5TH GRADE MATH TEST ONLINE

Question 1 :

Find the value of mn + x² + y². When x  =  2, y  =  1, m  =  2 and n  =  0.

(A)  5     (B)  10      (C)  15

Solution :

mn + x² + y²  =  2(0) + 2² + 1²

  =  5

Question 2 :

The sign of the product of a positive number and a negative number is always __________

(A) Positive   (B) Negative    (C) Zero

Solution :

The product of positive number and negative number is always a negative number.

Question 3 :

Write the following fractions in numerals.

(A) 5/4   (B) 4/5   (C) 1/5

Solution :

5/4  =  Five fourth

4/5  =  Four fifth

1/5  =  One fifth

Question 4 :

Reduce 18/20 to its lowest form.

(A) 9/10   (B) 8/5     (C) 5/10 

Solution :

We can divide 18 and 20 using 2 times table.

18/20  =  9/10

Hence the simplified form is 9/10.

Question 5 :

Three pieces of pipe weight 10.5 kg, 11.42 kg and 26.5 kg. What is the total weight of the three pieces of pipe?.

(A) 48.42 kg    (B) 57.52 kg     (C) 30.10 kg

Solution :

Total weight of pipe  =  10.5 + 11.42 + 26.5

  =  48.42 kg

Question 6 :

A wire measures 0.12 meters. If you cut it into 3 pieces of equal length, how long will each piece be?

(A) 0.02 m     (B) 0.06 m     (C) 0.04 m

Solution :

Length of wire  =  0.12 m

He is going to cut the wire into three equal pieces.

Length of each piece of pipe  =  0.12/3

  =  0.04 m

So, the length of each pipe is 0.04 m.

Question 7 :

The sum of one set of alternate digits and sum of the other set of alternate digits, differ by 0 or 1 or multiple of 11. Then the number is divisible by ______

(A) 9      (B) 11     (C) 15

Solution :

If a number is divisible by 11, it is also divisible by 11.

Question 8 :

The product of two numbers is 288. Their L.C.M is 144. What is their G.C.D? 

(A) 4     (B) 6      (C) 2

Solution :

Relationship between LCM and GCD is 

Product of two numbers  =  LCM x GCD

288  =  144 ⋅ x

x  =  288/144

x  =  2

Hence the GCD is 2.

Question 9 :

The perimeter of a rectangular garden is 800 m. If the length of the garden is 250 m, find the area of the garden in hectares.

(A) 3.75    (B) 3.2      (C) 10.5

Solution :

Perimeter of the rectangular garden  =  800 m

length of the garden  =  250 m

2 (l + w)  =  800

250 + w  =  800/2

250 + w  =  400

w  =  400 - 250

w  =  150

Area of garden  =  l w

=  250(150)

=  37500

Area of garden in hectares  =  37500/10000

=  3.75 hectares

Question 10 :

The volume of a cuboid is 118 cu.cm. If the length is 5.5 m and the breadth is 2.8 m. Find the height of the box.

(A)  7.6 cm      (B) 6.2 cm      (C) 5.4 cm

Solution :

Length  =  5.5 m, breadth  =  2.8 m and height  =  ?

Volume of cuboid  =  118 

l ⋅ b ⋅ h  =  118

5.5 (2.8) h  =  118

h = 118/15.4

h =  7.6

Question 11 :

the chart below gives the math test scores for Mr. Troung's fifth grade class.

What is the range of the set ?

Solution :

Range = Greater value - smaller value 

Greater value = 99

Smaller value = 61

Range = 99 - 61

= 38

So, the range is 38.

Question 12 :

Look at the number sentence below.

32/44 = ?/11

Which number will make the number sentence true ?

a) 4     b)  8     c)  12    d) 16

Solution :

32/44 = ?/11

Dividing numerator and denominator by the same number, we get the equivalent fraction.

(32 ÷ 4) / (44  ÷ 4) ==> 8/11

So, the missing number is 8.

Question 13 :

A post office sold 262 books of stamps with 20 stamps in each book plus 56 sheets of stamps with 48 stamps per sheet . How many did the post office sell in all ?

a) 5344 stamps    b) 7928 stamps   c) 9688 stamps

d) 386 stamps

Solution :

Total number of stamps that post office sell in all

= 262 x 20 + 56 x 48

= 5240 + 2688

= 7928 stamps.

Question 14 :

Look at the table below

What are the missing numbers in the table ?

a)  11.7 and 16.7    b) 11.7 and 8.7    c)  16.7 and 26.7

d) 28.3 and 33.3

Solution :

So, option a is correct.

Question 15 :

Gina has 317 paper clips and has divided them equally into 4 boxes. She says there are 79 paper clips in the box and 1 paper clips is not in the box. Based on 317/4 which of the following gives the best estimate to determine whether Gina's statement is reasonable ?

a) 280/4 = 70      b) 360/4 = 90

c) 320/4 = 80      d) 240/4 = 60

Solution :

Approximating 317 nearest 10's, we get 320

So, option c is correct.

Question 16 :

A farmer divided 124.8 pounds of berries equally into 8 baskets. How many pounds of berries went into each basket?

a) 1.56 lb      b) 10.6 lb     c) 3.1 lb     d) 15.6 lb

Solution :

Quantity of berries = 124.8 pounds

Number of parts = 8

Quantity of berries in each basket = 124.8/8

= 15.6 lb

So, option d is correct

Question 17 :

Three students ran for class president. The bar graph shows the number of votes each student received.

What fraction of the total votes received were for Casey?

a)  3/4    b) 3/7     c)  1/15    d) 1/3

Solution :

Total number of votes = 15 + 10 + 10

= 35

Number of votes secured by Casey = 15

= 15/35

= 3/7

So, option b is correct.

Question 18 :

A jar contains 110 coins. There are 15 quarters and 62 nickels. The rest of the coins are dimes. Which equation can be used to find d, the total number of dimes in the jar?

a) d = 110 + 62 − 15     b) d = 110 − 62 + 15

c) d = 110 + 62 + 15     d) d = 110 − 62 − 15

Solution :

Total number of coins = 110

Number of quarters = 15

Number of nickels = 62

Let d be the number of dimes which are left.

d + 15 + 62 = 110

d = 110 - (15 + 62)

= 110 - 15 - 62

So, option d is correct.

Question 19 :

 What is the value of the expression shown?

(8 × 4 + 2) ÷ 2

a) 24     b) 9      c)  17      d) 33

Solution :

= (8 × 4 + 2) ÷ 2

= (32 + 2) ÷ 2

= 34 ÷ 2

= 17

So, option c is correct.

Question 20 :

The rectangular prism shown has dimensions in centimeters.

The prism will be completely filled with unit cubes that each have a volume of 1 cubic centimeter. How many of these cubes are needed to fill the prism?

a) 360     b)  22     c) 117     d) 44

Solution :

Length = 8 cm, width = 5 cm and height = 9 cm

Volume of the container = 8 x 5 x 9

= 360 cm³

So, the number of cubes required is 360. Option a is correct.

Question 21 :

A shop ordered 362 candles for $15 each. What was the total cost of the candles?

a) $6,670     b) $2,172      c) $5,120    d) $5,430

Solution :

Number of candies = 362

Cost of each candy = $15

Total cost = 362 x 15

= 5430

So, option d is correct.

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