Math Answers

Show your solution using the critical value method.

a previous study on the effect of blended learning module on senior high school student's achievement revealed that mean score pi is 85 with standard deviation of 3. juliana, a senior high school statistic teacher, surveyed a class of 30 students test the hypothesis at a 0.10 level of significance

This question combines the concepts platonic solids, prisms, pyramids and polyhedra.

a) Are any Platonic solids pyramids? If so, which one(s)? Name the pyramid and explain why it is a pyramid (3).

b) Are any Platonic solids prisms? If so, which one(s)? Name the prism and explain why it is a prism (3). 

c)  All Platonic solids are polyhedral. Is this statement true? Explain why you say so (2).

d) Name a non-polyhedron and say why it cannot be a platonic solid (2).

Multiply 62 by 35, firstly by breaking down 35 in its terms (30 + 5) and secondly by breaking down 35 in its factors (5 x 7). Show all your steps.

(a) 62 x (30 + 5)

(b) 62 x (5 x 7)

Which base-10 (Dienes) blocks represent the sum of 1034 and 675?

Show your calculation and explain how the base 60 number system is used to subtract 48 minutes from 2 hour 13 minutes.

My calculation (3)

Explanation of my steps (3)

Many learners struggle to make the leap from understanding whole number to understanding rational number (which includes whole numbers and fractions). Describe what you will do to help a learner who cannot position  correctly on a number line.

Below are five test items, each belonging in one of the four cognitive levels of CAPS: knowledge, routine procedure, complex procedure or problem solving. Indicate in each case to what cognitive level the question belongs:

(a) What is the temperature difference between 17°C maximum – 3°C minimum?

(b) Ben walks to school in 48 minutes. Nomsa goes by bicycle in half the time that Ben walks. Koki goes by taxi in half the time that Nomsa goes by bicycle. At what time do they all start at home if they all arrive at school at 07:15?

(c)  How many centimeters are in a meter?

(d)  What is the mode of the data set below:

5; 6; 1; 4; 7; 3; 8; 2; 4; 3; 8; 9; 4; 6; 1; 2; 6; 5

(e) Calculate the area of the darker shaded outer part below. The larger rectangle is 15cm long and 9cm wide; the sides of the smaller square are 5cm each.

In modern mathematics teaching we want relational understanding, in addition to instrumental understanding. Describe how a teacher would teach for both instrumental and relational understanding of long division 357÷19.

Teaching long division of 357÷19 for instrumental understanding

Teaching long division of 357÷19 for relational understanding

Base 10 place value system                                                                                   

(a) Where is early evidence of the base 10 place value system? (1)

(b) Approximately to what year does this evidence date back? (1)

(c) Give some detail of the base 10 place value system. (2)

(d) When in CAPS do learners start learning the base 10 place value system? (1)

Multiplication and division                                                                         

(a) Where do we find early evidence of multiplication and division? (1)

(b) Approximately to what year does this evidence date back? (1)

(c) Give detail of how people multiplied and divided in your example. (2)

(d) Where in CAPS do learners start multiplying and dividing? (1)