This document provides details of a mathematics quiz for level II students, including the format, topics, and sample questions. The quiz has three main sections - a visual round with 6 questions in 6 minutes, a rapid fire round with 6 questions in 12 minutes, and a math models round where students are given materials to model math concepts and are asked 6 questions in 10 minutes randomly selected. Sample questions cover topics like geometry, algebra, fractions, time, logic puzzles, and more. The document aims to give an overview of the structure and difficulty of the quiz.

1. Mathematics Quiz Ideas
Level II

2. Quiz format
Visual Round
Numbers
Logic and decoding problems
Model-making/ paper folding. This is
done by lots
Rapid Fire

3. Visual Round
6 Questions
Each Q = 1 minute
Total time = 6 minutes

4. Dots and lines
Draw a line starting from any dot.
At the place where the line ends, start the next line
Draw lines such that all the dots are covered; every dot stays on
atleast one line.

5. Dots and lines

6. More dots and lines
Draw a cross such that there are five dots
inside and eight dots outside.

7. More dots and lines

8. Diamonds are forever
Move 6 match sticks to make 8 diamonds.

9. Diamonds are forever

10. Cubes
The small cubes are 1 cm x 1 cm x 1cm.
What is the volume of the cuboid?
24 cm3

11. Clock time
1
What is the acute
angle between the
hands at 1 o’ clock?
What is the obtuse
angle between 1 and
5 on a clock face?
30° 120°

12. Triangles
How many triangles do you see?
11

13. Fun with numbers 
6 Questions
Each Q = 2 minute
Total time = 12 minutes

14. Sum in the square
9 1 6 5
8
3 9 4
5
7 3 8
2
9 7 6
Imagine linking four numbers on this grid. The
links can go up or down or sideways, but not
diagonally. What is the greatest total you can
make? What is the smallest total you can
make?

15. Fraction fun !
A fraction has the denominator
greater than its numerator by 6. But if
you add 8 to the denominator, the
value of the fraction would then
become 1/3.
Can you find this fraction?
7/ 13

16. More squares 
15 7
6 3 4
5 2
12 4 8
5 6
Put the signs +, *,-, / into the circles so
that the two computations done across
and the two vertically give the same result

17. More squares 
15 7
x
6 ÷
3 4
5 2
+
-
12 4 8
5 6
Put the signs +, *,-, / into the circles so
that the two computations done across
and the two vertically give the same result

18. Mathematical route
12 3 5 7
6
+
2 6 9
-
3 4
7 3
+ ÷
÷
÷
+
÷
÷
-
x
x
x
x -
÷
4
+
Starting from 12, find the route that leads upto 4! You can move
in any direction.

19. Cross number
1 2
3
4
Across:
1 – A square number
2 – A square palindromic
Number
3 – A cube number
Down
1 – 23 x 5
2 – A multiple of 13

20. Cross number
1
2
Across:
1 – A square number
2 – A square palindromic
Number
3 – A cube number
Down
1 – 23 x 5
2 – A multiple of 13
1 6
1 2 1
5 7

21. Missing signs
(37 ------ 21) ------ 223 = 1000
(756 ------ 18) ------ 29 = 1218
27 ------ (36 ------ 18) = 675
31 ------ (87 ------ 19) = 2108
Each box represents a
missing sign ( +, -, x, or ÷)

22. Missing signs
(37 -- x -- 21) -- + -- 223 = 1000
(756 -- ÷-- 18) – x -- 29 = 1218
27 -- + -- (36 – x -- 18) = 675
31 -- x -- (87 -- _ -- 19) = 2108
Each box represents a
missing sign ( +, -, x, or ÷)

23. Logic “Aha”!
6 Questions
Each Q = 2.5 minutes
Total time = 15 minutes

24. Colors and names
There are 3 gentlemen in a meeting: Mr.
Yellow, Mr. Green and Mr. Brown. They are
wearing yellow, green and brown ties. Mr.
Yellow says: "Did you notice that the color
of our ties are different from our names?"
The person who is wearing the green tie
says, "Yes, you are right!"
Do you know who is wearing what color of
tie?
G Y B
B G Y

25. Alphabet soup
Alphabets A through R are printed above the box,
in the box, and beneath the box.
Can you continue on for S to Z and
place them correctly according to the scheme ?
Above the box, the alphabets have only lines.
In the box, they have lines and curves.
Below the box, they have only curves.

