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
(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.
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