Questions in math

7. 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

8. 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

9. Use < or > or =

      3             0.2            

     10

10. Change the following fraction to a fraction with the least common denominator

         

11. Divide and express as a decimal

a)    3 divided by 8     b)  278138  ÷  15       c)  654 ÷ 56

12. The weights of pieces of wood are 2 kg ,  1028 g , 0.3 kg, 5105g. List them from the lightest to heaviest              5            7

13. ADD:

1a.    1  0  1  5  9 9  3  0  5  6  5 8  3  9  2  0 +   2  6  6  7  7  3

2 b.    1  7  9  5  9 1  7  4  8  1  2 6  9  4  1  4 +   3  9  3  0  4  9

2 c.    3  3  5  0  2 1  5  9  6  1  2 2  2  6  5  2 +   4  3  0  5  7  0

14. Subtract:

a.    7  5  9  5  4  1  5 −   1  3  7  7  8  5  7   2. Using the image below, fill in one angle for each box of the chart. acute obtuse right 1. 3. Complete the table in order to classify the triangles by sides and by angles. Sides Equilateral triangle Scalene triangle Isosceles triangle

b.    8  1  7  3  2  6  1 −      9  5  6  4  6  0

c.    6  4  0  6  3  3  8 −   3  3  8  1  9  2  4

Grade 5 Knowledge

1.  Draw a shape which has opposite sides parallel and equal and each angle equal. How many figures can you draw?

2. Thinking/Communication

A square is also a parallelogram, but a parallelogram is not necessarily a square.  Explain.

3. 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

4. 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

5. 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 move one 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?

6. 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?

Timeline of Inventions

Here is the video of timeline of inventions. I was in two minds whether I should get the work done in class only and not give you internet related HW.... all the same it is here for you to watch