Problems with whole numbers and decimals
Measurement and Geometry
Fractions and Decimals 1
Patterns and Problem Solving
Fractions and Decimals 2
100
If you needed to subtract 5.86 from 12.3, show how you would set up (write) the problem using the standard algorithm.
100
Greg has a piece of rope that is 3.5 meters long. How long is the rope in centimeters? (1 meter = 100 centimeters)
(Write your answer exactly as you would type it on the EOG.)
350 centimeters, so you would type
350
100
What is the sum of 13.6 + 5.89, rounded to the tenths place?
19.5
(When rounding to the tenths place, there should not be a digit in the hundredths place)
100
Name the missing number in this sequence
31 , 34 , 40 , ___ , 61
The pattern is +3, +6, +9, +12... (increasing the number added by 3 each time), so the missing number is
49
100
What is the value of this expression?
1/2 + 2/8 + 3/4
(Write your answer exactly as you would type it on the EOG.)
The sum is 1 1/2 or 12/8 , so you could type
1 1/2 or 1 4/8 or 12/8
(ask your teacher if you have something else written that you think would be equivalent and is written in a way that it would be counted right on the EOG)
200
What operation is needed to solve this problem, and why?
An animal shelter uses 38 pounds of dog food per day. How many pounds of food will the shelter use in 365 days?
Every day the animal shelter uses the same amount of dog food. That amount is repeated for 365 days, so the operation is multiplication.
200
Adam measured his bookshelf. The height of the bookshelf is 64 centimeters. What is the height of the bookshelf in meters?
(Write your answer exactly as you would type it on the EOG.)
0.64 meters, so you would type
0.64 or .64
200
Write thirty-eight thousandths as a decimal.
0.38 or .38
(Using the leading zero before the decimal is preferred)
200
Katrina is training to run a road race. She ran every day last week. If she runs at a constant pace of 5 miles per hour, how many miles did she run last week?
7 x (2 x 5) = 70 miles
70
200
What operation is needed to solve this, and why?
Rachel has wooden boards. They are each 2 1/4 feet long. What is the length of
3 1/2 wooden boards?
This is repeated groups of boards that are 2 1/4 feet long. Even though we need the length of 3 1/2 of them, and that includes a fraction, it's still multiplication.
300
Lisa’s puppy has a heart rate of 160 beats per minute. How many times will the puppy’s heart beat in one half hour? (1 hour = 60 minutes)
(Write your answer exactly as you would type it on the EOG.)
One half hour= 30 minutes
30 x 160 = 4,800 beats
4800
300
Annie drew a quadrilateral with 4 equal sides but no right angles. Instead, it had 2 pairs of equal angles. What is the name of the quadrilateral Annie drew?
A rhombus.
300
What number could replace the question mark to make the equation true?
3/? = 6/12
6
300
Look at the table of values below. If the pattern continues, name the value of y when x is 14.
35
300
Estimate the answer to the nearest foot.
Brandon and Steve are working on a project together. Brandon has 12 2/3 feet of wood. Steve has 7 5/6 feet of wood. How many feet of wood do they have altogether?
(Write your answer exactly as you would type it on the EOG.)
12 2/3 is about 13 feet, and 7 5/6 is about 8 feet, so the total should be around 21 feet.
21
400
Peter bought 14 magazines. Each magazine cost him $3.87. Estimate of the total cost of the magazines to the nearest dollar.
(Write your answer exactly as you would type it on the EOG.)
$56, so you would type
58400
Which statement must be true about a parallelogram? 
A. It has 2 sets of parallel sides, and its opposite sides are the same length.
400
Which of these has a value grater than
3/4 ?
a) 0.25 b) 0.68 c) 0.75 d) 0.86
3/4 is equivalent to 75/100 or 0.75, so the answer is
d) 0.86
400
Teddy is 12 years old. His cousin is y years old. Write the expression used to find their combined ages using y as the variable.
Combining means that you're adding.
12 + y or y + 12
400
The shaded parts of these diagrams show how much juice was left after a party. How much larger is the fraction of leftover grape juice than the fraction of leftover apple juice?
2/3 - 5/12 = 3/12 or
8/12 - 5/12 = 3/12 , so you would type
3/12 or 1/4
500
Juan bought 5 sodas to share with friends. He spent $6.15 for all 5 sodas. How much did each soda cost?
(Write your answer exactly as you would type it on the EOG.)
Each soda cost $1.23, so you would type
1.23
500
Write an expression to show how you would solve this problem.
Tom purchased a 40-pound bag of dog food. (1 pound = 16 ounces) Tom feeds his dog using a 5-ounce scoop. How many 5-ounce scoops are in the bag?
To find the number of ounces of dog food, multiply 40 x 16. Then, divide that amount by 5 to get the number of scoops.
40 xx16 -: 5
500
To add fractions, the addends must have the same denominator. Rewrite this addition expression using a common denominator.
3/4 + 5/8
6/8 + 5/8
500
What is the next pair of coordinates in this pattern?
(0,4) (3, 8) (6, 12) (9, 16)
(12, 20)
500
What is the value of n in this equation?
3/8 + n = 1 1/4
(Write your answer exactly as you would type it on the EOG.)
3/8 + 7/8 = 10/8 = 1 2/8 = 1 1/4 , or 1 1/4 = 1 2/8 = 10/8 and 10/8 - 3/8 = 7/8 so the missing value is 7/8 . You would type
7/8