Initial Diagnostic Audit - Unit B2: Formulae
Section B2.1 - Using Formulae
1.
The perimeter of a square of side length a is given by P = 4a a = 10 cm? P =
2. The surface area of a cuboid of side lengths a , b and c is given by the formulaSA = 2(ab + bc + ca )SA = 2
3.
The volume of a cuboid with side lengths a , b and c is given by
V = abc V = 3
4. The final speed of a car is given by v = u + at
where u is the initial speed, a the acceleration and t , the time.v when u = 50 mph, a = 100 mph2
and t = 15 minutes. v =
(b) Find v when u = 0 mph, a = 50 mph2
and t = 6 minutes. v =
Section B2.2 - Construct and Use Simple Formulae
5.
(a) What is the formula for the perimeter, P , of this shape?
P =
(b) In the figure above, if a = c = 2 m, b = 10 m, f =
d = 2 m and e = 7 m, what is the value of P ?P =
6. What is the formula for the area of this shape?
Area = a 2
7. A central heating engineer's call-out fee is £40 plus £20 for each ¼ hour worked.
(a) What is the formula for his total charge if he works for x hours?
C = £(x )
(b) What will be the total charge if he works for 45 minutes? C = £
Section B2.3 - Revision of Negative Numbers
8. 7 – 10 =
9. -6 + 8 =
10. (-2) × (-3) =
11. (-16) ÷ 4 =
12. (-48) ÷ (-6) =
Section B2.4 - Substituting into Formulae
13. The formula for converting temperatures in degrees Celsius, C , to degrees Fahrenheit, F , is given by the formula
F = 9C + 32 5
(a) What is F if C = 0? F =
(b) What is F if C = 20? F =
(c) What is F if C = -20? F =
14. The formula for the distance s , travelled in t seconds is
s = 1 (u + v )t 2
where u is the initial velocity and v is the final velocity.
(a) What is s if u = 2, v = 8 and t = 5?
s =
(b) What is s if u = -2, v = 10 and t = 12?
s =
Section B2.5 - Changing the Subject
When completing this section, use fractions and conventional algebraic notation to avoid using and ÷ symbols in your answers
15. Make x the subject in each of the following formulae.
16.
17.
