Sample math WASL questions
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Math
Practice Problems for High School in Number Sense HSN-131)
Answer: A Venn diagram clearly reveals Carla's error. Many of the students who
were accepted into State Univ. were also accepted into Temple Tech. Carla might
have been among those applicants who were rejected by both schools. During
the morning senior assembly, Mr. Carter, the school principal, announced that he
had good news for the group. He told the students that he has just been informed
that 50 percent of those who applied for admission into State University have
been accepted. Also, 50 percent of those who applied to Temple Tech have also
been accepted. Carla turned to her friend Marcie and said, "Great! I've
been accepted I applied to both schools, and 50 percent +50 percent is 100
percent, so I'm in!" Analyze the action. Is Carla correct? Defend your
decision. Explain
your answer in detail. HSN-130)
Answer:
Store A On
the boardwalk at the shore, there are three stores within a block of one
another. On the first day of the season, each store had a sign advertising a
sale on gold chains. Store A offered a 70 percent discount plus an additional 10
percent discount for cash. Store B offered a 60 percent discount plus an
additional 20 percent discount for cash. Store C accepted cash only, and offered
a 2/3 discount. Amy wanted to buy a 26-inch gold chain. If you were Amy, from
which store would you buy the chain? What would you do? Defend your decision.
Explain your
answer in detail. HSN-129)
Answer: 20 There
are four boys and five girls standing outside the new record shop. The sign in
the window offers a prize to every couple (one boy and one girl) that enters the
store. How many prizes can the nine people get?
Explain your
answer in detail. HSN-128)
Answer:
Save $911 by itemizing. Mr.
Ryan's total income was $53,750. His deductions were as follows: Contributions-$
856; Mortgage Interest-$1250; Deductible Taxes-$2630; Casualty Losses-$1550 Mr.
Ryan can either take the standard deduction of 10 percent, or he can itemize his
deductions. Which method gives the larger deduction and by how much?
Explain your
answer in detail. HSN-127)
Answer:
Wednesday HSN-126)
Answer:
Four ways, if you require 3 distinct numbers: 1x2x12, 1x3x8, 1x4x6, and 2x3x4.
Two more with duplication: 1x1x24, and 2x2x6. HSN-125)
Answer:
A=1, B=4,
C=9
HSN-124)
Answer:
13 HSN-123)
Answer:
18 HSN-122)
Answer:
45 HSN-121)
Answer:
13 HSN-120)
Answer:
8 HSN-119)
Answer:
1936 HSN-118)
Answer:
625 and 16. HSN-117)
Answer:
B=1, A=9,
C=8
A A HSN-116)
Answer:
60 HSN-115)
Answer:
A=4, B=7,
C=5 HSN-114)
Answer:
A=5, B=6 HSN-113)
Answer:
2 1/6 HSN-112)
Answer:
24, 25, 26 HSN-111)
Answer:
10
HSN-110)
Answer:
239 HSN-109)
Answer:
1296
HSN-108)
Answer:
5 HSN-107)
Answer:
7521 HSN-106)
Answer:
43 HSN-105)
Answer:
N=1, M=25 M
x N
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2,
3, 5, 7, 11, ... are examples of prime numbers; each number has only itself and
I as factors. Suppose the number of units in each of the length and width of a
rectangle are prime numbers and the perimeter is 36 units. What is the largest
number of square units the area could have? Explain
your answer in detail.
HSN-98)
Answer:
$240
A
bus was rented at a fixed cost by a group of 30 people. When 10 people were
added to the group, the fixed cost of the bus did not change, but the charge for
each person in the original group was $2 less than before. If each person paid
the same charge as each of the others, find the fixed cost of renting the bus.
Explain your
answer in detail.
HSN-97)
Answer:
55
Suppose
3! means 3x2xl, 4! means
4x3x2xl, 5! means 5x4x3x2xl,
and so forth. What is the value of the expression below in simplest form?
Explain your
answer in detail.
8!
– 6!
3!
X 5!
