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Question bank AMC8 1988

Exam papers

25 questions

Question 1

The diagram shows part of a scale of a measuring device. The arrow indicates an approximate reading of

Question illustration
  1. $10.05$
  2. $10.15$
  3. $10.25$
  4. $10.3$
  5. $10.6$

Question 2

What is the product $8 \times 0.25 \times 2 \times 0.125?$
  1. $\dfrac{1}{8}$
  2. $\dfrac{1}{4}$
  3. $\dfrac{1}{2}$
  4. $1$
  5. $2$

Question 3

The value of

$$
\dfrac{1}{10} + \dfrac{2}{20} + \dfrac{3}{30}
$$

is
  1. $0.1$
  2. $0.123$
  3. $0.2$
  4. $0.3$
  5. $0.6$

Question 4

The figure consists of alternating light and dark squares. The number of dark squares exceeds the number of light squares by

Question illustration
  1. $7$
  2. $8$
  3. $9$
  4. $10$
  5. $11$

Question 5

If $\angle CBD$ is a right angle, then this protractor indicates that the measure of $\angle ABC$ is approximately

Question illustration
  1. $20^\circ$
  2. $40^\circ$
  3. $50^\circ$
  4. $70^\circ$
  5. $120^\circ$

Question 6

The value of

$$
\dfrac{(0.2)^3}{(0.02)^2}
$$

is
  1. $0.2$
  2. $2$
  3. $10$
  4. $15$
  5. $20$

Question 7

The expression $2.46 \times 8.163 \times (5.17 + 4.829)$ is closest to
  1. $100$
  2. $200$
  3. $300$
  4. $400$
  5. $500$

Question 8

Betty used a calculator to find the product $0.075 \times 2.56.$ She forgot to enter the decimal points. The calculator showed $19200.$ If Betty had entered the decimal points correctly, the answer would have been
  1. $0.0192$
  2. $0.192$
  3. $1.92$
  4. $19.2$
  5. $192$

Question 9

An isosceles triangle is a triangle with two sides of equal length. How many of the five triangles on the square grid below are isosceles?

Question illustration
  1. $1$
  2. $2$
  3. $3$
  4. $4$
  5. $5$

Question 10

Chris’ birthday is on a Thursday this year. What day of the week will it be $60$ days after her birthday?
  1. Monday
  2. Wednesday
  3. Thursday
  4. Friday
  5. Saturday

Question 11

The value of $\sqrt{164}$ is
  1. $42$
  2. less than $10$
  3. between $10$ and $11$
  4. between $11$ and $12$
  5. between $12$ and $13$

Question 12

Suppose the estimated $20$ billion dollar cost to send a person to the planet Mars is shared equally by the $250$ million people in the U.S. Then each person’s share is
  1. $\$40$
  2. $\$50$
  3. $\$80$
  4. $\$100$
  5. $\$125$

Question 13

If rose bushes are spaced about $1$ foot apart, approximately how many bushes are needed to surround a circular patio whose radius is $12$ feet?
  1. $12$
  2. $38$
  3. $48$
  4. $75$
  5. $450$

Question 14

If $\diamond$ and $\triangle$ are whole numbers and $\diamond \times \triangle = 36,$ the largest possible value of $\diamond + \triangle$ is
  1. $12$
  2. $13$
  3. $15$
  4. $20$
  5. $37$

Question 15

What is the reciprocal of $\left(\dfrac{1}{2} + \dfrac{1}{3}\right)?$
  1. $\dfrac{1}{6}$
  2. $\dfrac{2}{5}$
  3. $\dfrac{6}{5}$
  4. $\dfrac{5}{2}$
  5. $5$

Question 16

Placing no more than one X in each small square, what is the greatest number of X’s that can be put on a $3 \times 3$ grid without getting three X’s in a row vertically, horizontally, or diagonally?

Question illustration
  1. $2$
  2. $3$
  3. $4$
  4. $5$
  5. $6$

Question 17

The shaded area is formed by two intersecting perpendicular rectangles, with dimensions as shown. Its area, in square units, is

Question illustration
  1. $23$
  2. $38$
  3. $44$
  4. $46$
  5. unable to be determined from the information given

Question 18

The average weight of $6$ boys is $150$ pounds and the average weight of $4$ girls is $120$ pounds. The average weight of the $10$ children is
  1. $135$ pounds
  2. $137$ pounds
  3. $138$ pounds
  4. $140$ pounds
  5. $141$ pounds

Question 19

What is the $100$th number in the arithmetic sequence $1,$ $5,$ $9,$ $13,$ $17,$ $21,$ $25,$ $\ldots?$
  1. $397$
  2. $399$
  3. $401$
  4. $403$
  5. $405$

Question 20

The glass gauge on a cylindrical coffee maker shows there are $45$ cups left when the coffee maker is $36\%$ full. How many cups of coffee does it hold when it is full?

Question illustration
  1. $80$
  2. $100$
  3. $125$
  4. $130$
  5. $262$