SCAT MATH PRACTICE

Problem 1  :

Where would you place 1/4 on the number line ?

(a)  A    (b)  B    (c)  C    (d)  D

Problem 2  :

Which point on the number line is 0.59 ?

(a)  A    (b)  B    (c)  C    (d)  D

Problem 3  :

Order the following numbers from smallest to largest:

0.25, 1/3, 2/5, 0.3

(A)  0.25, 2/5, 1/3, 0.3

(B)  0.25, 0.3, 1/3, 2/5

(C)  1/3, 0.25, 0.3, 2/5

(D)  2/5, 1/3, 0.3, 0.25

Problem 4  :

Which fraction is equal to repeating decimal 0.6666… ?

(A)  1/6    (B)  6/10    (C)  66/100    (D)  2/3

Problem 5  :

Which is the greatest common factor of 54 and 12 ?

(A)  2    (B)  3    (C)  4    (D)   6

Problem 6  :

What is the factorization of 60 ?

(A)  2²×3×5    (B)  2⁶    (C)  2×3×10    (D)  2²×15

Problem 7 :

Evaluate the following  :  2⁵+3²

(A)  16    (B)  41    (C)  44    (D)  47

Problem 8 :

On average, each rose has 35 petals. If Tom plants 72 roses in his garden,  How many petals will there be altogether ?

(A)  630    (B)  2520    (C)  3060    (D)  3120

Problem 9 :

Jose walker as a dog walker. He charges fifteen dollars per dog and each day he walks eight dogs. How much would he earn in seven days ?

(A)  630    (B)  720    (C)  750    (D)  840

Problem 10 :

Jeremy had to deliver mail to 65 houses on his route. Each house received 12 letters. How many letters did he deliver ?

(A)  662    (B)  715    (C)  780    (D)  795

Problem 11 :

Shay bought 4 packs of markers for $6 each and a box of colored chalk for $11. What was the total cost of the markers and chalk Shay bought?

A) $35    B) $17    C) $50     D) $68

Problem 12 :

12 Juanita is making a butterfly costume. She needs 4 feet 8 inches of pink ribbon and 2 feet 10 inches of silver ribbon. What is the total amount of ribbon she needs for the costume?

A) 6 feet 6 inches     B) 6 feet 8 inches

C) 7 feet 8 inches     D) 7 feet 6 inches

Problem 13 :

Rajesh bought 2 salads for $3.65 each and a sandwich for $4.35. He gave the clerk $15.00 to pay for the items. How much change should Rajesh have received in dollars and cents?

(1)  Solution  :

We use a number line to fraction order for values between 0 and 1

Since 0  =  0/12, and 1/6  =  2/12

A  =  1/12, then B  =  3/12 by simplifying we get 1/4.

(2)  Solution  :

We order from the point on the given number line.

So, C is the point on the number line 0.59

(3)  Solution  :

Given

0.25, 1/3, 2/5, 0.3

Arrange the given numbers from smallest to largest,

So,  0.25, 0.3, 1/3, 2/5    

Since, 1/3 = 0.3 and 2/5 = 0.4

Therefore, Option (B) is correct.

(4)  Solution  :

Take all given fraction options to find which one is equal to repeating decimal 0.666…

First,

Option (A)  1/6  =  0.1666

Option (B)  6/10  =  0.6

Option (C)  66/100  =  0.66

Option (D)  2/3  =  0.66666

So, Option (D) is equal to repeating decimal 0.6666…

(5)  Solution  :

Factors of 54 : 1, 2, 3, 6, 9, 18, 27, 54

Factors of 12 : 1, 2, 3, 4, 6, 12

Therefore, the G.C.F of 54 and 12 is 6 

(6)  Solution  :

Here, to find the factors but in prime numbers,

60  =  6×10     [ But 6 and 10 are not prime numbers ]

Find factors of 6 and 10,

6  =  2×3

10  =  2×5

So, 60  =  2×3×2×5

Arrange the ascending order,

Prime factors of 60  =  2×2×3×5

Therefore, 2²×3×5 

(7)  Solution  :

Given, 2⁵+3²

2⁵  =  2×2×2×2×2  =  32

3²  =  3×3  =  9

So, 2⁵+3²  =  41

(8)  Solution  :

Given,

Each roses petals  =  35 petals

Total roses  =  72 roses

We find total petals in the roses.

Total petals  =  Total roses × Each roses petals

Total petals  =  72×35

Total petals  =  2520

Therefore, 2520 petals.

(9)  Solution  :

Given,

One dog charges  =  $15

Each day he walks  =  8 dogs

We find how much he earn in seven days ?

Each day charges  =  One dog charges × Each day he walks

=  15×8

=  120

Each day charges  =  $120

So, Seven days  =  Each day charges × Seven days

=  $120×7

=  $840

Therefore, he earn in seven days $840 

(10)  Solution :

Given,

Total houses  =  65 houses

Each house received  =  12 letters

We find, how many letters he deliver

Total letters  =  Total house × Each house received letters

=  65×12

=  780

Therefore, he deliver 780 letters.

(11)  Solution :

Number of packs of markers she bought = 4

Price of each box =  $6

Amount spent for markers = 6(4)

= $24

Cost of colored chalk = $11

Total cost = 24 + 11

= $35

So, option A is correct.

(12)  Solution :

Length of pink ribbon = 4 feet 8 inches

Length of silver ribbon = 2 feet 10 inches

Total amount of ribbon

= 4 feet 8 inches + 2 feet 10 inches

= 6 feet 18 inches

= 6 feet (12 + 6) inches

1 feet = 12 inches

= 7 feet 6 inches

So, total amount of ribbon is 7 feet 6 inches

(13)  Solution :

Total number of salads = 2

Cost of each salad = $3.65

= 2(3.65)

Cost of sandwich = $4.35

Total cost = 2(3.65) + 4.35

= 7.3 + 4.5

= $11.8

Change = 15 - 11.8

= $3.2

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