HSN-96)
Answer:
3980
Given
the expression: 1990 x 1991 - 1989 x 1990. What counting number is equivalent to
the expression? Explain
your answer in detail.
HSN-95)
Answer:
315
Find
the largest factor of 2520 that is not divisible by 6.
Explain your
answer in detail.
HSN-94)
Answer:
A=1, B=8, C=5
A,
B, and C represent different digits, C ¹
0 and a blank space may represent any digit in the division problem below. What
digits do A, B, and C each represent? Explain
your answer in detail.
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The
three-digit number 104 has a digit-sum of 1+0+4, or 5. How many different
three-digit numbers, including 104, each have a digit-sum of 5?
Explain your
answer in detail.
HSN-92)
Answer: The students took a quarter of what was left in the room, rather than a
quarter of the original total. 0 in
1st group; 12 in 2nd; 28 in 3rd; and 37 in 4th
(so Mitch found 81caps). Perhaps
“pick up 64 caps” instead of “pick up ¼ of the caps.”
For
the senior class trip, the faculty sponsor ordered 256 caps, one for each
student. The class is divided into four sections, each with the same number of
students. When the caps arrived at the school, the sponsor asked each of the
four section representatives to pick up 1/4 of the caps from the supply room and
distribute them to the students in their section. Renee arrived first and took
one-quarter of the caps. Brad arrived one period later and took one-quarter for
his section. Carol arrived an hour later and took one-quarter of the caps for
her section. Mitch arrived at the end of the day and took one-quarter of the
caps for his section. The following morning, Mrs. Johnson, the sponsor, was
surprised to find caps left in the storeroom. In addition, students from three
of the sections kept coming in to complain that they did not receive a cap. What
was wrong? How many in each group did not get a cap? How would you have avoided
the problem? Defend your decision.
Explain your
answer in detail.
Suppose
you enter an elevator at a certain floor. Then the elevator moves up 6 floors,
down 4 floors, and up 3 floors. You are then at floor 7. At which floor did you
initially enter the elevator? Explain
your answer in detail.
HSN-90)
Answer:
11
A
"Magic Square" has the property that the sum of the three numbers in
each and every row, column, and diagonal is the same. What number should be in
the center box of the Magic Square shown below?
Explain your
answer in detail.
| 9 | 17 | |
| 19 | ? | 3 |
| 15 |
HSN-89)
Answer:
342
To
write the counting numbers from 10 to 12 inclusive, we would write 10, 11, 12,
and observe that a total of 6 digits is written. We then actually write the
counting numbers from 1 to 150 inclusive. What is the total number of digits
that must be written? Explain
your answer in detail.
HSN-88)
Answer:
16
How
many even numbers between 1 and 101 are multiples of 3?
Explain your
answer in detail.
HSN-87)
Answer:
25, 32,
64, 81
(D A
C B)
The
product 7x7 may be written as 72, 6x6x6 as 63, and 5x5x5x5
as 54. Let A = 25, B = 34, C = 43,
and D = 52. Write A, B, C, and D in order of their values beginning
with the smallest value at the left. Explain
your answer in detail.
HSN-86)
Answer:
9
(1,1,9)
is a triple of natural numbers whose sum is 11. We consider (1, 1,9), (1,9, 1)
and (9, 1, 1) to be the same triple because each triple has the same three
numbers. How many other triples of natural numbers have a sum of 11?
Explain your
answer in detail.
HSN-85)
Answer:
259
In
the subtraction problem below, all five of the digits 3, 5, 6, 7, and 9 are to
be placed, one in-each box. What is the smallest difference that can be the
result? Explain
your answer in detail.
HSN-84)
Answer:
24
A
natural number N has a remainder of 3 when divided by 7 and also has a remainder
of 4 when divided by 5. What is the smallest value N can have?
Explain your
answer in detail.
HSN-83)
Answer:
270
There
is an even number between 200 and 300 that is divisible by 5 and also by 9. What
is that number? Explain
your answer in detail.
