Table of Contents > Cluster 3 > Multiple-choice Items

HSPA Math Macro 3e: Modeling and problem solving with
iterative and recursive patterns

Sample Multiple-choice Items 

A design follows this pattern: a square is divided in half by drawing another square inside of it on a 45 degree rotation. The outer area is then shaded. Then, the unshaded area is divided again in the same manner. Assume that the pattern stays the same, what is the ratio of the shaded area to the unshaded area in Stage 3?

	1:7
	1:9
	1:12
	1:28

Cass has $4,000 that she is saving to buy a $7,000 car. She has decided to invest this money in an investment that will return 12% each year. . She makes no withdrawals but she doesn't deposit any more money. If all of her earnings are reinvested, how many years will it be until she can buy her car? (Assume that the price of $7,000 includes all extras: license plates, taxes, etc.)

	2 years
	4 years
	5 years
	6 years

You have a watch collection of 10 watches. Three of the watches have timers. One beeps every 5 minutes; one beeps every 12 minutes; one beeps every 15 minutes. They just beeped together at 3:00PM. When will they beep together again?

	3:00AM
	3:30PM
	4:00PM
	4:32PM

Your science class’ pet mice Mickey and Minnie just gave birth to 6 babies: 3 males and 3 females. The teacher informs you that the baby mice can breed when they are 6 weeks old and the babies are born 3 weeks later. If each female mouse has a litter of 6 babies, half males and half females, how many mice will you have 12 weeks from now?

	44
	68
	80
	86

NJPEP: Virtual Academy
Designed by the faculty at FDU's School of Education in partnership with the consultants of IDE Corp.