Problem 1 :
Tim can stitch 1/5 meter of material every 2/3 hour. What is his unit rate per hour ?
(A) 1/3 meters per hour (B) 3/5 meters per hour
(C) 3/10 meters per hour (D) 1 1/5 meters per hour
Solution :
Given,
2/3 hour ----> 1/5 meter of material
1 hour = (1/5)/(2/3)
= (1/5) ⋅ (3/2)
= 3/10
= 3/10 meters per hour.
Problem 2 :
What is the number 27 in exponential form ?
(A) 27 (B) 33 (C) 39 (D) 93
Solution :
27 = 3 × 3 × 3 = 33
Hence, Option (B) is the answer.
Problem 3 :
In his science lesson, Jong measured out 365 milliliters of ethanol into a beaker for an experiment. How much in this in liters ?
(A) 365000 (B) 3650 (C) 3.65 (D) 0.365
Solution :
Given,
Quantity of ethanol = 365 milliliter
We know that, 1 liter = 1000 milliliter
= 365 ⋅ 1000
= 365000 liter
Therefore, 365000 liter.
Problem 4 :
What is 14.84 ÷ 0.7 ?
(A) 2.12 (B) 21.2 (C) 212 (D) 20.12
Solution :
Given, 14.84÷0.7
To write, 14.84/0.7
= (14.84/0.7) ⋅ (10/10)
= 148.4/7
By long division method,
= 21.2
Therefore, 21.2 is the answer.
Problem 5 :
What is 7/8-1/6 ?
(A) 6/2 (B) 6/8 (C) 6/24 (D) 17/24
Solution :
Given,
7/8-1/6
For unequal denominators, to find LCM of 8 and 6 is 24
= (21-4)/24
= 17/24
So, the answer is 17/24.
Problem 6
Lucie is moving to a new house. She packs boxes one at a time. It takes Lucie 35 minutes to pack each box. How many full of boxes can she pack in two hours and 20 minutes ?
(A) 3 boxes (B) 4 boxes (C) 5 boxes (D) 6 boxes
Solution :
Given, Time taken for each boxes = 35 minutes
Provided time = 2 hrs and 20 minutes
Converting into minutes :
2 hrs and 20 minutes = 140 minutes
Number of boxes = Provided time / time taken for each box
= 140/35
= 4
Therefore she can pack 4 boxes.
Problem 7 :
A marathon runner ran for six hours.
Below all the measurements that are equal to six hours.
(i) 21000 seconds
(ii) 21600 seconds
(iii) 10300 seconds
(iv) 300 minutes
(v) 360 minutes
(vi) 180 minutes
(A) (i) (iv) (B) (ii) (v) (C) (iv) (vi) (D) (ii) (iv)
Solution :
Given, A marathon runner ran for six hours.
We know that, 1 hour = 60 minutes
1 minute = 60 seconds
6 hours = 360 minutes
360 minutes
= 21600 seconds
Therefore, A marathon runner ran for six hours is equal to 360 minutes, 21600 seconds.
Problem 8 :
The rule in the function table below is divide x by five, then subtract three to get y
What are the missing Values in the table ?
Solution :
Let a and b be the missing value.
a = 10/5 - 3 a = 2-3 a = -1 |
b = 60/5 - 3 b = 12-3 b = 9 |
Therefore, missing values is -1 and 9
Problem 9 :
A polyhedron has four faces, four vertices, and six edges. Each face is a Triangular shape. What is the name of the shape ?
(A) Decahedron (B) Tetrahedron
(C) Cube (D) Dodecahedron
Solution :
A polyhedron has four faces, four vertices,
and six edges. Each face is a
Triangular shape is Known as Tetrahedron.
Tetrahedron is a shape with a triangular base and sides.
Therefore, Tetrahedron is the name of the shape.
Problem 10 :
All the shapes below which have rotational symmetry.
Solution :
A regular hexagon has rotational symmetry.
The angle of rotation is 60˚ and the order of the rotational symmetry is 6 .
So, Option (C) has rotational symmetry.
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