Written solutions

1. ABCDE is a square based pyramid. AC = 20 cm. E is directly above the
centre of the square F. EF = 24cm.
You need to specify which of the following statements are true or false:
(i)
AE is greater than 28cm
(ii)
The volume of the square based pyramid is 3200cm³
(iii) The surface area of the square based pyramid is 1440cm²
(iv) The angle formed by EAF is less than 60°
2. Given that
= 8 × 10 and
= 4 × 10
.
You need to specify which of the following statements are true or false:
(i) 7
(ii)
(iii)
(iv)
= 5.6 × 10
= 3.2 × 10
= 2 × 10
= 2.5 × 10
3. Line P has the equation 2x + 5y = 16.
Line Q has the equation 5y = 2x.
(i)
(ii)
(iii)
(iv)
You need to specify which of the following statements are true or false:
The area of triangle A is greater than the area of triangle B
Line P and Line Q are perpendicular
The perimeter of triangle A is equal to the perimeter of triangle B
The acute angle formed by Line P and the x-axis is less than 22°
4. The graph of
=
− 8 + 12 is plotted.
You need to specify which of the following statements are true or false:
(i) The graph cuts the -axis at points A and B. Where the product of A and
B are more than the y-intercept.
(ii) The line of symmetry is
= −4
(iii) There is a turning point at (4 , -4)
(iv) The line
= −5 intersects with
=
− 8 + 12
( −
5.
)( +
) ≡ 25 − 4
You need to specify which of the following statements are true or false:
(i) The least possible value of
−
(ii) The greatest possible value of
is -3
= 10
(iii) The sum of all 4 possible values of
(iv)
= −2.5,
= 0 and
is 0
= 2.5 are all solutions for 25 − 4
=0
( )=2 +
( )=
+5
( )=6 +
and are constants.
6.
You need to specify which of the following statements are true or false:
(i) The value of c + d = 16
(ii)
(iii)
(iv)
( ) = 6 + 14
( )=
( )>
( ) for all values of
Answers