HSN-82)
Answer:
7
A
group of 30 bikers went on a trip. Some rode bicycles and the others rode
"tandems". (A tandem is a bicycle that is ridden by 2 people at the
same time.) If the total number of bicycles and tandems was 23, how many tandems
were used?
HSN-81)
Answer:
8 teachers
A
school has 90 children. During the day, each child attends 4 classes. Each class
has 15 children and 1 teacher. During the day, each teacher teaches 3 classes.
What is the smallest number of teachers the school can have? Explain
your answer in detail.
HSN-80)
Answer:
10390
In
the addition problem below, different letters stand for different digits. What
five-digit number does S E R V E represent? Explain
your answer in detail.
V C R
+
V C C T
S
E R V E
A
box contains over 100 marbles. The marbles can be divided into equal shares
among 6, 7, or 8 children with 1 marble left over each time. What is the least
number of marbles that the box can contain? Explain
your answer in detail.
HSN-78)
Answer:
4 pairs
A
prime number is a natural number greater than 1 that has no divisors other than
1 and the number itself. The first five prime numbers are: 2,3,5,7, and 11. How
many different pairs of prime numbers have a sum of 36 if the order of the
numbers in a pair does not matter? Explain
your answer in detail.
HSN-77)
Answer:
210
6,
14, and 15 are factors of the natural number N. What is the smallest value that
N can have? Explain
your answer in detail.
HSN-76)
Answer:
5 points
David
and Eric each shot 6 arrows at the target shown below. David shot 4 arrows into
A and 2 into B; his score was 18 points. Eric shot 3 into A and 3 into B; his
score was 21 points. How many points were given for an arrow in B. Explain
your answer in detail.
HSN-75)
Answer:
7/10
The
fraction F below is an extended fraction. What simple fraction in lowest terms
is equal to F? Explain
your answer in detail.
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1 |
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HSN-74)
Answer:
1764
When
a natural number is multiplied by itself, the result is called a perfect-square.
Since 1x1 = 1, 2x2 = 4, 3x3 = 9 and
so forth, 1, 4, 9 and so forth are perfect-squares. What year in the 18th
century (the years 1701 through 1800) was a perfect square? Explain
your answer in detail.
HSN-73)
Answer:
3, 9,
27, and
81
List
all of the different natural numbers that each leave a remainder of 2 when
divided into 83. Explain
your answer in detail.
HSN-72)
Answer:
10
The
average of six numbers is 7. If two of the six numbers are removed, the average
of the remaining numbers is 8. What is the sum of the two numbers which were
removed? Explain
your answer in detail.
HSN-71)
Answer:
82656
N
is the 5-digit number 8A65B in which A and B are digits, and N is divisible by
24. What is the smallest number N can be? Explain
your answer in detail.
HSN-70)
Answer:
27
If
a class of children is separated into groups of 5 children, 2 children will be
left over. If the class is separated into groups of 6 children, 3 children will
be left over. What is the smallest number of children the class could have? Explain
your answer in detail.
HSN-69)
Answer:
156
A
natural number is a multiple of 13 and is also divisible by 4 and by 6. What is
the smallest number that satisfies these conditions?
Explain your answer in detail.
HSN-68)
Answer:
30
Eight
people want to play a 48-minute game as a team but only a team of exactly five
is allowed to play. However, during the game, a player may be replaced by
someone else. Suppose each of the eight people plays in the game for the same
amount of time. How many minutes will each of the eight people play? Explain
your answer in detail.
HSN-67)
Answer:
72
In
the addition problem below, different letters represent different digits and E
is twice H. What two-digit number
does AH, the sum, represent? Explain
your answer in detail.
H E
H E
+
H E
A H
HSN-66)
Answer:
7663
In
the multiplication example below, different letters represent different digits
and blanks represent non-zero digits. What 4-digit number should the product be?
Explain your answer
in detail.
