This document contains 5 questions with multiple parts about mathematics problems. Question 1 involves determining the number of ways to make change using coins, providing questions to help students understand a word problem, and using manipulatives to teach addition with regrouping. Question 2 involves calculating combinations of yogurt flavors and toppings. Question 3 involves purposes of estimation and estimating a multiplication problem. Question 4 discusses reasons for teaching geometry in primary school and providing an example of its application. Question 5 analyzes median home sale prices by US region from 1998-1999 and describes distributions represented by two frequency polygons.

1. Answer all questions
1. (a) Using Polya model, choose the best strategy to solve this problem.
Determine how many ways RM1 can be changed to coins of 10 cents,
20 cents and 50 cents ?
(b) With reference to the following word problem, answer the questions given.
(i) As a teacher, give two suitable questions to help the student understand the above
problem.
2. ‘Pencil and paper’ and ‘manipulative materials’ are two of the important means of
performing calculation.
(a) You are teaching your students “ addition with regrouping”
Suggest one example of manipulative materials to explain the addition
procedure.
(b) By using the suggested manipulative materials in (a), elaborate
how you use it to explain the concept of “addition with regrouping”
1
Customers at a particular yogurt shop may select one of three flavors
of yogurt. They may choose one of four toppings. How many one-
flavor, one-topping combinations are possible?

2. 3. Sometimes we have to do rough estimation in our daily life.
(a) List down 2 purposes of doing rough estimation in our daily life.
(b) Estimate the product of 28 x 41
4 Geometry should be introduce into Mathematics Primary school curriculum
(a) List five reason why geometry should be taught in primary school
(b) Knowledge on geometry and spatial sense is important in our daily life
Give one example and simple explanation where geometry is applicable in
our daily life
5. (a) Median Sales Price of Existing Single-Family Homes
Year United State Northeast Midwest South West
1998 $181,900 $240,100 $179,000 $159,700 $200,500
1999 $195,800 $249,200 $187,000 $173,500 $222,000
Source: U.S. Department of Housing and Urban Development
(i) The median sales price in 1999 for the entire country was $195,800.
Explain what this means.
(ii) Explain why median sales prices, rather than mean sales prices, are reported.
(iii) Without using specific numbers, write two statements that summarize the trends shown
by the median sales prices.
(b) For each frequency polygon shown below, describe a situation that might in distribution
of scores that takes on this shape.
(i)
2

3. (ii)
3
Score
Frequency
Score
Frequency