O Level Math Challenge

Brain Teaser!

Source: Brilliant.org

 There are 3 boxes, exactly one of which has a car. You can keep the car if you pick the correct box!

On each box there is a statement, exactly one of which is true.

Box 1: The car is in this box.

Box 2: The car is not in this box.

Box 3: The car is not in box 1.

Which box has the car?

 Scroll down for answer.

Try!

TRY AGAIN

Box 2! Did you get it right? :D

2016 4048 Elementary Mathematics EMath Paper 1 and 2 Suggested Solutions

My solution

Let Shifu's age be y and Tudi's age be x.

5 + (y-x) = x --- eqn 1

y + (y-x) = 71 ---eqn 2

Solve simultaneously,

x = 27 and y = 49

Shifu is 49 and Tudi is 27 :)

If your method differs from mine, do share by leaving a comment.

2015 O LEVEL EMATH PAPER 2 SUGGESTED SOLUTIONS

O LEVEL EMATH PAPER 1 SUGGESTED SOLUTION

'By far the most challenging paper set by Cambridge' - Majority of the O level takers 2015

Questions like
HCF/LCM
Probability
Profit/Loss
Mean/Standard deviation
Proportion - Fence panels
were in my list of FAQs.

These are the suggested solutions, completed within 3600 seconds.

Joshua and Peter were travelling from Town A to Town B in their respective vehicle. They were both travelling at constant speed throughout the journey. Joshua’s speed was 75km/h. When Peter reached the mid-point, Joshua was 22.5 km ahead of him. What time did Peter reach Town B if Joshua reached Town B at 1145am?

1.      (a) A number has exactly 8 factors. Two of the factors are 6 and 21.

(i) List all the factors of the number.

(ii) State the number

(b) At a fund-raising event, May wants to sell single-scoops of ice-cream in a cone. Ice-cream cones are sold in boxes of 12. Each tub of ice-cream can make 38 single scoops of ice-cream. What is the minimum number of tubs of ice-cream she should get to ensure that there is no come or ice-cream remaining?

New

Review of the Mathematics Curriculum at Secondary Level

GCE O Level 2014 EMath Paper 2 Suggested Solutions

[QOTW] Question of the Week

Joshua and Peter were travelling from Town A to Town B in their respective vehicle. They were both travelling at constant speed throughout the journey. Joshua’s speed was 75km/h. When Peter reached the mid-point, Joshua was 22.5 km ahead of him. What time did Peter reach Town B if Joshua reached Town B at 11.45 am?

2013 4016 Elementary Mathematics Emath Paper 2 Suggested Solutions

Challenging Number Pattern?

Study the number pattern.

1, 3. 5, 3, 5, 7, 5, 7, 9, 7, 9, 11

(a) At what position does the first 15 appear?
(b) Find the value of the 27th number.
(c) Find the sum of the first 30 numbers.


Answers:
1,3,5,3,5,7,5,7,9,7,9,11,9,11,13,11,13,15,13,15,17,15,17,19,17,19,21...
(a)  18th Position
(b) 21
(c) 360

Question of the week QOTW

Question of the Week (QOTW)

Two pipes, A and B, take 7 hours  and 11 hours respectively to fill up a swimming pool. After two              pipes are turned on for an hour, Pipe A is turned off. How long does it take for Pipe B to fill the          remainder?