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B |
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B |
A |
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HSN-65)
Answer:
71
A
number is greater than IO and has the property that, when divided either by 5 or
by 7, the remainder is 1. What is the smallest odd counting number that has this
property? Explain
your answer in detail.
HSN-64)
Answer:
25
Find
the greatest number that divides 364, 414, and 539 with the same remainder in
each case. Explain
your answer in detail.
HSN-63)
Answer:
885
Below,
different letters represent different digits, ABC and DEF are three-digit
numbers, and neither of the lead digits A and D is zero. If DEF is subtracted
from ABC, what is the largest remainder that can occur? Explain
your answer in detail.
A B C
-
D E F
HSN-62)
Answer:
78 pounds
In
a group of 5 children, the average weight of each child was 72 pounds. When a
sixth child joined the group, the average weight of each child became 73 pounds.
What was the weight of the sixth child? Explain
your answer in detail.
HSN-61)
Answer:
7/31
What
simple fraction is equal to the complex fraction shown below? Explain
your answer in detail.
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1 |
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1 |
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1 |
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3 |
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HSN-60)
Answer:
7/18 and
8/18
Four
numbers are arranged in order of size and the difference between any two
adjacent numbers is the same. Suppose 1/3 is the first and 1/2 is the fourth of
these numbers. What are the two numbers between 1/3 and 1/2?
HSN-59)
Answer:
42
The
product of two numbers is 504 and each of the numbers is divisible by 6.
However, neither of the two numbers is 6. What is the larger of the two numbers?
Explain your answer
in detail.
HSN-58)
Answer:
90
When
the order of the digits of 2552 is reversed, the number remains the same. How
many counting numbers between 100 and 1000 remain the same when the order of the
number's digits is reversed? Explain
your answer in detail.
HSN-57)
Answer:
9
Carl
shot 3 arrows; 2 landed in the A ring and 1 landed in circle B for a total score
of 17. David also shot 3 arrows; 1 landed in A and 2 in B for a total score of
22. How many points are assigned to Circle B? Explain
your answer in detail.
HSN-56)
Answer:
7/10
Express
the sum below as a simple fraction in lowest terms. Explain
your answer in detail.
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+ |
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HSN-55)
Answer:
5/8
If
a is divided by b, the
result is 3/4. If b is divided by c, the result is 5/6. What is
the result when a is divided by c? Explain
your answer in detail.
HSN-54)
Answer:
2
T
and V in the four-digit number T37V represent different digits, and T37V is
divisible by 88 without remainder. What digit is represented by T? (Hint: find
the value of V first) Explain
your answer in detail.
HSN-53)
Answer1009
In
the addition problem below, each letter represents a digit and different litters
represent different digits. What four-digit number does D E E R represent? Explain
your answer in detail.
I N
+
R I D
D
E E R
HSN-52)
Answer:
43
In
the target below, ring A, ring B, and circle C have different point values. The
sum of the point values of A and B is 23, of B and C is 33, and of A and C is
30. What is the sum of the point values of A, B, and C? Explain
your answer in detail.
HSN-51)
Answer:
3330
546
is one of six three-digit numbers each of which is different and has the digits
4, 5, and 6. What is the sum of these six numbers? Explain
your answer in detail.
HSN-50)
Answer:
952
There
are many three-digit numbers that are each divisible by 7 and also by 8 without
remainder in each case. What is the largest of these three- digit numbers? Explain
your answer in detail.
HSN-49)
Answer:
15
The
entire treasury of the Alpha club, consisting of $240, was to be divided into
equal shares for each club member. When it was discovered that one member was
not eligible for a share, the share of each of the remaining members increased
by $1. How many eligible members got a share of the $240? Explain
your answer in detail.
HSN-48)
Answer:
8
(1,1,8)
is a triple of natural numbers which has a sum of 10. Consider (1,8,1) and
(8,1,1) to be the same triple as (1,1,8). How many different triples of natural
numbers have a sum of 10? Include (1,1,8) as one of your triples.
Explain your
answer in detail.
