Working Backwards
MCA Sampler Questions
Crunch the Numbers
Find the 43rd Term
Grab Bag
100
Some candies are in a bowl.  Sam walks by and takes 5.  Siham takes half of the candies, leaving 14.  How many were in the bowl before Sam and Siham came by?

33

100

A basketball player earned 19 points during a game. He earned 2 points for each regular shot made and 3 points for each long shot made. If he made more 2-point shots than 3-point shots, how many 3-point shots did he make?

He made five 2-point shots.

100

66 x 8 =

528

100

How many squares in Drawing 1

1849 squares

100

I am a number.  My value is a multiple of six. My tens digit is twice my ones digit. My value is greater than 5 to the 2nd power.  My value is less than 8 squared.  My value is not a square number.  What number am I?

42

200

See Problem B

8
200

A teacher divides 30 students into groups to do a science experiment. The same number of students are in each group. Each group needs 4 magnets to do the experiment. The teacher has 26 magnets. What is the fewest number of students the teacher puts into each group?

5 students

200

45 x 39 =

1,755

200

How many puppies in Drawing 2

85 puppies

200

See Problem A

A and D are the same length.

300

Sanika delivered a total of 126 papers each week and she runs her route 7 days per week.  Each weekday delivery is the same number of papers, as is each weekend deliver.  If the number of papers she delivers on Wednesday is double the number she delivers on Sunday, how many papers does she deliver on Monday?

14

300

At a football game, a total of 756 adult and student tickets were sold. There were 209 adult tickets sold. How many more student tickets were sold than adult tickets?


338

300

2,688 divided by 7 equals...

384

300

How many snowflakes in Drawing 3

132 snowflakes

300
At a coffee bar, customers can choose from three brews: light, medium or dark.  They can add plain cream, flavored cream or no cream.  Finally, they can have their coffee with sugar or without.  How many different combinations can a customer make with one cup of coffee?

18 different combinations

400

A loaf of bread is served at a restaurant.  Owen eat 3 slices of it before the food arrives.  Then Nico eats 2/5 of the loaf during dinner.  If 6 slices are left after the mea, how many slices of bread did the original loaf contain?

13 slices

400

Mary has 36 coins in an album. Some of the album pages hold 4 coins, and some of the album pages hold 6 coins. All the pages in the album are filled with coins, and there are more pages with 4 coins than pages with 6 coins, how many pages are in Mary’s album?

8 pages

400

12,125 divided by 97 equals...

125

400

How many footballs in Drawing 4

946 footballs

400

See Problem C

8

500

A candy bowl has some number of candies.  Frankie stops by and takes 7.  Then Gitta takes 1/5 of the candies.  Along comes Hans, who takes 1/3.  Finally, Isla takes 1/2.  If 16 candies remain in the bowl, how many were there before Frankie took his?

67

500

Marta sold tickets to a play on Monday and Tuesday. Tickets cost $20 per student and $25 per adult. On Monday, she sold 4 student tickets and 2 adult tickets. By the end of Tuesday, she had sold a total of $230 in tickets. If she sold more total adult tickets than student tickets, how many adult tickets did she sell in all?

6 adult tickets

500

24 x 2/3 =

16

500

How many toothpicks in Drawing 5

2,838 toothpicks

500

If you add up all the whole numbers between 1 and 1000, what total do you get?

500500