TCAP Mathematics — Grade 5

What is the value of the numerical expression (12 + 8) x 3?

• A44
• B60
• C36
• D72

What is the value of the expression 50 - (4 x 6)?

• A26
• B276
• C24
• D36

Which numerical expression correctly represents the phrase 'add 7 and 9, then multiply by 4'?

• A(7 + 9) x 4
• B7 + (9 x 4)
• C7 x (9 + 4)
• D(7 x 9) + 4

Which expression represents the calculation 'subtract 5 from 20, then divide by 3'?

• A20 - (5 / 3)
• B(20 - 5) / 3
• C(20 / 3) - 5
• D5 - (20 / 3)

Pattern A starts at 0 and adds 3 (0, 3, 6, 9...). Pattern B starts at 0 and adds 6 (0, 6, 12, 18...). What is the relationship between the corresponding terms of Pattern B and Pattern A?

• ATerms in Pattern B are 3 more than terms in Pattern A
• BTerms in Pattern B are twice as large as terms in Pattern A
• CTerms in Pattern A are twice as large as terms in Pattern B
• DTerms in Pattern B are half as large as terms in Pattern A

In the number 5,550, how does the value of the digit 5 in the hundreds place compare to the value of the digit 5 in the tens place?

• AIt is 10 times as large
• BIt is 1/10 of the value
• CIt is 100 times as large
• DIt is equal in value

What is the product of 4.25 x 10^2?

• A42.5
• B4,250
• C425
• D0.0425

What is the value of 680 / 10^3?

• A68
• B6.8
• C0.68
• D0.068

Which of the following shows the number 'three and forty-eight thousandths' written in standard decimal form?

• A3.48
• B3.048
• C3.408
• D34.8

Which inequality statement correctly compares 7.305 and 7.35?

• A7.305 > 7.35
• B7.305 = 7.35
• C7.305 < 7.35
• D7.35 < 7.305

What is 14.863 rounded to the nearest hundredth?

• A14.8
• B14.86
• C14.87
• D14.9

What is the product of 324 x 15?

• A4,860
• B4,560
• C3,860
• D4,820

What is the quotient of 450 / 15?

• A25
• B30
• C35
• D40

What is the sum of 3.45 + 2.18?

• A5.53
• B5.63
• C5.73
• D6.63

What is the difference of 8.75 - 3.42?

• A5.33
• B5.43
• C4.33
• D5.23

What is 1/4 + 2/4 expressed in simplest form?

• A3/8
• B1/2
• C3/4
• D1/4

What is the sum of 3/5 + 1/10?

• A4/15
• B7/10
• C4/10
• D8/10

What is 7/8 - 3/8 simplified to lowest terms?

• A4/8
• B1/2
• C3/8
• D5/8

Marcus ran 1/3 of a mile on Monday and 1/2 of a mile on Tuesday. How far did he run in total over the two days?

• A2/5 mile
• B5/6 mile
• C2/3 mile
• D1/6 mile

Which fraction is equivalent to the division problem 4 / 7?

• A4/7
• B7/4
• C3/7
• D4.7

What is 3 x (2/5)?

• A6/5
• B5/6
• C6/15
• D1/5

What is (1/2) x (3/4)?

• A3/8
• B4/6
• C1/4
• D3/4

What is (1/3) / 2?

• A1/6
• B2/3
• C3/2
• D1/5

What is 4 / (1/2)?

• A2
• B8
• C4/2
• D1/8

How many inches are in 5 feet? (1 foot = 12 inches)

• A50
• B60
• C72
• D48

How many meters are equal to 4 kilometers? (1 kilometer = 1,000 meters)

• A400
• B4,000
• C40,000
• D40

A rectangular prism is packed with 18 unit cubes without gaps. If each cube has a volume of 1 cubic centimeter, what is the volume of the prism?

• A18 cubic centimeters
• B9 cubic centimeters
• C36 cubic centimeters
• D18 square centimeters

A box has a length of 5 cm, width of 3 cm, and height of 4 cm. What is its volume?

• A12 cubic cm
• B60 cubic cm
• C35 cubic cm
• D20 cubic cm

What are the coordinates of the origin on a standard coordinate grid?

• A(0, 0)
• B(1, 1)
• C(0, 1)
• D(1, 0)

Which statement is true about all squares?

• AAll squares are rectangles with four equal sides
• BAll squares have only two right angles
• CAll squares are triangles
• DAll squares have no parallel sides

Evaluate the expression: [ (15 - 5) x 2 ] + 8.

• A28
• B38
• C20
• D48

Evaluate the expression: 4 x { 3 + [ (8 - 2) / 2 ] }.

• A18
• B24
• C36
• D16

Which expression represents 'Multiply the sum of 12 and 4 by the difference of 10 and 3'?

• A(12 + 4) x (10 - 3)
• B12 + 4 x 10 - 3
• C(12 x 4) + (10 - 3)
• D(12 + 4) - (10 x 3)

Rule 1 starts at 0 and adds 4 (4, 8, 12, 16...). Rule 2 starts at 0 and adds 12 (12, 24, 36, 48...). What ordered pair represents the 4th non-zero term of Rule 1 and Rule 2?

• A(16, 48)
• B(12, 36)
• C(16, 32)
• D(20, 60)

Given Point A (2, 5) and Point B (4, 10), where x increases by 2 and y increases by 5 at each step, what are the coordinates of Point C at the next step?

• A(6, 15)
• B(5, 12)
• C(6, 12)
• D(8, 20)

How many times greater is the value of the digit 4 in 4,000 than the value of the digit 4 in 40?

• A10 times
• B100 times
• C1,000 times
• D40 times

A biology sample contains 3.6 x 10^4 bacteria. What is this number written in standard form?

• A36,000
• B3,600
• C360,000
• D360

Which list shows the decimals correctly ordered from least to greatest?

• A0.045, 0.405, 0.45, 0.5
• B0.45, 0.045, 0.405, 0.5
• C0.045, 0.45, 0.405, 0.5
• D0.5, 0.45, 0.405, 0.045

Which expression shows 5.204 written in expanded form using fractions?

• A5 x 1 + 2 x (1/10) + 4 x (1/1000)
• B5 x 1 + 2 x (1/100) + 4 x (1/1000)
• C5 x 10 + 2 x (1/10) + 4 x (1/100)
• D5 x 1 + 2 x 10 + 4 x 100

A wooden board is 12.748 feet long. What is the length rounded to the nearest tenth of a foot?

• A12.7
• B12.75
• C12.8
• D13.0

A school district orders 145 boxes of paper. Each box contains 250 sheets. How many sheets of paper were ordered in total?

• A35,250
• B36,250
• C36,000
• D37,250

A bakery produces 468 cookies every day. How many total cookies does it produce in 34 days?

• A15,812
• B14,912
• C15,912
• D16,012

What is 1,512 divided by 24?

• A62
• B63
• C64
• D53

An auditorium has 1,152 seats divided equally among 36 rows. How many seats are in each row?

• A34
• B28
• C32
• D36

What is 14.25 + 8.9?

• A22.15
• B23.15
• C23.34
• D15.14

Subtract: 15.4 - 6.78.

• A8.62
• B8.72
• C9.62
• D8.38

What is the product of 4.2 x 1.5?

• A63.0
• B0.63
• C6.3
• D6.45

What is 7.56 / 0.3?

• A2.52
• B25.2
• C252
• D24.2