1. Draw a shape which has opposite sides
parallel and equal and each angle equal. How many figures can you draw?
2. Using the image
below, fill in one angle for each box of the chart.
3. Complete the
table in order to classify the triangles by sides and by angles.
Sides
|
Equilateral
triangle
|
Scalene triangle
|
Isosceles
triangle
|
|
|
|
4. Thinking/Communication
A square is also a
parallelogram, but a parallelogram is not necessarily a square. Explain.
5. What are the missing
numbers in the pattern 1; ; 9; 27; ; 343; : : : ?
(a)
4, 36 (b) 3, 81 (c) 4, 64 (d) 3, 121 (e) 5, 100
6. The words "IT IS COOL TO LIKE MATH" are written on a clear
glass window. How many of the letters in the sign look the same on either side
of the window?
(a)
7 (b) 8 (c) 10 (d) 12 (e) 13
7.
Tower
of Hanoi
Tower
of Hanoi is a game where you have three pegs and three (or more) rings of different
sizes stacked onto the first peg, largest on the bottom and smallest on the
top. The objective is to move your stack of rings to the third peg. However,
there are a few rules to follow: you may only moveone ring at a time and you
may never have a larger ring on top of a smaller ring.
Q: What is the smallest
number of moves needed to complete the game with:
a) one disc?
b) two discs?
c) three discs?
d) four discs?
Q:
Do you notice any patterns in the way the number of moves increases?
8. The following pattern is called the
"Look-and-say sequence":
1, 11, 21, 1211, 111221, 312211, ...
a) What is the rule for this pattern?
b) Will the
number 4 ever appear as a digit in this sequence?
9. If there are 6 diesel cars sold to every
3 petrol cars, is it the same proportion as 2 diesel cars to every 1 petrol
car?
A) No
B) Yes
10. You have a Rs10 top-up card for your
mobile phone. If you have used Rs. 6 of your credit, what is the ratio between
what you have spent and what you have left in credit?
A) 10:6
B) 3:2
C) 4:6