HSN-47)
Answer:
12
When
a certain number N is divided by 3, the result is the same as when N is
decreased by 8. What is the number N? Explain
your answer in detail.
HSN-46)
Answer:
5.55
What is ½ + .1/2 + 1/.2 ? Explain
your answer in detail.
HSN-45)
Answer:
10/33
Express
the extended fraction below as a simple fraction in lowest terms. Explain
your answer in detail.
|
1 |
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3+ |
1 |
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3+ |
1 |
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3 |
||
HSN-44)
Answer:
A=1 and
B=13
The
figure below is a "magic square" with missing entries. When complete,
the sum of the four entries in each column, each row, and each diagonal is the
same. Find the value of A and the value of B. Explain
your answer in detail.
| A | 7 | 12 | |
| 4 | 9 | ||
| 5 | 16 | ||
| 8 | 11 | B |
HSN-43)
Answer:
2
The
average of five numbers is 6. If one of the five numbers is removed, the average
of the four remaining numbers is 7. What is the value of the number that was
removed? Explain
your answer in detail.
HSN-42)
Answer:
2835
The
serial number of my camera is a four-digit number less than 5,000 and contains
the digits 2, 3, 5, and 8 but not necessarily in that order. The "3"
is next to the "8", the "2" is not next to the
"3", and the "5" is not next to the "2". What is
the serial number?
Explain your
answer in detail.
HSN-41)
Answer:
45
How
many two-digit numbers are there in which the tens digit is greater than the
ones digit? Explain
your answer in detail.
HSN-40)
Answer:
120
When
asked how many gold coins he had, the collector said: If I arrange them in
stacks of five, none are left over. If I arrange them in stacks of six, none are
left over. If I arrange them in stacks of seven, one is left over. What is the
least number of coins he could have? Explain
your answer in detail.
HSN-39)
Answer:
99
When
a natural number is multiplied by itself, the result is a perfect square. For
example 1, 4, and 9 are perfect squares because 1 x 1 = 1, 2x2 = 4, and 3x3 = 9.
How many perfect squares are less than 10,000? Explain
your answer in detail.
HSN-38)
Answer:
100
In
the addition problem below, different letters stand for different digits. AH
represents a two-digit number and HEE represents a three-digit number. What
number does HEE represent? Explain
your answer in detail.
A H
+ A
H
E E
HSN-37)
Answer:
7
A9543B
represents a six-digit number in which A and B are digits different from each
other. The number is divisible by 11 and also by 8. What digit does A represent?
Explain your answer
in detail.
HSN-36)
Answer:
74
In
the multiplication example below, A and B represent different digits, AB is a
two-digit number and BBB is a three-digit number. (* means multiply.) What
two-digit number does AB represent? Explain
your answer in detail.
A B
* 6
B
B B
HSN-35)
Answer:
11
When
certain numbers are placed in the empty boxes, the sum of the three numbers in
each of the three rows, three columns, and two diagonals is the same. What
number should be in the center box? Explain
your answer in detail.
| 5 | 13 | |
| 9 | 7 |
HSN-34)
Answer:
15
The
average of five numbers is 16. Suppose 10 is added to the five numbers. What is
the average of the six numbers? Explain
your answer in detail.
HSN-33)
Answer:
5/6
Express
the following sum as a simple fraction in lowest terms.
Explain your
answer in detail.
|
1 |
+ |
1 |
+ |
1 |
+ |
1 |
+ |
1 |
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1x2 |
2x3 |
3x4 |
4x5 |
5x6 |
HSN-32)
Answer:
4913
23
means 2 x 2 x 2 or 8. 33
means 3 x 3 x 3 or 27
N3 means N x N x N.
Suppose N3 =
4,913. What is the value of N? Explain
your answer in detail.
HSN-31)
Answer:
9
In
the subtraction problem below, each letter represents a digit, and different
letters represent different digits. What digit does C represent? Explain
your answer in detail.
A
B A
-
C A
A B
HSN-30)
Answer:
7
The
four-digit numeral 3AA1 is divisible by 9.What digit does A represent? Explain
your answer in detail.
