Decimals
Divisibility
Negative Numbers
Percents
Olympiad
100
0.25 * 0.6
0.15
100
How many factors does 102 have?
8 factors:
(1, 102) (2, 51) (3, 34) (6, 17)
100
5 + -3
2
100
What is 0.68 as a percent?
68%
100
Simplify:
(100 + 52 + 64 + 58 + 324 + 223 + 12) - (320 + 16 + 58 + 64 + 52 + 323)
0
200
0.66/0.32 + 3.2
2.0625 + 3.2 = 5.2625
200
Name 4 factors greater than 1 but less than 10 of the following number:
500,505,005,532
2, 3, 4, 6
200
-25 x -5
125
200
What is 10% of 200?
20
200
Simplify the fraction
1/(1+3/4)
1/(1+ 3/4) = 1/(7/4) = 1/1 * 4/7 = 4/7
300
0.042/0.07 * 0.5
0.3
300
Name 3 whole numbers greater than 1 that are factors of the following number:
192,348,238,523,345,064
2, 4, 8
For 4: Look at the last two digits
For 8: Look at the last three digits
300
-100 + 5
-95
300
What is 205.6% as a decimal?
2.056
300
Find the sum:
(2 + 4 + 6 + .... + 304 + 306 + 308)
(2 + 4 + 6 + .... + 304 + 306 + 308) =
2(1 + 2 + 3 + ... + 152 + 153 + 154) =
2(155)(77) = 310 x 77 = 23870
--> 77 pairs of 155
400
(0.2 * 0.25)/0.62 * (0.62)/0.5
Cross-simplify to get:
(0.2 * 0.25)/1 * (1)/0.5 = (0.05)/0.5 = 5/50 = 1/10 = 0.1
400
Name 3 whole numbers greater than 2 that are factors of this number:
9,999,999,999,999,999,999,999,999,999,999,108
3, 9, 18
400
-4 + 6 x -5
-4 + -30 = -34
400
What is 15% of 60?
9
400
Michael started with 5 times as many dollars as Isabella. After Michael gives Isabella $36, Isabella has twice as much money as Michael. How many dollars did Michael start with?
500
(6.23)/(2.3 + 10.16) + 7.5
6.23/12.46 + 7.5 = 0.5 + 7.5 = 8
500
162 is divisible by 3x. What is the largest value x can be?
Make a factor tree to see that:
162 = 3 x 3 x 3 x 3 x 2 = 34 x 2
So x = 4, since 162 is divisible by 34
500
(-100 * -9)/-50 + 5
900/-50 + 5 = -18 + 5 = -13
500
If 62 is 20% of a number, what is the number?
62 x 5 = 310 is the number
500
Simplify the fraction
(1/(1 + 1/(1+1)))/(1+1)
(1/(1+1/2))/2 =(1/(3/2))/2 = (2/3)/2 = 2/3 * 1/2 = 1/3