ft2172\ \frac{1}{8}ft^2

38.

A cube has a side length of 6 centimeters. What is the volume of the cube?

a)

18 cm³

b)

36 cm³

c)

144 cm³

d)

216 cm³

39.

Rob grows potatoes in his garden. The weights of the potatoes are shown in this line plot. Rob bakes the three potatoes that have the greatest weights. What is the total weight, in pounds, of the three potatoes that Rob bakes?

a)

2

b)

2 182\ \frac{1}{8}

c)

2 142\ \frac{1}{4}

d)

2 582\ \frac{5}{8}

40.

Which shapes are parallelograms? Select all that apply.

a)

pentagon

b)

square

c)

rhombus

d)

rectangle

e)

trapezoid

41.

Which three numbers have digits in the hundredths place that stay the same when they are rounded to the nearest hundredth? Select the three correct answers.

a)

0.047

b)

0.129

c)

25.522

d)

69.808

e)

140.670

42.

How many milligrams are equal to 0.036 grams?

a)

3.6

b)

36

c)

360

d)

3600

43.

Which expression correctly shows sixteen minus two, divided by the sum of three and four?

a)

(16 + 2 ÷ 3) + 4\left(16\ +\ 2\ \div\ 3\right)\ +\ 4

b)

(16 ÷2)  (3+4)\left(16\ \div2\right)\ -\ \left(3+4\right)

c)

(16 x 2 ) ÷ (3+4)\left(16\ x\ 2\ \right)\ \div\ \left(3+4\right)

d)

(162)÷(3+4)\left(16-2\right)\div\left(3+4\right)