HSN-29)
Answer:
60
A
set of marbles can be divided in equal shares among
2, 3, 4, 5, or 6 children with no marbles left over. What is the least
number of marbles that the set could have? Explain
your answer in detail.
HSN-28)
Answer:
200
A
book has 500 pages numbered 1, 2, 3, and so on. How many times does the digit 1
appear in the page numbers? Explain
your answer in detail.
HSN-27)
Answer:
A=3, B=8
In
the multiplication problem below, A and B stand for different digits. Find A and
B. Explain your
answer in detail.
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A |
B |
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B |
A |
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1 |
1 |
4 |
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3 |
0 |
4 |
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3 |
1 |
5 |
4 |
HSN-26)
Answer:
154
In
three bowling games, Alice scores 139, 143, and 144. What score Will Alice need
in a fourth game in order to have an average score of 145 for all four games? Explain
your answer in detail.
HSN-25)
Answer:
5
P
and Q represent numbers, and P * Q means (P+Q)/2
. What is the value of 3 * (6 * 8)?
Explain your answer
in detail.
HSN-24)
Answer:
A=4 and
B=12
If
1/3 = 1/A + 1/B where A and B are
different whole numbers, find the value of A and the value of B. Explain
your answer in detail.
HSN-23)
Answer: (Name - Season - Last 2 Minutes) -----
(Jody - 86% - 33%), (Sara - 70% - 72%), (Ellen - 65% - 82%), (Becky - 67% -
100%), (Rose - 83% - 60%) The primary purpose of this problem is to involve the
students in decision making. Students should make a choice and defend it.
The coach of the Jaguars' basketball team has a decision to make! Her team is
one point behind and the final buzzer has just sounded. However, just at the
buzzer, a bench foul was called on the opponents, the Rockets. The Jaguars'
coach has to select one of the five players on the court at that time to shoot
the free throw. If the player makes the foul shot, the game goes into overtime;
if she misses, the Jaguars lose the game. Here are the foul-shooting statistics
for the five players involved: (Name/ Free Throws for the Season/ Free Throws
During the Last Two Minutes) (Jody / 6 out of 7 / l out of 3) (Sara / 70 out of
100 / 18 out of 25) (Ellen / 85 out of 130 / 14 out of 17 ) (Becky / 10 out of
15 / 5 out of 5) (Rose / 100 out of 120 / 15 out of 25) If you were the coach,
which player would you choose? What would you do? Defend your decision.
Explain your
answer in detail.
HSN-22)
Answer:
The Jazz are four games behind the Supersonics
After
the first 57 games of the basketball season, the Supersonics have a winning
percent of .561 and the Jazz have a winning percent of .491. How many games
behind the Supersonics are the Jazz? Explain
your answer in detail.
HSN-21)
Answer:
60
The
numbers 2, 4, 6, and 8 are a set of four consecutive even numbers. Suppose the
sum of five consecutive even numbers is 320. What is the smallest of the five
numbers? Explain
your answer in detail.
HSN-20)
Answer:
12/29
Express
the extended fraction at the right as a simple fraction in lowest terms. Explain
your answer in detail.
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HSN-19)
Answer: 200 people
A sightseeing boat is chartered by a social club at the rate of $10 per person, and they guarantee a minimum of 150 people. The boat company agrees to reduce the rate by 5 cents per person for each additional person over the 150 minimum. Find the number of passengers that will yield the boat company the maximum gross income. Explain your answer in detail.
HSN-18)
Answer:
99
X and Y are two different counting
numbers both less than or equal to fifty. What
is the largest value that (X+Y)/(X-Y)
can have? Explain
your answer in detail.
HSN-17)
Answer:
7
30!
represents the product of all natural numbers from 1 through 30 inclusive: 1 x 2
x 3 x 4 x 5 x ... x 28 x 29 x 30. If the product is factored into primes, how
many 5s will the factorization contain? Explain
your answer in detail.
