Points on a Line

Points A, B, C, and D are on a line. They are not necessarily in that order. Point A is between B and C. Point B is between A and D. Point D is to the left of Point C. List the points in order from left to right.

Watches

Two watches are set correctly at 7:00 AM. One watch gains 3 minutes every two hours. The other watch loses 1 minute every two hours. At what time the next day will the faster watch be exactly one our ahead of the slower watch? (Indicate AM or PM.)

Sums of Rows

All three horizontal rows of the grid have the same sum after just two numbers are exchanged. What are the two numbers that are exchanged?

16      8      22
23      4      12
11     27     15

Jeffrey's chores

Each day Jeffrey earns $3 for doing certain chores. He can earn $5 instead by also doing additional chores. After ten days of doing chores, Jeffrey has earned a total of $36. On how many of these days did Jeffrey do additional chores?

Ashley spills

A four-digit number is written on a piece of paper. Ashley spills whiteout on it. Now the last two digits are no longer visible:   8 6 ? ?     The four-digit number is divisible by three, by four, and by five. Find the four-digit number.

Area of Rectangles

Each of the interior rectangles is a square. If square D is 81 square units and square C is 64 square units, what is the area of the other seven squares? What is the area of the entire figure? What is the perimeter of the entire figure?

Difference of Sequences

This one is tough...the next problem will be Monday.
Sequence A is 20, 30, 40, ...
Sequence B is 20, 10, 0, ...
What is the difference between the 26th term of sequence A and the 26th term of sequence B.

Secret Number

Hannah gives clues about her six-digit secret number:

• clue 1- It is the same number if you read it from right to left.
• clue 2- The number is a multiple of 9.
• clue 3- Cross off the first and last digits. The only prime factor of the remaining four digit number is 11.

What is Hannah's six digit number?

Prime Time

A digital clock shows 2:35. This is the first time after midnight when all three digits are different prime numbers. What is the last time before noon when all three digits on the clock are unique prime numbers?

Adding to 15

The only way that 10 can be written as the sum of 4 different counting numbers is 1+2+3+4. In how many different ways can 15 be written as the sum of 4 different counting numbers?

Prime Dice

Here is a problem that may require paper and pencil...

--> In how many ways can two standard six sided dice, one red and one white, be rolled to yield a sum that is a prime number?

Consecutive Sums

Find 3 consecutive multiples of 7 whose sum is 210.