Thursday, 28 July 2011

Mathematics Quizzes

1.   Find the place value of 9 in 348.719.
a.   9 hundredths
b.   9 thousandths
c.   9 hundreds
d.   9 thousands

2.   Which is the greatest 2 digit prime number?
a.   99
b.   97
c.   91
d.   83

3.   30 cents+2 dimes=________
a.   2 quarters
b.   4 nickels
c.   10 dimes
d.   100 cents

4.  The Math test scores of Grade 4 students are given below:
90, 56, 36, 55, 99, 55, 67, 42, 51, 63 and 65.
Find the range of the above data.
a.   99
b.   36
c.   63
d.   55

5.  A shelf contains 7 boxes. There are 12 pencils in a box. How many pencils are there in total?
a.   19
b.   5
c.   84
d.   14

6.   Estimate the area of a picture in the given grid:
      Estimate the area
a.   18 sq. units
b.   14 sq. units
c.   12 sq. units
d.   8 sq. units

7.  5 ft 3 in + 2 ft 5 in is equal to ______
a.   7 ft 8 in
b.   8 ft 7 in
c.   3 ft 2 in
d.   0 ft 2 in

8.  2 cm=___ mm
a.   10
b.   20
c.   100
d.   200

9.  There are 8000 grams of rice in a container. Dawn wanted to make 1 kg of rice in each bag. How many bags are required to empty the container?
a.   8000
b.   800
c.   80
d.   8

        Type of triangle
The given triangle is _________
a.   Equilateral triangle
b.   Isosceles triangle
c.   Right triangle
d.   Scalene triangle

11. In a rectangle, which of the following statement is not true?
a.   Sides are equal
b.   The angles are 90 degree
c.   Diagonals bisect each other
d.   Diagonals are equal

12. If a ray makes an angle 50 degree with a straight line, the angle formed is _____
a.   Acute angle
b.   Obtuse angle
c.   Right angle
d.   Straight angle

             Triangle based on angles
The given triangle is ________triangle
a.   Acute
b.   Obtuse
c.   Right
d.   Straight

14. Fill in the missing number in the given number sequence:
1, 4, 10, 13, 16, ___, 22, 25.
a.   17
b.   18
c.   19
d.   20

15. Choose the correct expression for the given statement:
Cathy has n number of apples. He gave away 3 of the apples to his friend.
a.   n+3
b.   3n
c.   n-3
d.   3

16. Jason filled 6 cups of water in the first can. 12 cups of water in the second can and 18 cups of water in the third can. If the pattern continues, which can is filled with 36 cups of water?
a.     4
b.   5
c.   6
d.   7
17.  If y=3+x and x takes the value as 4, then the value of y is ______
a.   7
b.   6
c.   5
d.   4

18.There are 5 green color beads and 6 yellow color beads in a box. Find the probability of selecting a green bead from the box.
a.   5/6
b.   1/11
c.   6/5
d.   1/5
19. Find the median for the given data:
45, 22, 76, 90, 35, 78,92
a.   45
b.   76
c.   78
d.   90

20. The bar graph given below shows the Math scores of grade 4 classmates. Who is in the second highest position?
     Bar Graph
a.   Jack
b.   Tony
c.   Lara
d.   Eric

Nurain Nazuraa

Wednesday, 27 July 2011

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.  ~John Louis von Neumann

Arithmetic is where the answer is right and everything is nice and you can look out of the window and see the blue sky - or the answer is wrong and you have to start over and try again and see how it comes out this time.  ~Carl Sandburg

Pure mathematics is, in its way, the poetry of logical ideas.  ~Albert Einstein

Mathematics are well and good but nature keeps dragging us around by the nose.  ~Albert Einstein

Black holes result from God dividing the universe by zero.  ~Author Unknown

Mathematics - the unshaken Foundation of Sciences, and the plentiful Fountain of Advantage to human affairs.  ~Isaac Barrow

I never did very well in math - I could never seem to persuade the teacher that I hadn't meant my answers literally.  ~Calvin Trillin

I don't agree with mathematics; the sum total of zeros is a frightening figure.  ~Stanislaw J. Lec, More Unkempt Thoughts

If you think dogs can't count, try putting three dog biscuits in your pocket and then giving Fido only two of them.  ~Phil Pastoret

[A mathematician is a] scientist who can figure out anything except such simple things as squaring the circle and trisecting an angle.  ~Evan Esar, 
Esar's Comic Dictionary

Done By, Jannani :)

Tuesday, 26 July 2011

Probability I

7.1    Sample Space

An experiment is a process or an operation with an outcome.

E.g.  1

Toss a balanced dice once and observe its uppermost surface
E.g.  2
 When a coin is tossed, we can only get 2 results :
Ø  Head                      
Ø  Tail                      

The set of all possible outcomes of an experiment is called a sample space.  It is usually denoted by S.

E.g.  3
En. Adam has a fruit stall.  He sells bananas, apples, watermelons, papayas and durians.  Students of 4KP were asked to select their favourite fruit from the variety of fruits sold at En. Adam’s stall.
S = { bananas, apples, watermelons, papayas, durians }

E.g.  4
A month is randomly selected from a year.  Describe the sample space of this experiment by using set notation.
S = { January, February, March, April, June, July, August, September, October, November, December }

7.2    Event

Is a subset of the sample space.
- Is an outcome or a set of outcomes that satisfies certain conditions. 
- Denoted by a capital letter.

E.g.  1
A box contains five cards written with 1, 2, 3, 4 and 5 respectively.  A card is picked randomly from a box.
S = { 1, 2, 3, 4, 5 }
If we define just “the card with even numbers”, the outcome of J in set notation will be
J = { 2, 4 }

E.g.  2
A letter is randomly selected from the word “COMPUTER”.  Determine the number of the possible outcomes of the event that the selected letter is.
        i.            A vowel
      ii.            A consonant
Solution :
Let A = event that the selected letter is a vowel = { O, U, E }
Therefore, n (A) = 3
Let B = event that the selected letter is a consonant = { C, M, P, T, R }
Therefore, n (A) = 5

7.3    Probability of an Event

Probability of an event E,
- P (E) = ___number of outcomes of the event___
              number of outcomes of the sample space
- P (E) = n (E)
                        n (S)
- 0 ≤ P (E) ≤ 1
- P (E) = 0 means that it is impossible for the event to happen.
- P (E) = 1 means that the event is certain to happen.
- The closer the probability of a given event is to 1, the more likely it is to happen.

E.g.  1
A bag contains 3 red balls and 4 white ones.  If Rashid puts his hand in the bag and picks a ball, what is the probability that the ball he picked is white?
Solution :
S = { R1, R2, R3, W1, W2, W3, W4 }
n (S) = 7
Let E is the event of drawing a white ball
E = { W1, W2, W3, W4 }
n (E) = 4
Therefore, the probability of drawing a white ball is :          4

By Melissa Teh