ABSTRACT
R2 + X2 When R = 4.8, X = 10.5 and I = 15, the value of voltage V is: (a) 173.18 (b) 1.30 (c) 0.98 (d) 229.50
9. If log2 x = 3 then: (a) x = 8 (b) x = 3
2 (c) x = 9 (d) x = 2
10. The height s of a mass projected vertically upwards at time t is given by: s = ut − 1
2 gt2. When
g = 10, t = 1.5 and s = 3.75, the value of u is: (a) 10 (b) −5 (c) +5 (d) −10
11. The quantity of heat Q is given by the formula Q = mc(t2 − t1). Whenm = 5, t1 = 20, c = 8 and Q = 1200, the value of t2 is: (a) 10 (b) 1.5 (c) 21.5 (d) 50
12. The pressure p pascals at height h metres above ground level is given by p = p0e−h/k , where p0 is the pressure at ground level and k is a constant. When p0 is 1.01× 105Pa and the pressure at a height of 1500m is 9.90× 104 Pa, the value of k, correct to 3 significant figures is: (a) 1.33× 10−5 (b) 75000 (c) 173000 (d) 197
13. Electrical resistance R = ρ a
; transposing this equation for gives:
(a) ρ a R
(b) R aρ
(c) a Rρ
(d) Ra ρ
14. The solution of the simultaneous equations 3x − 2y = 13 and 2x + 5y = −4 is: (a) x = −2, y = 3 (b) x = 1, y = −5 (c) x = 3, y = −2 (d) x = −7, y = 2
15. The value of 3.67ln21.28 e−0.189
, correct to 4 significant figures, is: (a) 9.289 (b) 13.56 (c) 13.5566 (d) −3.844× 109
16. A formula for the focal length f of a convex lens is
1 f =
1 u
+ 1 v
When f = 4 and u = 6, v is:
(a) −2 (b) 12 (c) 1 12
(d) −1 2
17. Volume = mass density
. The density (in kg/m3) when the mass is 2.532kg and the volume is 162cm3 is: (a) 0.01563kg/m3 (b) 410.2kg/m3
(c) 15630kg/m3 (d) 64.0kg/m3
18. In the 5.0 3.0
, x has a value
correct to 3 significant figures of: (a) 1.59 (b) 0.392 (c) 0.0625 (d) 0.548
19. PV = mRT is the characteristic gas equation. When P = 100× 103, V = 4.0, R = 288 and T = 300, the value of m is: (a) 4.630 (b) 313600 (c) 0.216 (d) 100592
20. The quadratic equation in x whose roots are−2 and +5 is: (a) x2 − 3x − 10 = 0 (b) x2 + 7x + 10 = 0 (c) x2 + 3x − 10 = 0 (d) x2 − 7x − 10 = 0
21. The current i amperes flowing in a capacitor at time t seconds is given by i = 10(1− e−t/CR), where resistance R is 25× 103 ohms and capacitanceC is 16× 10−6 farads.When current i reaches 7 amperes, the time t is: (a) −0.48 s (b) 0.14 s (c) 0.21 s (d) 0.48 s
22. In a system of pulleys, the effort P required to raise a load W is given by P = aW + b, where a and b are constants. If W = 40 when P = 12 andW = 90 when P = 22, the values of a and b are: (a) a = 5, b = 1
4 (b) a = 1, b = −28
(c) a = 1 3 , b = −8
(d) a = 1 5 , b = 4
23. Resistance R ohms varies with temperature t according to the formula R = R0(1+αt). Given R = 21 , α = 0.004 and t = 100, R0 has a value of: (a) 21.4 (b) 29.4 (c) 15 (d) 0.067
24. 8x2 + 13x − 6 = (x + p)(qx − 3). The values of p and q are: (a) p = −2, q = 4 (b) p = 3, q = 2
(c) p = 2, = 8 (d) p = 1, q = 8
25. (1/4) log 16− 2 log 5+ (1/3) log 27 is equivalent to:
(a) − log 20 (b) log 0.24 (c) − log 5 (d) log 3 26. The height S metres of a mass thrown verti-
cally upwards at time t seconds is given by S = 80t − 16t2. To reach a height of 50 metres on the descent will take the mass: (a) 0.73 s (b) 5.56 s (c) 4.27 s (d) 81.77 s
27. The roots of the quadratic equation 8x2 + 10x − 3 = 0 are:
(a) −1 4
and 3 2
(b) 4 and 2 3
(c) −3 2
and 1 4
(d) 2 3
and −4
28. The volume V2 of a material when the temperature is increased is given by V2 = V1
[ 1+ γ (t2 − t1)
] .
