Problem 11 :
A student will graph the point (5, 3) on a coordinate grid. Which steps can the student take in order to graph the point correctly?
A) Start at the origin. Move 5 units up. Move 3 units right. Graph the point.
B) Start at the origin. Move 5 units right. Move 3 units right. Graph the point.
C) Start at the origin. Move 5 units up. Move 3 units up. Graph the point.
D) Start at the origin. Move 5 units right. Move 3 units up. Graph the point.
Solution :
The given point can be compared with (x , y)
x - moving horizontally, y - moving vertically.
5 = moving right 5 units and 3 = moving up 3 units.
So, option D is correct.
Problem 12 :
What is the value of the expression shown?
4 [4.5 - 2(1.2)]
A) 8.4 B) 15.6 C) 12 D) 19.2
Solution :
= 4 [4.5 - 2(1.2)]
= 4[4.5 - 2.4]
= 4[2.1]
= 8.4
So, option A is correct.
Problem 13 :
Paula wants to buy 3 shirts and 2 belts. The shirts cost $16.89 each, and the belts cost $8.97 each. Paula has $45. Which of these amounts is the best estimate of how much more money Paula needs in order to buy the shirts and belts?
A) $16 B) $10 C) $24 D) $5
Solution :
Cost of 1 shirt = 16.89
Cost of 1 belt = 8.97
Cost of 3 shirts + cost of 2 belts = 3(16.89) + 2(8.97)
= 50.67 + 17.94
= 68.61 approximately 69
Amount Paula has = 45
Difference = 69 - 45
= 24
So, option C is correct.
Problem 14 :
Ella finished a bike race in 37.6 minutes. Miranda finished the race 9 1/10 minutes sooner than Ella finished it. How many minutes did it take Miranda to finish the race?
F) 32.5 minutes G) 46.7 minutes
H) 28.59 minutes J) Not here
Solution :
Time taken by Ella to finish the race = 37.6 minutes
Miranda finishes = 9 1/10 minutes sooner.
Difference = 37.6 - 9 1/10
= 37.6 - 91/10
= 37.6 - 9.1
= 28.5 minutes
So, option C is correct.
Problem 15 :
Four students each wrote down a number between 30 and 40. The list shows the numbers they wrote.
• Elly—35
• Ulysses—39
• Maggie—37
• Palmer—33
Which student wrote down a prime number?
A) Elly B) Ulysses C) Maggie D) Palmer
Solution :
Divisor of 35 : 1, 5, 7, 35 |
Divisor of 39 : 1, 3, 39 |
Divisor of 37 : 1, 37 |
Divisor of 33 : 1, 3, 11, 33 |
37 is the number having only two divisors. So, option C Maggie has written prime number.
Problem 16 :
What is the value of this expression?
Solution :
Problem 17 :
The graph shows three of the four vertices of parallelogram VWXY.
At which location on the coordinate grid could point Y be located?
A) (1.5, 6.5) B) (6.5, 2) C) (6.5, 1.5) D) (2, 6.5)
Solution :
So, option C is correct.
Problem 18 :
A family spent $93 at a carnival.
• They spent $18 on tickets to the carnival and $36 on food.
• They spent the rest of the money on games.
Which equation can be used to find g, the amount of money in dollars the family spent on games?
A) 93 = g + 36 −− 18 B) 93 = 18 + 36 − g
C) 93 = 36 − 18 − g D) 93 = g + 36 + 18
Solution :
Amount that family has = $93
Amount spent for tickets = 18
Amount spent for food = 36
Amount spent on games = 93 - (18 + 36)
g = 93 - 18 - 36
g + 18 + 36 = 93
So, option D is correct.
Problem 19 :
A student builds some rectangular prisms using cubes that each have a volume of 1 cubic inch. Which rectangular prism has a volume of 12 cubic inches?
Solution :
Option A :
Length = 3, width = 2, height = 4
Volume = 3(2)(4) ==> 24 cubic units
Option B :
Length = 3, width = 2, height = 2
Volume = 3(2)(2) ==> 12 cubic units
So, option B is correct.
Problem 20 :
Shauna is reading a 528 page book. She reads 22 pages every day. How many days will it take Shauna to read the entire book?
A) 506 B) 26 C) 24 D) 550
Solution :
Number of pages she reads everyday = 22
Total number of pages in the book = 528
Number of days taken to read the book completely = 528/22
= 24
So, option C is correct.
Mar 14, 24 10:44 PM
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Mar 14, 24 09:52 AM