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Math Challenge
Wednesday, 24 May 2017
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1
Secondary Section
Classes –VII-IX
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2
Number
System
Algebra and
coordinates
Geometry
Mensuration
Fractions,
Decimals and
Percentages
1
1
1
1
1
2
2
2
2
2
3
3
3
3
3
4
4
4
4
4
Mixed Bag : 10 x 4 = 40
Target Number: 1 x 4 = 4
Your Choice: 2 x 4 = 8
Visual Round: 2 x 4 = 8
Rapid Fire Set A: 10
Rapid Fire Set C: 10
Rapid Fire Round
Rapid Fire Set B: 10
Rapid Fire Set D: 10
Multiple Choice: 2 x 4 = 8
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•Mixed Bag Round
•10 x 4 = 40 Questions
•Mixed questions from different
topics of Math
•Each question carries 10 points and if passed to the next two
groups 5 and 3 points respectively.
•Time allowed 30 seconds, 15 seconds and 10 seconds.
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Mixed Bag Round
Topic - Integers
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Numbers-Integers
What is -22 – 47 ?
Answer:-69
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Numbers-Integers
465 ÷ -15 is equal to
Answer: -31
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Numbers-Integers
Which integer is called
the additive identity?
Answer: 0 Zero
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Numbers-Integers
What should be added to
-50 in order to make 150 ?
Answer: 200
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Mixed Bag Round
Topic - Algebra
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Algebra-Equation
If 14 n = 70, what is the
value of 2n?
Answer: 10
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Algebra-Equation
What is the value of n if
7
91

9
N
Answer: 117
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Algebra-Expressions
If A = -2 and B = 17, what
is the value of -3AB ?
Answer: 102
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Algebra-Equation
If the sum of two numbers
is 24 and one number is
double of the other, what is
the bigger number?
Answer: 16
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Mixed Bag Round
Topic - Geometry
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Geometry
Question: What is a
Quadrilateral called that has
two parallel bases ?
Answer: A trapezoid or a
trapezium.
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Geometry
Question: What is the greatest
number of obtuse angles that a
quadrilateral can have?
Answer: A quadrilateral can
have no more than two obtuse
angles.
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Geometry
Question: Which type of
quadrilateral is an equiangular
quadrilateral, but is not an
equilateral quadrilateral?
Answer: A rectangle is equiangular,
but not equilateral.
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Geometry
How many vertices does a
cube have?
Answer: 8
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Mixed Bag Round
Topic - Mensuration
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Mensuration-Perimeter
Question: The area of a
square is 36 square inches.
What is perimeter of the
square.
Answer: The perimeter of the
square is 4 times 6 or 24 inches.
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Mensuration-Area
Question: How many 2” by 2”
squares will fit into a rectangle
that measures 4” by 12” ?
Answer: 12 squares will fit into
the rectangle.
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Mensuration-Volume
Question: What is the formula
for the volume of a cylindrical
object ?
Answer: πr2h
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Mensuration-Volume
Question: How many cm3 are
there in 1m3?
Answer: 1000000 cm3 or 1 million
cm3
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Mixed Bag Round
Topic - FDP
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FDP-Percentage
What is the simplified form
of the fractional
equivalence of 75% ?
Answer: 3/4
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FDP-Fractions
What is the value of
1
4
2
2
Answer:
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1
2
4
27
FDP-Decimals
What is 7.5 ÷ 1.5
Answer: 5
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FDP-Percentage
What is 20% of 20% of
100 ?
Answer: 4
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Mixed Bag Round
Topic – Metric Measures
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Metric Measures
What is the number of
millimeters in a kilometer ?
Answer: 1 million
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Measurement-Time
How many seconds are
there in two hour?
Answer: 7200
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Metric Measures
What is the number of inches
in 5 feet ?
Answer: 60
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Metric Measures
How many grams are there
in 2.35 kilograms?
Answer: 2350
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Mixed Bag Round
Topic – Statistics
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Data Handling
One of the classes in a
frequency distribution is 30 40. What is the class size of
the frequency distribution?
Answer: 40 – 30 =10
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Data Handling
In the pie chart what is the
angular value for 25
percent of the data?
Answer: 90 degrees
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Data Handling
What is the difference
between the largest and
smallest values in a list of
numbers called?
Answer: Range
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Data Handling
What is the term called that
defines the a number or
numbers appearing most
often in a list of data?
Answer: Mode
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Mixed Bag Round
Topic – Whole Number
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Number
Which of these numbers is
the odd one?