26. Secret Code
Each letter stands for one of these digits –
1,3,4,6,8,9
A + A = B A x A = DF
C + C = DB C x C= BD
A + C = DE A x C= EF
Work out the following:
E + F F + B
E x F F x B

27. Secret Code
A cannot be 1 as there is no 2.
A cannot be 3 because A x A is a 2-
digit number
A has to 4; B = 8
DF = 16; D = 1; F = 6
C + C = 18; C x C = BD = 81; C = 9
DE = 13; E = 3

28. Alphabet magic square
Place the alphabets A to I
the 3 x 3 box. E is to the right of C.
A is to the right of G which is above B,
which is to the left of F. I is above D
which is to the left of G.

29. Alphabet magic square
I C E
D G A
H B H

30. Patterns, patterns , everywhere
What comes next?
2 4 9 18 23 46 51 ___ ___.
2 4 3 9 8 64 63 ___ ___.
2 4 5 7 10 11 13 ___ ___.

31. Magic Star
The numbers along each line add up to 28. The letters TRICK
stand for 9, 10, 11, 12 and 14. Which letter is which?
T I
3
1
R
4
2
5
K C

32. Magic Star
The numbers along each line add up to 28. The letters TRICK
stand for 9, 10, 11, 12 and 14. Which letter is which?
T =12 I = 11
3
1
R = 14
4
2
5
K = 10 C = 8

33. Math models
6 Questions
Question picked by lottery!
Total time = 10 minutes

34. While we wait…
We can watch some incredible visual
illusions

36. Will this elephant have difficulty
walking?

37. Change of direction

38. Does the gray at the center appear
darker?

39. Number of diagonals in a polygon
How many diagonals can you draw
from a vertex of a polygon of “n”
sides?
Can you check for different polygons?
(quadrilateral, pentagon, hexagon,
octagon)
What is the formula?
Materials: Paper, ruler, pencil

40. Triangles and rectangles
Angle-sum property
Sum of exterior angles is equal to
sum of interior angles
Area of a rectangle and how it is
related to the area of a triangle
Materials needed:
Paper, pencil, scissors, ruler

41. What is the area of a parallelogram
a
b
Materials needed
- Graph sheet (draw the parallelogram)
- Scissors
- Pencil, paper

42. Area of a parallelogram
Draw a perpendicular from A to
Side CD at C‘. Cut out triangle ACC‘.
A
C D
B A B
C D
A B
C' D C
Move the triangle ACC‘ to the
other side. ABCD is a rectangle
whose area is AB x BC = base x height

43. Can you make this square by paper folding?
Materials – One large paper, ruler, pencil, scissors
How many squares and how many triangles are there?

44. Can you make this square by paper folding?
Materials – One large paper, ruler, pencil, scissors
How many squares and how many triangles are there?

45. Ayesha’s offcuts
Ayesha’s father was builder and often
brought home wood offcuts. Once he
bought the following pieces.
4 B
A
4
4
3
C
2
6
3
5 E 4
2
D
F
6
3
Can you arrange
these to make
a square?
Materials: Chart paper, ruler, pencil
scissors

46. Ayesha’s cutoffs
A
E B
D
C
F

47. Largest Surrounded Area
How can use these four cardboards to get the largest
surrounded area?
Materials: Card stock/ chart paper, ruler, pencil, scissors

48. Largest surrounded area

49. Rapid Fire
2 Rounds
Each round = 4 minutes
Total time = 8 minutes

50. Round 1
How many kilograms is 36 g?
What is next? 47, 45, 42, 38, …
75% of 80
Average of 65 and 33
Roughly, what is 403 / 19?
Perimeter of a 9 cm x 6 cm rectangle
How many zeroes in 10 lakhs or 1
million?
Twice a number is 16 less than 40.
What is the number?

51. Round 1
Double a number is 4 less than 30?
Grandfather was 15 in 1951. When
was he born?
10 – 6 3/5 (fraction)
How many hours in September?
Half of 0.1
237 ÷ 416
0.5 – 0.06
What is 33 1/3% of 54?

52. Round 2
The sum of two sides in a triangle is -----
What must be added to 725 to make it
810?
What is 675/ 25?
13 x 7 = ----- ?
What fraction of 1 kg is 400 grams?
15 – 6.7
Ratio of 30 days to 36 hours
12/ 16 = ------ %

53. Round 2
Increase 25 by 50 %
Ascending order of fractions
3/5, ½ , ¾ , 1/5
How many faces does a cuboid have?
How many tenths in 4 ½ ?
Deduct 15% from 80.
23*96 ------- 32*69
The number 3672 is divisible by which of
the numbers from 2 to 9?
If the temperature falls 19 °C to -3 °C, what
will be the change in temperature?