- Algebra
around the world
- These
algebra problems were given to many 13 year olds around
the world.
-
- I1.
Brad wanted to find three consecutive whole numbers that
add up to 81. He wrote the equation (n - 1) + n + (n + 1)
= 81. What does the n stand for?
- A. The least of the
three whole numbers
- B. The middle whole
number
- C. The greatest of
the three whole numbers
- D. The difference
between the least and greatest of the three whole numbers
-
- I4.
The numbers in the sequence 2, 7, 12, 17, 22, …
increase by fives. The
- numbers
in the sequence 3, 10, 17, 24, 31, … increase by
sevens. The
- number
17 occurs in both sequences. If the two sequences are
continued,
- what
is the next number that will be seen in both sequences?
- Answer:___________________________
-
- J18.
The table represents a relation between x and y.
- What
is the missing number in the table?
- A. 2
- B. 3
- C. 4
- D. 5
- E. 6
- x y
- 1 1
- 2 ?
- 4 7
- 7 13
- J-18
- Can you
answer these three?
-
- K4. x
- 2 < 7 is
equivalent to
- A. x < 7
- 2
- B. x < 5
- C. x < 14
- D. x > 5
- E. x > 14
- K-4
-
- L11. A rubber ball
rebounds to half the height it drops. If the ball is
dropped from
- a rooftop 18 m above
the ground, what is the total distance traveled by the
- time it hits the
ground the third time?
- A. 31.5 m
- B. 40.5 m
- C. 45 m
- D. 63 m
- L-11
-
- L13. These shapes are
arranged in a pattern.
- Which set of shapes
is arranged in the same pattern?
- A.
- B.
- C.
- D.
- L-13
-
- L16. Find x if 10x
– 15 = 5x + 20
- Answer:
____________________________________
- L-16
-
- N13. If x = 2, what
is the value of 7x + 4
- 5x –4 ?
- Answer:_____________________________
-
- O7. If 3(x + 5) = 30,
then x =
- A. 2
- B. 5
- C. 10
- D. 95
-
- P10. If m represents
a positive number, which of these is equivalent to
- m + m + m + m ?
- A. m +4
- B. 4m
- C. m 4
- D. 4(m +1)
-
- P15. Which of these
expressions is equivalent to y 3 ?
- A. y + y + y
- B. y ´ y ´ y
- C. 3y
- D. y 2 + y
-
- Q1. Juan has 5 fewer
hats than Maria, and Clarissa has 3 times as many hats as
- Juan. If Maria has n
hats, which of these represents the number of hats that
- Clarissa has?
- A. 5 – 3n
- B. 3n
- C. n – 5
- D. 3n – 5
- E. 3(n – 5)
-
- Q2. Subtract: 2x
- 9 - x
- 9 =
- A. 1
- 9
- B. 2
- C. x
- D. x
- 9
- E. x
- 81
-
- Q7. P = LW. If P = 12
and L = 3, then W is equal to
- A. 3
- 4
- B. 3
- C. 4
- D. 12
- E. 36
-
- R9. Which one of the
following is FALSE when a, b, and c are different real
- numbers?
- A. (a + b) + c = a +
(b + c)
- B. ab = ba
- C. a + b = b + a
- D. (ab)c = a(bc)
- E. a – b = b
– a
-
- R11. A group of
students has a total of 29 pencils and everyone has at
least one
- pencil. Six students
have 1 pencil each, 5 students have 3, and the rest have
2.
- How many students
have only 2 pencils?
- A. 4
- B. 6
- C. 8
- D. 9
-
- T1. There are 54
kilograms of apples in two boxes. The second box of
apples
- weighs 12 kilograms
more than the first. How many kilograms of apples are
- in each box? Show
your work.
-
- vii
- I09 Color of card
drawn from bag.
- J13 Number of
students per grade.
- K07 Number of blue
pens in drawer?
- L10 Highest
temperature on chart.
- M03 Chance of picking
red marble.
- N18 Probability of
even numbered chip.
- O01 Speed of car from
graph.
- O05 Number of red
faces.
- P17 Temperature on
table and thermometers.
- Q04 Heights of four
girls on graph.
- R08 Distance car will
travel.
- V02 Price of renting
office space.
- Algebra
- I01 What does N stand
for?
- I04 Number sequence.
- J18 Number missing
from table.
- K04 x/2 < 7 is
equivalent to…
- L11 Total distance
traveled by ball.
- L13 Shapes in a
pattern.
- L16 Solve for x.
- N13 Substitute for x.
- O07 Solve for x.
- P10 Equivalent
algebraic expressions.
- P15 Equivalent
algebraic expression.
- Q01 Expression
representing number of hats.
- Q02 Substraction of
algebraic expressions.
- Q07 Solve for W.
- R09 False algebraic
expression.
- R11 Number of
students with two pencils.
- S01A Sequence of
triangles (a).
- S01B Sequence of
triangle (b).
- T01A Weight of apples
(a).
- T01B Weight of apples
(b).
- Proportionality
- L14 Missing values in
proportionality table.
- M06 Number of girls
in class.
- Q05 More boys or
girls in class.
- R14 Amount Sue paid.
- T02A Larger pattern
out of two smaller patterns (a).
- T02B Larger pattern
out of two smaller patterns (b).
- V03 Ratio of red
paint to total amount of paint.
-
- Mathematics
Achievement in the Middle School Years: IEA’s Third
International Mathemat-ics
- and Science Study.
Beaton, A.E., Mullis, I.V.S., Martin, M.O., Gonzalez,
E.J., Kelly,
- D.L., and Smith, T.A.
Chestnut Hill, MA: Boston College, 1996.
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