Math Counts Practice Problems

The following equation was written on the chalkboard: Δ + Δ + ◊ + Ꙫ ─ Δ = Ω. If Δ = 4, Ꙫ = 3 and Ω = 12, what is the value of ◊?

(a)  

John takes one step every second, and each step is 33 inches long. How many miles per hour is John walking, given that 5280 feet = 1 mile? Express your answer as a decimal to the nearest thousandth.

(a)  

A map of Wyoming is drawn with a scale of 1/4 inch = 1 mile. On that map, how many inches long would the drawing be of a road that is 10 miles long? Express your answer as a decimal to the nearest tenth.

(a)  

The median of a set of consecutive odd integers is 138. If the greatest integer in the set is 145, what is the least integer in the set?

(a)  

A jar contains only nickels, dimes and quarters. There is at least one of each type of coin in the jar. If the total value of the coins in the jar equals 60 cents, how many quarters are in the jar?

(a)  

After all markdowns and discounts, Charlene’s prom dress cost her $22 before tax. The dress was on a rack labeled “50% off lowest marked price,” and the lowest marked price was already a 75% reduction from the original price. What was the original price of the dress?

(a)  

A Norman window consists of a rectangular region topped by a semi-circular region. How many square feet are in the area of the glass needed to fill the two regions of a Norman window whose rectangular region measures 2 feet by 3 feet, as shown? Express your answer to the nearest whole number.

(a)  

Two rectangular boxes have the same volume. One box is a cube, and the other box has dimensions 8 ft by 4 ft by 16 ft. How many feet long is an edge of the cube?

(a)  

If a standard six-sided die is rolled twice, what is the probability that the second number rolled is not less than the first number rolled? Express your answer as a common fraction.

(a)  

Eight toy camels and three toy pigs cost Gary $85. Twelve toy camels cost Sherry $96. Assuming everyone bought their toys at the same store and there were no discounts, what is the cost of two toy pigs?

(a)