JUNIOR MISE TEST ONE

Aunt Anna is 42years old. Caitlin is 5years younger than Brianna, and Brianna is half as old as Aunt Anna. How old is Caitlin?

• 15

• 16

• 17

• 21

• 37

Which of these numbers is less than its reciprocal?

• −2

• −1

• 0

• 1

• 2

How many whole numbers lie in the interval between 5/3 and 2π?

• 2

• 3

• 4

• 5

• infinitely many

In 1960 only 5% of the working adults in Carlin City worked at home. By 1970 the ”at-home” work force increased to 8%. In 1980 there were approximately 15% working at home, and in 1990 there were 30%. The graph that best illustrates this is

• (A)

• (B)

• (C)

• (D)

• (E)

Each principal of Lincoln High School serves exactly one 3-year term. What is the maximum number of principals this school could have during an 8-year period?

• 2

• 3

• 4

• 5

• 8

Three-digit powers of 2 and 5 are used in this ”cross-number” puzzle. What is the only possible digit for the outlined square?

• 0

• 2

• 4

• 6

• 8

Ara and Shea were once the same height. Since then Shea has grown 20% while Ara has grow half as many inches as Shea. Shea is now 60 inches tall. How tall, in inches, is Ara now?

• 48

• 51

• 52

• 54

• 55

The number 64 has the property that it is divisible by its units digit. How many whole numbers between 10 and 50 have this property?

• 15

• 16

• 17

• 18

• 20

In triangle CAT, we have ∠ACT=∠ATC and ∠CAT= 36◦. If TR bisects ∠ATC, then ∠CRT=

• 36◦

• 54◦

• 72◦

• 90◦

• 108◦

What is the units digit of 19¹⁹ + 99⁹⁹?

• 0

• 1

• 2

• 8

• 9