16, 20, 24, 22, 8, 4
Answer: 22
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Number
A man has notes of Rs10
numbered from 100 to 150.
What is the total value of
the notes he has?
Answer: Rs 510
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Number-Operations
What is the quotient when
3216 is divided by 12 ?
Answer: 268
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Number-Pattern
What will be the next term
of the following pattern ?
1, 3, 6, 10, 15, __
Answer: 21
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Mixed Bag Round
Topic – Terminology
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Number-Ratio and Proportion
In a ratio a:b, what is the
first term a called?
Answer: Antecedent
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Geometry-Lines
What are intersecting lines
that form right angles at
their intersection called?
Answer: Perpendicular
lines
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Geometry- Triangle-Terminology
What is the perpendicular drawn
from a vertex to the opposite
side of a triangle called ?
Answer: Altitude or height of
the triangle
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What is an angle formed by
extending one side of a triangle
called?
Answer: An exterior angle
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Mixed Bag Round
Topic – Miscellaneous
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Mensuration-Circle
What is the area of a circle
with radius equal to 10?
Give the answer in decimal
or whole number
Answer: 314
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Mensuration-Perimeter
What is the perimeter of a
12 x 8 rectangle?
Answer: 40
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What is the total time Alan
walked, if he started at 7:43 am
and stopped at 9:15 am ?
Answer: 1 hour 32 minutes or 92
minutes.
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There are 6 boys in a class
of 15 students. What is the
ratio of boys to girls?
Answer: 2:3
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•Your Choice Round
•2 x 4 = 8 Questions
•Questions from the topics of your
choice among Number, Algebra and coordinates,
Mensuration, Fractions-Decimals – Percentages and
Geometry
•No group will be allowed to choose more than one questions
from the same category.
•Each question carries 5 points.
•Time allowed 30 Seconds for each question. Question will not be
passed to the other groups.
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Your Choice Round
Topic – Number
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Number-Roots
What is the product of the
th
4 root and the square
root of 16?
Answer: 2 x 4 = 8
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Number-Cubes
How many perfect cube
numbers are there
between 0 and 1000 ?
Answer: 9
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Numbers-Factors
How many prime
factors does 12 have?
Answer: 2
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Number-Indices
What is
3
5
x
3
2?
Answer: 1000
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Your Choice Round
Topic – Algebra and
Coordinates
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Coordinate Geometry
On a XY-coordinate plane,
where does the point (-2, 3)
lie?
Answer: Second quadrant
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What is the slope of the line
through the points (–5, 9)
and (3, 14)?
Answer: 5/8
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Question: What is the correct
expanded form of (4x +
5)(2x - 3) ?
Answer:
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2
8x
- 2x - 15
64
Question: If a = -2, what is the
value of
-3
(-a) ?
Answer: 1/8
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Your Choice Round
Topic – Geometry
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Geometry
Question: What is a polygon called that has all
congruent sides and congruent angles ?
Answer : A regular polygon
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Geometry
Question: Name all the quadrilaterals
that have four congruent sides.
Answer: A square and a rhombus
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Geometry
Question: What is the sum of all the angles in
a pentagon?
Answer: 540 degrees
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Geometry-Circle
How many degrees are
there in 5/6 a circle?
Answer: 300 degrees
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Your Choice Round
Topic – Mensuration
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Mensuration-Volume
Question: What is the total surface area
of a lidless cubical box that measures 6
centimeters on a side.
Answer: The Total surface area of the
cube is 5 x 6 x 6 = 180 square
centimeters.
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Mensuration-Perimeter
Question: What is the perimeter of a regular
decagon that has a side that measures 8
centimeters?
Answer: A regular decagon has ten
congruent sides. Its perimeter
would be 80 centimeters.
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Mensuration-Perimeter and Area
Question: A square has area 64 cm2. What
will be its perimeter?
Answer: 32 cm
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Mensuration-Perimeter
Question: If the length of a rectangle
measures twice the width, and the perimeter
is 72 feet, find the length of the
rectangle.
Answer: The length of the rectangle is 24
feet and the width is 12 feet.
(Check: 24 + 12 + 24 + 12 = 72)
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Your Choice Round
Topic – FDP
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FDP-Fractions
What is the reduced or the
simplest form of 68
85
Answer:
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4
5
77
FDP-Decimals
What is the answer for
87.4 - 49.57
Answer: 37.83
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FDP-Percentage
What is 1/8 written as a
percent?
A: 12.5%
B: 8%
C: .8%
D: 25%
Answer: A. 12.5%
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FDP-Fraction
What is
3
4
of 28.4 ?
