AMC 8 2020 Drill 1 (2K)

AMC 8 2020 Drill 1 (2K)

Multiple Choice

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

• 15

• 16

• 17

• 21

• 37

Multiple Choice

Which of these numbers is less than its reciprocal?

• -2

• -1

• 0

• 1

• 2

Multiple Choice

How many whole numbers lie in the interval between  $\frac{5}{3}$ and $2\pi$ ?

• 2

• 3

• 4

• 5

• infinitely many

Multiple Choice

In 1960 only 5% of the working adults in Carlin City worked at home. By 1970 the "at-home" work force had 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:

Multiple Choice

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

Multiple Choice

Figure ABCD is a square. Inside this square three smaller squares are drawn with the side lengths as labeled. The area of the shaded L-shaped region is

• 7

• 10

• 12.5

• 14

• 15

Multiple Choice

What is the minimum possible product of three different numbers of the set {-8, -6, -4, 0, 3, 5, 7} ?

• -336

• -280

• -210

• -192

• 0

Multiple Choice

Three dice with faces numbered 1 through 6 are stacked as shown. Seven of the eighteen faces are visible, leaving eleven faces hidden (back, bottom, between). The total number of dots NOT visible in this view is

• 17

• 21

• 30

• 41

• 55

Multiple Choice

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

Multiple Choice

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

• 48

• 51

• 52

• 54

• 55

Multiple Choice

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

• 15

• 16

• 17

• 18

• 20

Multiple Choice

A block wall 100 feet long and 7 feet high will be constructed using blocks that are 1 foot high and either 2 feet long or 1 foot long (no blocks may be cut). The vertical joins in the blocks must be staggered as shown, and the wall must be even on the ends. What is the smallest number of blocks needed to build this wall?

• 344

• 347

• 350

• 353

• 356

Multiple Choice

• 36^o

• 54^o

• 72^o

• 90^o

• 108^o

Multiple Choice

What is the units digit of 19¹⁹ + 99⁹⁹ ?

• 0

• 1

• 2

• 8

• 9

Multiple Choice

• 12

• 13

• 15

• 18

• 21

Multiple Choice

In order for Mateen to walk a kilometer (1000m) in his rectangular backyard, he must walk the length 25 times or walk its perimeter 10 times. What is the area of Mateen's backyard in square meters?

• 40

• 200

• 400

• 500

• 1000

Multiple Choice

Multiple Choice

Consider these two geoboard quadrilaterals. Which of the following statements is true?

Multiple Choice

Multiple Choice

You have nine coins: a collection of pennies, nickels, dimes, and quarters having a total value of $1.02, with at least one coin of each type. How many dimes must you have?

• 1

• 2

• 3

• 4

• 5

Multiple Choice

Keiko tosses one penny and Ephraim tosses two pennies. The probability that Ephraim gets the same number of heads that Keiko gets is

• $\frac{1}{4}$

• $\frac{3}{8}$

• $\frac{1}{2}$

• $\frac{2}{3}$

• $\frac{3}{4}$

Multiple Choice

A cube has edge length 2. Suppose that we glue a cube of edge length 1 on top of the big cube so that one of its faces rests entirely on the top face of the larger cube. The percent increase in the surface area (sides, top, and bottom) from the original cube to the new solid formed is closest to

• 10

• 15

• 17

• 21

• 25

Multiple Choice

There is a list of seven numbers. The average of the first four numbers is 5,  and the average of the last four numbers is 8. If the average of all seven numbers is  $6\frac{4}{7}$ , then the number common to both sets of four numbers is 

•  $5\frac{3}{7}$  

• 6

•  $6\frac{4}{7}$  

• 7

•  $7\frac{3}{7}$  

Multiple Choice

If $\angle A\ =\ 20\degree$  and  $\angle AFG\ =\ \angle AGF$ , then  $\angle B\ +\ \angle D\ =$  

•  $48\degree$  

•  $60\degree$  

•  $72\degree$  

•  $80\degree$  

•  $90\degree$  

Multiple Choice

The area of rectangle ABCD is 72 units squared. If point A and the midpoints of  $\overline{BC}$  and  $\overline{CD}$  are joined to form a triangle, the area of that triangle is

• 21

• 27

• 30

• 36

• 40