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Word Problems I
Word Problems II
Logic
Solving Equations
Fraction& percentage
100

Three consecutive numbers have a sum of 75. What is the smallest number?

The smallest number is 24.

100
Neal ate four more than three times the number of cookies as Claire. If they ate 44 cookies together, how many cookies did Neal eat?
Neal ate 34 cookies.
100

What is the next number in the sequence?

2, 5, 10, 17, ___

26

(+3, +5, +7, +9)

100
2x + 6 =0
x = -3
100

Which is larger?

101/102 and 100/101

101/102 > 100/101

200
If Austin scores a 78 and 85 on his first two tests, what does he need to score on his third test to average an 87 for all three?
Austin needs to score a 98.
200

A number is increased by 20% and then decreased by 20%.

Is the final number equal to the original? Explain


No, it is less. (Example: 100 → 120 → 96)

200

I am a two-digit number.The sum of my digits is 10.The difference of my digits is 4.64

(6 + 4 = 10, 6 − 4 = 4)What is the number?

64

(6 + 4 = 10, 6 − 4 = 4)

200
2x - 18 = -3x + 27
x = 9
200

A number is multiplied by 3/4 and then 2/5 of the result is subtracted. The final answer is 9/20. What the original number?

1

300

If the side lengths of a triangle are three consecutive odd numbers, and the perimeter is 51 cm, what is the length of the longest side?

The longest side is 19 cm.

300

If three consecutive even numbers have a sum of 84, what is the largest number?

The largest number is 30.

300

A bag contains 3 red, 4 blue, and 5 green balls.One ball is drawn at random.What is the probability that the ball is red or green?

3+5/12= 8/12=2/3

300

7x + 42 = -3x - 28

x = -7

300

Which is greater: 40% of 80 or 32% of 100?

They are equal

400

Neal wants to buy a puppy. He pays $150 up front and then pays $5 every week after for the next year (a year has 52 weeks). How much will he end up paying at the end of the year?

He will pay $410.

400

The length of the Princeton basketball court is five more than twice the width. If the perimeter of the court is 112 meters, how long is the court?

39 length 

400

(x - 5)(x + 3) = 0

x = 5 or x = -3

500
Neal, Austin, and Claire play ball. Austin scores eight more points than Claire, and Claire scores five less than three the number of points as Neal.If they score 89 points total, how many points does Austin score?
42 points
500

If the average of four consecutive even numbers is 49, what are all four numbers?

46, 48, 50, 52

500

x^2 - 9x + 18 = 0

x = 6 or x =3