Answer: 21.3
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•Visual Round Round
•1 x 4 = 4 Questions
•Questions from the topics of
math in visual form
•Each question carries 10 points.
•If answered incorrectly or not answered, question will be passed
to the next group.
•Time allowed 30 Seconds, 15 seconds and 10 seconds for each
question.
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Geometry- Triangle-Terminology
What is the area of the following figure?
Answer:120 cm2
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How many triangles are there
in the figure altogether
Answer:12
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How many edges/sides does the following
diagram have?
H
G
E
F
4cm
D
A
Answer: 12
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C
5cm
B
8cm
84
How many faces does the following square based
pyramid has?
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Answer: 5 Faces
85
Quadrilateral
How many
different types of
polygons are there
in the above arch?
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Triangle
Pentagon
Hexagon
Quadrilateral
Pentagon
Pentagon
Heptagon
Answer: 5
86
Target Number Round
•4 Questions
•Questions based on numerical calculation by combining the
given digits in any way and using +,-, x and ÷ signs.
•Each question is open to all the groups.
•Each question carries 10 points.
•Time allowed is 1 minute for each question. After 1 minute,
each team has to stop calculating.
•After 1 minute, each group will be allowed to express their
answer and the process they used.
•Whichever team gets the number closest to the target number
will get 10 points. If more than one team gets the same number,
they all will get 10 points.
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Target Number Question 1
•Given Digits: 1, 3, 5, 7, 9, 0
•You have to use all the digits
•Mathematical Operators
allowed to use: +,-, x, ÷
•Target Number: 300
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Target Number Question 2
•Given Digits: 2, 4, 6, 8, 0
•Mathematical Operators
allowed to use: +,-, x, ÷
•Target Number: 400
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Target Number Question 3
•Given Digits: 3, 4, 5, 6, 7,8
•Mathematical Operators
allowed to use: +,-, x, ÷
•Target Number: 100
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Target Number Question 4
•Given Digits: 9, 8, 7, 6, 5, 4
•Mathematical Operators
allowed to use: +,-, x, ÷
•Target Number: 1000
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•Rapid Fire Round
•10 x 4 = 40 Questions
•Mixed questions from different
topics of Math
•Each question carries 5 points.
•Time allowed 2 minute and maximum number of questions for
each group is 10
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Rapid Fire Round Group A
1. Spell Isosceles
2. 88 is a multiple of 22. True or false?
3. All the whole numbers are also natural numbers. True or false?
4. What is the formula for curved surface area of a cylinder?
5. How many sides does a heptagon have?
6. How many complete weeks are there in 80 days?
7. What is the full form of LCM?
8. How many pens are there in 7 dozens?
9. What is the formula for a2 – b2 in factors form?
10. Which one more: 2/5 or 40%?
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Rapid Fire Round Group A: Answers
1. Isosceles
2. True
3. False?
4. 2πrh
5. 7
6. 11
7. Lowest Common Multiple
8. 84
9. (a-b)(a+b)
10. Which one more: none
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Rapid Fire Round Group B
1.
2.
3.
4.
5.
Spell Pythagoras
Which one weighs more 1 kg of metal or 1 kg of feathers?
What is the formula for area of a circle?
How many socks are there in 18 pairs?
What is the measure of each acute angle of an isosceles right
angled triangle?
6. How many prime numbers are there between 1 and 10?
7. What is the full form of QED?
8. What is two thirds of 15?
9. A rectangle has 5 right angles. True or false?
10. What is the next number in the pattern 3, 9, 27, ... ?
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Rapid Fire Round Group B: Answers
1. Pythagoras
2. None of them, both are equal.
3. πr2
4. 36
5. 45 degrees
6. 4
7. Quad Erata Demonstrandum
8. 10
9. False
10. 81
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Rapid Fire Round Group C
1.
2.
3.
4.
5.
6.
Spell consequent.
What is the only even prime number?
All the integers are also rational numbers. True of false?
Which one is longer? 2 years or 700 days?
If a = 3 and b = 5, what is the value of (a + b)2
If now the time is 11:45AM, what time was 3 hours 20 minutes
ago?
7. In statistical term, what is the most repeated item/term called?
8. What is 50 percent of 45?
9. How many composite numbers are there between 1 and 10?
10. What is the full form of HCF?
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Rapid Fire Round Group C: Answers
1. Consequent
2. 2
3. Yes
4. 2 Years
5. 64
6. 8:25 A.M.
7. Mode
8. 22.5
9. 4
10. Highest Common Factor
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Rapid Fire Round Group D
1. Spell Hypotenuse
2. 15 is a multiple of 6. True or false?
