MARKING SCHEME PAPER 2 SA1 SECONDARY 3 MATH

1(a)A1

(b)

M1

A1

(c)It represents the total selling price and total cost price of each shop.B1

(d)

This gives the profit earned by each shop.

A1B1

Alternate working

(a)A1

(b)

M1

A1

(c)It represents the total selling price and total cost price of each shop.B1

(d)

This gives the profit earned by each shop.

2(a)

M1

A1

(b)

M1A1

(c)

OR

Decimals and mixed numbers are acceptable

Answers based on formula or directly from calculator are not acceptableM1

B1

A1, A1

M1

A2

3(a)A1

A1

A1

(b)155 is not a perfect square numberB1

(c)B1

(d)B1

(e)B1

(f)B1

4(a) =

If the students take the common denominator as accept the working and award the mark if the working is correctM1

M1

B1

(b)=2 implies gives

M1

B1

B1

A1

5(a)If he does not produce any shirt he will lose $200.A1

(b)A1

(c)Axes 1 markPlotting the points correctly 1 markDrawing a smooth curve 1 mark

(d)(i)$ 412.50 A1

(ii)Maximum = $653 Profit per shirt = $12B1B1

(e)Draw the line 10 or 67B1B1

6(a)B1

(b)B1

(c)

M1

M1

B1

(d)

B1

A2

(e)A1

7(a)(i)Vol.of the smallest box

M1

A1

(ii)Vol. of 40 spheres

% of total vol.filled by spheres

M1

M1

A1

(iii)Amt of paint used on 40 spheres

No. of complete boxes painted with 7L of paint

M1

M1

A1

b(i)Vol. of cylinder

M1

A1

(ii)Total vol. of turbine = 600 m3

M1

A1

8(i) =

A1A1

(ii)Gradient of Gradient of Gradient of A1A1A1

(iii)Since the gradients are different, these will be three intersecting straight lines (none of which is parallel or coincident)B1

(iv)It is an isosceles triangleB1

(v)Since it passes through ( 7, 9 ) ,

M1

B1

(vi)Since it passes through ( 2, 4 ),

M1

B1

9(a)(i)59A1

(ii)A1

(iii)70A1

(iv)

A1

b(i)Since the squares of all the negative number is positive and the square of 0 is 0, 0 is the least valueB1

(ii)48A1