Perennial Math Competition 7-8

20% of 30% of x is 210. What is x?

(a)  

Tags

CCSS.6.RP.A.3C

How many paths exist from bottom corner X to top corner Y? You may only move to the left, up, or diagonally upward.

(a)  

Consider the sequence of numbers 2, 5, 8, 11, 14..., in which each number increases by 3. What is the 99th number in the sequence?

(a)  

Tags

CCSS.HSF.BF.A.2

Big Spring Café has 19 tables. Some of the tables seat 6 people and some tables only seat 4 people. If a total of 90 people can be seated in the cafe, how many tables seat 6 people?

(a)  

Tags

CCSS.8.EE.C.8C

The average age of the 6 people in room A is 40. The average age of the 4 people in room B is 25. If the people in the two rooms gather together, what is the average age of the 10 people?

(a)  

Tags

CCSS.7.NS.A.3

Of the 500 marbles in a large bowl, 80% are red and the rest are blue. How many of the red marbles must be removed from the bowl so that 75% of the remaining marbles are red?

(a)  

Tags

CCSS.6.RP.A.3C

Cindy chooses a number between 100 and 180. If the number leaves a remainder of 3 when it is divided by 4, 5, and 6, what is her number?

(a)  

Tags

CCSS.4.NBT.B.6

Twelve girls went shopping and spent a total of $57. Julie spends more dollars than all of the other girls combined. Every girl spends a prime number of dollars including Julie. What is the least number of dollars that Julie could have spent?

(a)  

Tags

CCSS.7.EE.B.3

The stadium has 5000 seats. 2/5 of the seats are for season ticket holders. There were 1500 season ticket holders seated and some other seats already full. The stadium was 3/4 full. How many non-season ticket holders were seated?

(a)  

Tags

CCSS.7.EE.B.3

What number goes in the square: 44 + □ = 72 - □

(a)  

Tags

CCSS.1.OA.D.8