Question 1 :
For every room in an office building, there are seven windows. Find the missing value in the table below, using the formula w = 7r.
(a) 12 1/2 (b) 84 (c) 19 (d) 112
Question 2 :
Solve the following equation :
p/9 = 3
(a) 3 (b) 6 (c) 9 (d) 27
Question 3 :
What is 6398 ÷ 14 ?
(a) 457 (b) 467 (c) 452 (d) 362
Question 4 :
What is the volume of the solid below, in cubic units.
(a) 6 cu.un (b) 10 cu.un (c) 14 cu.un (d) 12 cu.un
Question 5 :
Bose work as a dog walker. He charges fifteen dollars per dog and each day he walks eight dogs. How much would he earn in 7 days ?
(a) 630 (b) 720 (c) 750 (d) 840
Question 6 :
Select all the equivalent ratios to 6 : 15
(1) 3:5 (2) 2:5 (3) 12:30 (4) 18:45 (5) 1:1
(a) (1) & (2) (b) (2), (3) and (5)
(c) (2), (3) and (4) (d) (1), (3) and (5)
Question 7 :
Use the numbers shown to answer the question
{6, 9, 12, 15, ......}
Which describes this set of numbers ?
(a) odd numbers (b) Even numbers
(c) Prime numbers (d) Multiples of 3
Question 8 :
What fraction is between 1/5 and 1/2 ?
(a) 1/10 (b) 3/10 (c) 4/5 (d) 9/10
Question 9 :
Kelsi spends $6.75 every Saturday for breakfast. What is the total amount of money Kelsi spends on breakfast for 14 Saturdays?
A) $94.50 B) $20.75 C) $92.30 D) $33.75
Question 10 :
An elementary school had 90 boxes of glue sticks. Each box had 36 glue sticks. Teachers put all of the glue sticks into bags to give to the students. They put 6 glue sticks into each bag. Which equation can be used to find b, the number of bags the teachers can fill with these glue sticks?
A) 90 × 36 ÷ 6 = b B) 90 ÷ 6 + 36 = b
C) 36 × 90 + 6 = b D) 36 × 6 × 90
Question 11 :
A rectangular prism has a length of 20 inches, a width of 11 inches, and a height of 13 inches. What is the volume in cubic inches of this rectangular prism?
A) 233 cubic inches B) 2,860 cubic inches
C) 160 cubic inches D) 88 cubic inches
Question 12 :
Nicholas put 1,012 baseball cards into boxes. He put 22 cards in each box. How many boxes did Nicholas need for these baseball cards?
A) 55 B) 50 C) 46 D) 47
Question 13 :
The mass in kilograms of an ice chest is shown in expanded notation.
(1 × 10) + (3 × 1) + (6 × 0.1) + (1 × 0.01)
What is this mass in kilograms, written as a numeral?
(1) Solution :
Using the given formula w = 7r
when r = 12
w = 7(12)
w = 84
(2) Solution :
p/9 = 3
Multiply by 9 on both sides, we get
p = 3(9)
p = 27
So, the value of p is 27.
(3) Solution :
6398 ÷ 14
= 6398/14
= 457
(4) Solution :
Total number of cubes in the figure given above is 12.
Volume of cubes = 12 cubic units.
(5) Solution :
Number of dogs he gives practice = 8
Charge per dog = $15
One day earning = 15(8)
= 120
His earning in 7 days = 120(7)
= 840
(6) Solution :
Given ratio is 6 : 15
Dividing the given ratio 6 : 15 by 3, we get 2 : 5
Multiplying it by 2, we get 12 : 30
Multiplying it by 3, we get 18 : 45
So, option C is correct.
(7) Solution :
{6, 9, 12, 15, ......}
By observing the given sequence, it is multiples of 3.
(8) Solution :
To find the fraction in between the given fractions, let us change the denominators of fraction as same.
(1/5) ⋅ (2/2) = 2/10
(1/2) ⋅ (5/5) = 5/10
So, the fraction lies in between the given fraction is 3/10.
(9) Solution :
Every day Kelsi has to spend $6.75
Number of days she is spending = 14
Total amount Kelsi spends = 14(6.75)
= $94.5
So, option A is correct.
(10) Solution :
Number of boxes of glue sticks = 90
Number of glue sticks = 36
Total number of sticks = 90 x 36
Number of glue sticks in each bag = 6
Number of bags = (90 x 36) ÷ 6
Option A is correct.
(11) Solution :
Length = 20 inches
width = 11 inches
height = 13 inches
volume of rectangular prism = length x width x height
= 20 x 11 x 13
= 2860 cubic inches
(12) Solution :
Number baseball cards = 1012
Number of cards he put in each = 22
Number of boxes he needs = 1012/22
= 46 boxes
So, option C is correct.
(13) Solution :
= (1 × 10) + (3 × 1) + (6 × 0.1) + (1 × 0.01)
= 10 + 3 + 0.6 + 0.001
= 13 + 0.601
= 13.601 kilograms
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