HSN-16)
Answer:
150
If
I start with 2 and count by 3s until I reach 449, 1 will get:
2, 5, 8, 11, ... , 449 where 2 is the first number, 5 is the second
number, 8 is the third number and so forth. If 449 is the Nth number, what is
the value of N? Explain
your answer in detail.
HSN-15)
Answer:
4
If
a number ends in zeros, the zeros are called terminal
zeros. For example, 520,000 has four terminal zeros, but 502,000 has just
three terminal zeros. Let N equal the product of all natural numbers from I
through 20: N=lx2x3x4x
... x 20. How many terminal
zeros will N have when it is written in standard form? Explain
your answer in detail.
HSN-14)
Answer:
A=3, B=8
In
the division problem below, the blanks represent missing digits. If A and B
represent the digits of the quotient, what are the values of A and B? Explain
your answer in detail.
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HSN-13)
Answer:
E=3, H=2,
A=9
In
the addition problem below, each letter stands for a digit and different letters
stand for different digits. What digits do the letters H, E, and A each
represent? Explain
your answer in detail.
H E
H E
H E
+
H E
A H
HSN-12)
Answer:
9
If
the digits A, B, and C are added, the sum is the two-digit number AB as shown
below. What is the value of C? Explain
your answer in detail.
A
B
+
C
A
B
HSN-11)
Answer:
58, 59, 60
Consecutive
numbers are whole numbers that follow in order such as 7, 8, 9, 1 0, I 1, and
12. Find three consecutive numbers such that the sum of the first and third is
118. Explain your
answer in detail.
HSN-10)
Answer:
15,762
In
the multiplication problem below, each blank space represents a missing digit.
Find the product. Explain
your answer in detail.
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HSN-9)
Answer:
57
A
number has a remainder of I when divided by 4, a remainder of 2 when divided by
5, and a remainder of 3 when divided by 6. What is the smallest number that has
the above properties? Explain
your answer in detail.
HSN-8)
Answer:
625 or
875
In
the multiplication problem below, different letters stand for different digits,
and ABC and DBC each represent a three-digit number. What number does DBC
represent? (Two answers are
possible; give one.) Explain
your answer in detail.
A
B C
x C
D
B C
HSN-7)
Answer:
7
In
a math contest of 10 problems, 5 points was given for each correct answer and 2
points was deducted for each incorrect answer. If Nancy answered all 10 problems
and scored 29 points, how many correct answers did she have? Explain
your answer in detail.
HSN-6)
Answer:
12
A
train can hold 78 passengers. The train starts out empty and picks up 1
passenger at the first stop, 2 passengers at the second stop, 3
passengers at the third stop, and so forth. After how many stops will the train
be full? Explain
your answer in detail.
HSN-5)
Answer:
91
If
a number is divided by 3 or 5, the remainder is 1. If it is divided by 7, there
is no remainder. What number between 1 and 100 satisfies the above conditions? Explain
your answer in detail.
HSN-4)
Answer:
10
Consecutive
numbers are counting numbers that follow in order as in 7, 8, 9, 1 0, and so
forth. Suppose the average of 15 consecutive numbers is 15. What is the average
of the first five numbers of the set? Explain
your answer in detail.
HSN-3)
Answer:
29 inches
Toy-train
cars made of blocks of wood either 6 inches long or 7 inches long can be hooked
together to make longer trains. Which of the following train-lengths cannot be
made by hooking together either 6-inch train cars, 7-inch train cars, or a
combination of both: 29 inches, 30
inches, 31 inches, 32 inches, 33 inches? Explain
your answer in detail.
HSN-2)
Answer:
15
In
the multiplication example below, A, B, and H represent different digits. What
is the sum of A, B, and H? Explain
your answer in detail.
B A
x 7
H
A A
HSN-1)
Answer:
40
Six
dollars were exchanged for nickels and dimes. The number of nickels was the same
as the number of dimes. How many nickels were there in the change? Explain
your answer in detail.
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