5TH GRADE MATH PRACTICE TEST ONLINE PRACTICE

Question 1 :

.In which quadrant does the point (3, 4) lie on ?

(A) 1st       (B) 2nd         (C) 3rd

Solution :

In the given point, x and y are positive. So it lies in the first quadrant.

Question 2 :

How many numbers are divisible by 6 between 10 and 50 ?

(A) 8      (B) 5       (C) 7

Numbers which are divisible by 6 between 10 and 50 are 

12, 18, 24,30, 36, 42, 48

Hence 7 numbers are divisible by 6.

Question 3 :

Find the product of 1.008 x 7

(A) 5.012       (B) 6.026      (C) 7.056

Solution :

 1.008 x 7  =  7.056

Question 4 :

Which of the following is correct?

(A) 0 < -1        (B) 0 > -5        (C) -3 > 0

Solution :

Negative numbers are lesser than 0. So, 0 < -1 is correct.

Question 5 :

Joseph earned $20.70 for working 6 hours. How much was he paid for an hour?

(A) $5.15         (B) $3.45       (C) $2.25

Solution :

Money earned by Joseph in 6 hours  =  $20.70

Money earned in 1 hour  =  20.70/6

  =  $3.45

Hence the answer is 3.45.

Question 6 :

The area of a picture is 240 sq.cm. Its length is 20 cm. What is the breadth?

(A) 18 cm       (B) 15 cm      (C) 12 cm

Solution :

Area of picture  =  240

length  =  20 cm, breadth  =  ?

Area of the rectangle  =  length x breadth

20 x breadth  =  240

Breadth  =  240/20

Breadth  =  12 cm

Question 7 :

Find the greatest common factor of 15, 35 and 75 ?

(A) 305        (B) 615        (C) 525

Solution :

Greatest common factor  =  5⋅3⋅7⋅5

  =  525

Question 8 :

The value of 3 cubed times 2 squared is

(A) 108         (B) 102       (c) 110

Solution :

 3 cubed times 2 squared  =  3³ ⋅ 2²

  =  9 ⋅ 4

  =  36

Question 9 :

If A  =  {2, 4, 6, 8} then what will be the value of n(A)

(A) 4        (B) 7         (C) 10

Solution :

The number of elements in the set A is 4.

The value of n(A)  =  4

Question 10 :

What is the value of 6!

(A) 540        (B) 720        (C) 120

Solution :

6!  =  6 ⋅ 5 ⋅ 4 ⋅ 3 ⋅ 2 ⋅ 1

  =  720

Question 11 :

In which number is the digit 5 in the hundredths place?

(A)  4,562.87     (B) 1,642.705     (C) 7,623.159

(D)  8,236.506

Solution :

(C) 7,623.159

5 is in the hundredths place.

Question 12 :

Sahil made a wooden train that was 185 centimeters long. What is the length of the train in meters?

(A) 1.85 m     (B) 0.185 m     (C) 18,500 m    (D) 185,000 m

Solution :

1 m = 100 cm

1 cm = 1/100 m

185 cm = 185/100

= 1.85 m

So, option A is correct.

Question 13 :

Pedro measured the amount of water in five different fish tanks. The table shows four of his measurements.

Tank Y has the second least amount of water. Which of these could be the amount of water in Tank Y?

(A) 10.005 gallons     (B) 10.015 gallons

(C) 10.09 gallons        (D) 10.04 gallons

Solution :

Arranging from least to greatest,

10.009 < 10.019 < 10.1 < 10.9

tank Z < tank W < tank V < tank X

So, the given option 10.015 gallons lie between 10.009 and 10.019.

Question 14 :

The model shown represents a division equation.

Which equation could be represented by the model?

(A) 32 ÷ 4 = 8         (B) 0.32 ÷ 4 = 0.08

(C) 0.8 ÷ 4 = 0.2      (D) 8 ÷ 4 = 2

Solution :

The numerical value represented by the shaded part is 0.32

0.32 ÷ 4 = 0.08

Question 15 :

It took Janelle 12.75 hours to read a book. She read for the same amount of time each day for 5 days. What was the total amount of time, in hours, she spent reading the book each day?

(A) 2.11 h    (B) 2.55 h   (C) 63.75 h   (D) 17.75 h

Solution :

Total time taken = 12.75 hours

Time spent on each day = 12.75/5

= 2.55 hours

So, option B is correct.

Question 16 :

Mishail’s budget for June showed an income of $80 and expenses of $100. Which actions could Mishail take to balance her budget for June?

(A) Increase expenses and decrease income

(B) Increase expenses and increase income

(C) Decrease expenses and decrease income

(D) Decrease expenses and increase income

Solution :

Decrease expense and increase income.

Question 17 :

What is the value of the expression shown?

5[6.2 − 3(1.6)]

(A) 7     (B) 26.2   (C)  23   (D) 25.6

Solution :

= 5[6.2 − 3(1.6)]

= 5[6.2 - 4.8]

= 5[1.4]

= 7

So, option A is correct.

Question 18 :

Trevor bought 6 shirts for $12.80 each. What was the total cost of the 6 shirts?

(A) $18.80    (B) $100.80  (C) $76.80     (D) $72.80

Solution :

Number of shirts purchased = 6

Cost of each shirt = $12.80

Total cost = 6 x 12.80

= 76.8

So, option C is correct.

Question 19 :

Enzo practiced the violin for 30 minutes on all 7 days last week. This week, he practiced for 35 minutes on all 7 days. Which equation can be used to find m, the total number of minutes Enzo practiced the violin during these two weeks?

(A) m = (7 × 30) + (7 × 35)       (B) m = 7 × (30 × 35)

(C) m = (7 + 30) × (7 + 35)      (D) m = 7 + (30 + 35)

Solution :

m is the total minutes.

m = (30 x 7) + (35 x 7)

So, option A is correct.

Question 20 :

This stem and leaf plot shows the number of books that were checked out of a library each hour on Saturday.

What is the total number of books that were checked out on Saturday?

(A) 153     (B) 167     (C)   177     (D) 143

Solution :

Total number of books checked

= 10 + 15 + 16 + 21 + 24 + 24 + 32 + 35

= 177

Option C is correct.

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