MATH (Beginning of Year)

Order of Operations

100

6 + 9 ÷ 3

6 + 3

9

200

(6 + 9) ÷ 3

15 ÷ 3

5

300

6² + 9 ÷ 3 - 2

36 + 9 ÷ 3 - 2

36 + 3 - 2

39 - 2

37

400

6² + 9 ÷ (3 - 2) x 2

6² + 9 ÷ 1 x 2

36 + 9 ÷ 1 x 2

36 + 9 x 2

36 + 18

54

500

1,111 + 1,111 x 1,111 - 1,111

1,111+1,234,321-1,111

1,235,432-1,111

1,234,321

Fractions

100

Two fifths times five halves. 

1

200

What is the reciprocal of 2/5?

five halves 

300

2/5 divided by 2/5.

1

400

1 2/3 + 2 3/4

4 5/12

500

three and two fifths minus one and one half

one and nine tenths. 

Decimals

100

2.5 + 3.1

5.6

200

1.3 - .2

1.1

300

1.1 x 4.5

4.95

400

125 ÷ .25

500

500

2.3 + .7 x .3

2.3 + .21

2.51

Logic Puzzles

100

Sally is 6 years older than Jane. Phil is twice my age and three times Jane's age. I am 9. How old is Sally?

I am 9

Phil is 18

Jane is 6

Sally is 12

200

I have piano every 4 days and dance every 6 days. Today I have both. In how many days will I have both again?

12 days

300

&+&+$=4

$+#+$=7

#+#+#=9

What does &=?

#=3

$=2

&=1

400

All the numbers must add up to 10 going across, down, and diagonal. Which two numbers do you need to switch to make this true? 

1 2 3 4

3 4 2 1

2 1 4 3

3 4 1 2 

1 2 3 4 

3 4 2 1 

2 1 4 3 

3 4 1 2 

500

There is a farmer with a sheep, a wolf, and a bag of straw on one side of the river. They must all make it safely to the other side with a row boat only big enough for the farmer and one object. The sheep can not be left alone with the bag of straw and the wolf can not be left alone with the sheep. How will you get everyone across?

The farmer will first take the sheep across and go back for the wolf. He will bring the sheep back and take over the straw and go back for the sheep. 

Algebra

100

Solve.

2 + x=?

x=3

5

200

Solve.

a + b + c=

a=2

b=5

c=1

8

300

Solve.

ab + c

a=2

b=3

c=4

10

400

Solve.

x + 2=5

x=?

3

500

Solve for Y.

Y+5 x 2=2Y+5

Y + 10=2Y+5

-Y        -Y    

10=Y + 5

-5       -5

5=Y