Level 1
On a standard die, opposite faces add up to 7. When Kendra rolls a 6, what number is on the bottom of the die?
1
If a # b = a + 2b for integers a and b, what is the value of 3 # 4?
11
A wheel of Marci’s bike makes 1056 revolutions in 1 mile. To the nearest whole number, what is the number of inches in the diameter of the wheel?
19
The positive integers 1, 3, n, and 120 have the property that the product of any two of them is one less than a perfect square. What is n?
8
How many integers between 20 and 90 are perfect squares?
In the following sequence, what number comes next?
1, 4, 9, …
16
A bag of mixed peanuts and cashews contains two pounds of peanuts that cost $3 per pound and one pound of cashews that costs $6 per pound. How much should the bag of mixed peanuts and cashews cost?
$12
A survey of 2000 shoppers showed that 1400 shop at M-Mart, 850 shop at Glen Valley Market and 390 shop at both stores. What percent of the shoppers do not shop at either store?
7%
A sequence is formed by adding 2 to the triple of the previous term. If the 1st term is 1, what is the sum of the first 3 terms of this sequence?
23
What is the 453rd digit to the right of the decimal point in the decimal expansion of 6/13?
1
Each pack of markers contains 11 markers. If Brian has 8 packs and Collette has 10 packs, how many more markers does Collette have?
22
What is the result when the sum of fifteen and ninety is divided by the positive difference of thirty-eight and twenty-three?
7
Matt received change totaling $1.85 in nickels, dimes and quarters. He received at least one coin of each type. What is the least number of coins he could have received?
10
The ratio of the height of a parallelogram to its base is 3 : 5. If the area of the parallelogram is 135 mm2, what is the length of its base?
15
The nth term of a sequence is 2n + 3 for all counting numbers n. What is the arithmetic mean of the first five terms of the sequence?
9
In the 6th grade, 2 out of every 7 girls do not play a sport. There are 21 girls in the 6th grade. How many play a sport?
15
What is the sum of the largest and smallest prime factors of 990?
13
Rich invested $100 seven years ago. Since then his investment has doubled in value to $200. If Rich’s money continues to double every seven years, how many years will it take his $200 to grow to $1600?
21
Using pennies, nickels, dimes and quarters, what is the least number of coins needed to make 68 cents in change?
19
A rectangular floor measuring 10 feet by 12 feet is tiled with one-foot square tiles. Through how many tiles would the diagonal of this rectangle pass?
20
Kelly and Micah each have a pile of coins. The piles are the same, except Kelly has 1 more quarter and Micah has 1 more dime and 2 more pennies. How many more cents does Kelly have?
13
A polygon has n sides and has n diagonals. What is n?
5
If two integers have an arithmetic mean of 7 and a product of 45, what is the positive difference between the two integers?
4
What is the remainder when the product 1734 × 5389 × 80,607 is divided by 10?
2
The express train from Addington to Summit travels the 18-mile route at an average speed of 72 mi/h, stopping only in Summit. The local train stops for 1.5 minutes at each of 6 stops between these two locations, and it averages 54 mi/h while it is in motion. How many minutes more does the local train take for this trip than the express train?
14