Mathcounts first

If each of the digits 2, 3, 4 6, 7 and 8 is used exactly once to construct two three-digit  numbers (m) and (n) , what is the smallest positive value of the difference of m - n? 

• 39
• 52
• 41
• 63

Tags

CCSS.6.NS.B.3

The sum of Madison's age and 3 times Harper's age is 47 years.  In two years, Madison will be twice as old as Harper.  How old is Harper?

• 12
  12
• 16
• 9
• 14

Tags

CCSS.7.EE.B.3

For how many positive integers containing no digit of zero is the sum of the digits equal to 5?

• 12
• 14
• 16
• 18

Tags

CCSS.HSA.CED.A.3

CCSS.HSS.CP.B.9

The four positive integers P, Q, P + Q, and P-Q are all prime and their sum is S.  What is the value of S?

• 13
• 17
• 25
• 23

Tags

CCSS.7.EE.B.3

How many factors of 2940 are perfect squares?

• 4
• 6
• 8
• 16

Tags

CCSS.6.EE.A.1

The four positive integers P, Q, P + Q, and P-Q are all prime and their sum is S.  What is the value of S?

• 13
• 17
• 25
• 23

Tags

CCSS.HSA.SSE.A.1

Mollie has fewer than 100 pennies.  If she puts the pennies in stacks of five, there are three pennies left over.  If she puts them in stacks of seven, there is one penny left over.  If she puts them in stacks of three, there are no pennies left over.  What is the total number of pennies Mollie has?

• 93
• 84
• 69
• 78

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

How many positive integer factors does 96 have?

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• 12
• 13
• 15

In a survey of 9th graders, 8 students have reported that they have tried a marathon.  Of those eight, 2 reported that they actually completed a marathon.  If 2.5% of the ninth graders surveyed completed a marathon, how many 9th graders were surveyed?

• 92
• 80
• 83
• 556

Tags

CCSS.7.RP.A.3

When (x⁶y⁵z³)² is simplified, what is the sum of the exponents?

• 20
• 24
• 28
• 32

Tags

CCSS.8.EE.A.1