MATH WORKSHEET FOR 5th GRADE WITH MIXED TOPICS

Question 1 :

The transportation company tracked the number of train tickets sold in the past 5 days. On which day did were the fewest train tickets sold?

(A)  Friday       (B)  Sunday      (C)  Tuesday

Solution :

By observing the given data, the least value is 11023. The corresponding day is Sunday.

So, the answer is Sunday.

Question 2 :

Find the perimeter of the rectangle whose length is 4 cm and breadth is 3 cm.

(A) 12 cm        (B) 13 cm       (C) 14 cm

Solution :

Given that

Length  =  4 cm and breadth  = 3 cm 

Perimeter of the rectangle  =  2(l + b)

=  2 (4 + 3)

=  2 (7)

  =  14 cm

Question 3 :

Write the statement "Five less than y" as expression.

(A) y - 5        (B) 5 - y        (C) 5 < y

Solution :

The expression for the statement "Five less than y" is

5 < y

Question 4 :

Subtract 9x from 12x

(A) 3x           (B) -3x          (C) 2x

Solution :

12x - 9x  =  3x

So, the answer is 3x.

Question 5 :

The marks obtained by a student in the five tests held during the quarterly examination are given in below chart. In which two tests the student got same marks ?

(A)  I & II             (B)  II & IV        (C)   III & V

Solution :

By observing the above bar graph, we come to know that II and IV got same marks.

Question 6 :

Add 11pq + 5pq - 2pq

(A) 14pq            (B) 15pq           (C) 16pq

Solution :

11pq + 5pq - 2pq 

  =  (11 + 5 - 2)pq

  =  14pq

Question 7 :

The volume of a water tank is 1200 cu.m. Its length and breadth are 20 m and 10 m. Find its height.

(A)  5 m         (B) 4 m         (C) 6 m

Solution :

Volume of water tank  =  1200 cu.m

length  =  20 m, breadth  =  10 m 

lbh  =  1200

20(10) h  =  1200

200h  =  1200

h  =  1200/200

h  =  6 m

Question 8 :

If 4 aeroplanes carry 1240 passengers, how many passengers can be carried by 6 aeroplanes?

(A)  1860       (B) 2400      (C) 3500

Solution :

4 aeroplanes carry 1240 passangers

Number of passangers in 1 plane  =  1240/4

  =  310

Number of passangers in 6 aeroplanes  =  6(310)

  =  1860

So, the answer is 1860.

Question 9 :

What type of angle is 65°

(A) Right angle     (B) Obtuse angle    (C) Acute angle

Solution :

The given angle measure is less than 90 degree, so it is acute angle.

Question 10 :

What is the angle of straight angle?

(A) 0°            (B) 180°           (C) 90°

Solution :

The angle measure of the straight line is 180 degree.

Question 11 :

The table below lists the 2006 population estimates of five states.

Which of the following lists the states by population in order from least to greatest ?

a) New Mexico, New York, Florida, California, Texas

b) New Mexico, Florida, New York, Texas, California

c) Florida, New York, New Mexico, Texas, California

d) California, Texas, New York, Florida,  New Mexico

Solution :

Arranging from least to greatest, we get

135553, 329362, 2107064, 2585896, 2655993

Arranging the cities,

a) New Mexico, New York, Florida, California, Texas

Question 12 :

When Raul began his homework, the clock showed the time below.

When he finishes his homework, the clock showed the time below.

How much time did it take Raul to finish his homework ?

a) 1 hr 35 minutes        b) 2 hr 25 minutes

c) 1 hr 45 minutes        d) 2 hr 35 minutes

Solution :

The time when he begins his homework = 3 : 35 PM

The time when he finishes his homework = 5 : 10 PM

Total time taken to finish his homework = 5 : 10 - 3 : 35

So, Raul is taking 1 hour and 35 minutes to complete his homework.

Question 13 :

Look at the graph below

Which point is located at (8, 2) ?

a) Point A    b) Point B     c) Point C    d) Point D

Solution :

The point D is located at (8, 2).

Question 14 :

Last week, 3/5 of the computer sold at Connie's computer were laptops. Which of the following fractions is equivalent to 3/5 ?

a) 30/45     b) 21/35     c) 18/40     d)  13/15

Solution :

To find equivalent fraction for a fraction, we should multiply or divide both numerator and denominator by the same number.

= (3/5) x (7/7)

= 21/35

So, option b is equivalent fraction for the given fraction.

Question 15 :

Look at the graph below

What is the perimeter of the figure ?

a) 18.2 yd     b) 17.5 yd      c) 17.3 yd      d) 18.3 yd

Solution :

Sum of lengths of all sides = perimeter of the shape

= 2 + 6.6 + 0.5 + 2.5 + 2.5 + 3.2

= 17.3 yards

So, option c is correct.

Question 16 :

A recipe for one batch of cookies uses 1.25 cups of butter. How many cups of butter are needed to make 6 batches of cookies?

a) 7.5 cups     b) 4.75 cups    c) 7.25 cups   d) 6.5 cups

Solution :

Amount of butter needed to make one batch of cookies

= 1.25 

amount of butter is required for  6 batches of cookies

= 6 x 1.25

= 7.5 cups.

So, option a is correct.

Question 17 :

Which numbers have a value less than 1.069?

Select TWO correct answers.

a) 1.08   b) 1.1    c) 1.052  d)  1.071  e) 1.003

Solution :

The numbers which are lesser than 1.069 are 1.052 and 1.003. 

Question 18 :

Dyna’s house is 6.85 kilometers from Carl’s house. Sanjay’s house is 2 3/10 kilometers closer to Carl’s house than Dyna’s house is. What is the distance in kilometers from Sanjay’s house to Carl’s house?

a) 9.15 km   b) 4.55 km    c) 8.15 km    d) 4.82 km

Solution :

Distance between Carl's house and Dyna's house = 6.85 km

Distance between Sanjay's house and Carl's house

= 6.85 - 2.3

= 4.55 km

Question 19 :

The table represents a relationship between x and y.

Which statement about the relationship between x and y is true?

a) It is a multiplicative pattern because each x-value is a multiple of 4.

b) It is a multiplicative pattern because each y-value is a multiple of 2.

c) It is an additive pattern because each y-value can be determined by finding the sum of the previous x- and y-values.

d) It is an additive pattern because each y-value is determined by adding 10 to the corresponding x-value.

Solution :

c) It is an additive pattern because each y-value can be determined by finding the sum of the previous x- and y-values.

Question 20 :

A baker has 1/4 of a box of muffin mix. He pours all the muffin mix equally into 3 bowls. What fraction of the whole box of muffin mix in each bowl ?

a) 1/12    b) 3/4    c) 2  3/4    d)  3   1/4

Solution :

Quantity of muffin mix in each box = (1/4) / 3

= 1/12

So, option a is correct.

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