Sequences and Series
Logic Problems
Fractions
Decimals
Probability
100

$10, $5, $2.50, ? 

$1.25

100

If Susan is riding her bike, she always wears a helmet. Susan is wearing her helmet. Do we know that Susan is riding her bike? 

No 

100

There are 3 pies and 12 people. What fraction of a pie does each person receive? 

1/4 a pie 

100

IF the price of gas is $3.75 per gallon, what is the cost of 10 gallons?

$37.50

100

If you need to roll one die and get a "5" to win, what is your probability of losing?

5/6

200

66, 55, 44, 33, 22, 11, ?

200

If it is raining, I will get wet if I go outside. I went outside and got wet. Do I know if it was raining when I went outside?

No. It could have been sunny and a friend threw a water balloon. 

200

What is 1/2 of 1/5?

1/10

200

If the size of a gas tank is 16.5 gallons, what is the highest price gas can be and still keep the cost of filling the tank under $100?

$6.06

$99.99/16.6=$6.06

200

If two coins are flipped, what is the probability there will not be two tails? 

3/4

300

1, 4, 9, 16, ?.... What is the 10th number?

100 

300

A cup that is filled with equal parts red, green, and blue spills half of its contents. Enough green dye is then poured into the cup to fill it again. What is the ratio of red to green to blue dye now?

1:4:1 

300

Laura found 32 plates that each had 1/4 of a pie. If Laura put all the pieces of pie into whole pies, how many pies would she have? 

8 pies 

300

346 means 300 + 40 + 6. What does 412.7 mean?

400+10+2+ 7/10

300

IF two dice are rolled, how many ways are there to get a roll of 10?

3

4 and 6

6 and 4

5 and 5

400

1, 3, 7, 15, 31, ?

63

The space between each number is 2, 4, 8, 16, 32..

400

If Tanya eats the box of donuts before she goes to bed, she'll wake up in a fog the next day. If she is in a fog, she will not do well on the SAT test. If she does not do well on the SAT test, she will not get a scholarship to college and will have to pay her own way. Can we conclude if Tanya eats the box of donuts before bed that she will not get a scholarship to college?

Yes 

400

2 1/2 pizzas are going to be divided evenly among 20 people. How much pizza will each person receive?

1/8 pizza

2 1/2 pizzas have five 1/2 pieces. Each 1/2 piece has 4 pieces that are 1/8 each or 20 total pieces. 

400

If a fever of 103.2 drops 2.2 degrees and then rises 4.9 degrees, how many degrees must it drop to return to a normal body temperature? (98.6) 

7.3 degrees 

400

What is the probability of getting two of a kind if you roll two dice?

1/6

First roll can be anything, second roll 1/6 chance of rolling the same number. 

500

2, 3, 5, 7, 11, 13, ?

17

prime numbers

500

A family is taking a cross-country trip of 3000 miles by car. They are bringing two spare tires with them and want all six tires to go an equal distance. How many miles will each tire go?

2000 miles

Because the distance is 3000 miles, there will be a total of 12,000 tire miles (3000 x 4) 

12,000 tire miles / 6 tires = 2000 miles each tire

500

What is 1/2 of 1/3 of 1/4 of 1/2? 

1/48

1/2 of 1/3 = 1/6

1/6 of 1/4 = 1/24

1/24 of 1/2= 1/48

500

If nutmeg is $9.60 per pound, what is the cost of .20 ounces?

12 cents

$9.60/ 16oz in a pound= 60 cents per oz

.2= 2/10 or 1/5 of an oz

60 cents / 5 = 12 cents

500

If you picked 4 cards from a deck of cards, what is the probability that you will pick 4 aces? 

1/270,725