3. What is the full form of CF in statistics?
4. Give the formula for a3 + b3 in factors form.
5. What is 1000 divided by 8?
6. What is ¾ + ¾ in terms of mixed fraction?
7. What is the polygon with 7 sides?
8. How many hours are there in 4 days?
9. What geometrical shape is the base of a cylindrical object?
10. Which one is bigger: - 3 or - 4
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Rapid Fire Round Group D: Answers
1. Hypotenuse
2. False
3. Cumulative Frequency
4. (a+b)(a2 – ab +b2)
5. 125
6. 1 1/2
7. Heptagon
8. 144
9. Circle
10. -3
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100
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Additional Questions
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Geometry
Question: Which type of quadrilateral is
equilateral but not equiangular?
Answer: A rhombus has all sides congruent,
but its angles are not.
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Mensuration-Perimeter
Question: The area of a small square is 49
square meters. A larger square has
sides that are twice as long. What
is the measure of one side of the
larger square?
Answer: (The sides of the smaller square
measure 7 meters.)
The sides of the larger square must
measure 14 meters!
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Mensuration-Perimeter
Question: The base of an isosceles triangle
measures 6 inches. If the measure
of each of the congruent sides is
twice the measure of the base, find
the perimeter of the triangle.
Answer: The perimeter of the triangle is
6 + 12 + 12
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or
30 inches.
105
Mensuration-Perimeter
What is the perimeter of a 10
x 12 rectangle?
Answer: 44
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106
Geometry- Terminology
What are the points called which
are all in a straight line?
Answer: Collinear points
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107
Geometry-Terminology
What is the segment called that
joins the midpoints of the legs of
a trapezium?
Answer: Median of the
trapezium
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108
Number-Cube Numbers
What is the cube of 7?
Answer: 343
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Number-Prime Factors
How many factors of 24
are also prime numbers?
Answer: 2
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Geometry-Circle
How many degrees are
there in 5/6 a circle?
Answer: 300 degrees
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What is the next number
in the sequence below?
4, 28, 196, 1372, _____
Answer: 9604
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Number-Standard Form
Express 15,000 in
standard form:
Answer:
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1.5 x10
4
113
Polygon Arch 2
Triangle
Quadrilate
ral
Hexagon
Hexagon
Pentagon
Pentagon
Triangle
Heptagon
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Choose the correct value for the
surd given at the centre.
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Quadrilateral
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
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Please see carefully and understand the116
• In the last figure, different types of
quadrilaterals are organised in a diagram.
The square is placed within the rectangle
and the rhombus. What does it mean or
why the square is placed there?
• Answer: It means the square is common
between the rectangle and rhombus. In
other words, square is also a rectangle and
the square is also a rhombus.
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Blaisé Pascal (16231662)
1707 - 1783
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118
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Geometry- Triangle-Terminology
• The letters of the words AMERICAN PIES are
placed in a bag. What is the probability that
you will draw an E or an I if you chose one
letter from the bag?
• A.) ¼
B.) 1/3
C.) 1/8
D.)
5/12
E.) NG
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Geometry- Triangle-Terminology
A car company sold 150 cars in a
special 6-day tent sale offer. Each
day the company sold 6 more cars
than the day before. How many
cars were sold on the 6th day?
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Geometry- Triangle-Terminology
Chicken Tikka
{ Serves 5 }
800 g chicken
180 ml yoghurt
6 teaspoons lime juice
2 ½ cm root ginger
Based on the above recipe, what is the quantity of chicken
required for the Chicken Tikka to serve 4 people?
Answer: 640 grams
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Geometry- Triangle-Terminology
• The Soccer Shop is having a sale. Everything
is 20% off. Shannon bought a pair of goalie
gloves and some shin guards. The original
prices were $30 for the gloves and $15 for
the shin guards. How much did Shannon
save all together?
• A.) $9.00 B.) $15.00
C.) $18.00
D.)
$36.00
E.) NG
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Geometry- Triangle-Terminology
• There were 30 questions on a math test.
Chaz got 80% of them correct. How many
questions could he not answer correctly?
Answer: 6
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Algebraic areas
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Conversion graphs – money
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Conversion graphs – temperature
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Cog wheels
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Cubes and cube roots
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129
Fractions on a clock face
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130
Mid-points
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131
Mid-points
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132
Multiplying and dividing fractions
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133
Percentage increase and
decrease
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134
Percentages of shapes
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135
Place value
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136
Rational or irrational?
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137