4th GRADE MAP MATH PRACTICE TEST

Problem 1 :

Find the sum of 5 2/5 + 3 4/5

(A) 8 6/10   (B) 8 8/15 (C) 9 1/5   (D) 9 6/5

Problem 2  :

The Length of a marathon is 26.219 miles .What is the nearest whole number to this?

(A) 25 miles (B)  26 miles  (C) 26.2 miles  (D) 27 miles

Problem 3  :

The Perimeter of the triangle is 20.Which linear equation shows this?

(A) 6+m  =  20 (B) 12+m  =  20

(C) 6m  =  20 (D) 12m  =  20

Problem 4  :

What is 694 ÷ 30 ? 

(A)  21 remainder 4 (B)  23 remainder 4

(C) 31  (D)  31 remainder 3 

Problem 5  :

Which of the following expressions is equivalent to

(6×9)×2+6 ?

(A)  (6+6)×2+9  (B)  6+2×(9+6)

(C) (9×2)×6+6 (D)  (2×6)×6+9

Problem 6  :

Convert 1.35 to a mixed number.

(A)1 3/5 (B) 1 7/20 (C) 3/5 (D) 1 5/20 (E) 1/35

Problem 7  :

Farmer Brown needs to fit all this cows and sheep into a large pen. He sees two rectangular pens for sale. One measures 30m by 15m. The other measures 45m by 10m.

Farmers Brown thinks they are both the same, and therefore, just buys the cheaper pen. Which property does he use to say they are the same ?

(A)  They have the perimeter

(B)  They have the same area

(C)  They the same supplier

(D) They have the same volume

Problem 8 :

Find the missing exponent:

10^x  =  100000

(A)  3     (B)  4      (C)  5      (D)  6      (E)  7

Problem 9 :

The library has 5 mystery books on a shelf. It has 4 times as many fiction books on another shelf. How many fiction books are on the shelf? 

Problem 10 :

Sammy has 4/5 of his art project left to paint. He paints 2/5 of the project. What fraction of the project is left to paint?

Problem 11 :

Write the largest number you can using the digits 6, 3, 0, 8, 2 and 5 once only.

Problem 12 :

A supermarket packed 60 eggs into four egg boxes, split equally. How many eggs were in three boxes?

(1)  Solution :

Let us add whole numbers and fraction parts separately,

=  (5+3) + [2/5+4/5]

(Since, The denominator are same, add the numerator)

=  8+ [2+4/5]

=  8+6/5

Now, 8+6/5

=  [8(5) + 6]/5

=  46/5

Changing the improper fraction into mixed fraction, we get

=  9  1/5

(2)  Solution :

Given, Length of a marathon = 26.219 miles

26.21 have two parts.

Integer Part: 26

Fractional Part: 21

Here the 10th digit is 2 which is less than 5. So, we can round the given decimal as 26.

So, 26 miles is the nearest whole number. 

(3)  Solution  :

Given, the perimeter of the triangle is 20.

Formula,

Perimeter of the triangle P=a+b+c    (a=m, b=6, c=6)

20  =  m+6+6

20  =  m+12

12+m  =  20 

(4)  Solution  :

So, the remainder is 4.

(5)  Solution  :

Given, (6×9)×2+6

Take, a  =  6, b  =  9, c  =  2, d  =  6

We form to algebraic expression,

(a×b)×c+d  =  (b×c)×a+d

Then, we apply the values a, b, c, d in the expression,

(6×9)×2+6  =  (9×2)×6+6

So, (9×2)×6+6 

(6)  Solution  :

1.35 decimal value.

After the decimal, we have two digits.

To change 1.35 as integer, we multiply both numerator and denominator by 100.

So, we get

1.35  =  135/100

=  27/20

Changing the improper fraction to mixed, we get

=  1  7/20

(7)  Solution  :

Given, Two rectangular pens sides,

To find both rectangular pens, Area & Perimeter

We know that,

Area of a rectangle  =  length × width

Perimeter of a rectangle  =  2(length + width)

l = 30 m , w = 15 m

A = l × w

A = 450

P = 2(30+15)

P  =  2(45)

P  =  90

l = 45 m , w = 10 m

A  =  l × w

A  =  45×10

A  =  450

P  =  2(45+10)

P  =  110

Therefore,

Area  =  450 and Perimeter  =  90

Area  =  450 and Perimeter  =  110

So, they have the same area. 

(8)  Solution :

100000 can be written as 10⁵

10^x  =  10⁵

Since bases are equal, powers are also equal.

So, x  =  5.

(9)  Solution :

Number of mystery books = 5

Number of fiction books = 5 x 4

= 20 books

(10)  Solution :

Fraction of the project left to paint = 4/5 - 2/5

= (4-2)/5

= 2/5

2/5 of the project is left.

(11) Solution :

6, 3, 0, 8, 2 and 5 once only.

Largest number should be written first. By arranging the numbers from greatest to least, we will get the greater number.

865320

(12) Solution :

Number of eggs packed = 60

Number of packages he packed = 4

Number of eggs in each pack = 60/4

= 15 eggs

Number of eggs in each box = 15

Number of eggs in 3 boxes = 3(15)

= 45 eggs.

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