The area of a circular plate is one-sixteenth the surface area of a ball. If the area of the plate is given as P cm², then the radius of the ball is
2Pπ
P√π
P√2π
Correct answer is D
Surface area of a sphere = 4πr2 116 of 4πr2 = πr24 P = πr24 r = 2Pπ
The difference between the length and width of a rectangle is 6cm and the area is 135cm². What is the length?
25cm
18cm
15cm
24cm
27cm
Correct answer is C
Area = L x B L - B = 6 L = 6 + B area = 135 B(6 + B) = B2 + 6B - 135 = 0 B = 9 L = 6 + 9 = 15
The positive root of t in the following equation, 4t2 + 7t - 1 = 0, correct to 4 places of decimal, is
1.0622
10.6225
0.1328
0.3218
2.0132
4t2+7t−1=0
Using a = 4, b = 7, c = -1.
x=−b±√b2−4ac2a
= −7±√72−4(4)(−1)2(4)
= −7±√49+168
= −7±√658
= −7±8.06238
The positive answer = −7+8.06238=1.06238
≊ (4 decimal place)
Evaluate \frac{6.3 \times 10^5}{8.1 \times 10^3} to 3 significant fiqures
77.80
778.0
7.870
8.770
88.70
Correct answer is A
\frac{6.3 \times 10^5}{8.1 \times 10^3}
\frac{7}{9} \times 10^{2}
= 0.77778 \times 10^{2}
= 77.778 \approxeq 77.80
The number 25 when converted from the tens and units base to the binary base (base two) is one of the following
10011
111011
111000
11001
110011
\begin{array}{c|c} 2 & 25\\2 & 12 R 1\\2 & 6 R 0\\2 & 3 R 0\\2 & 1 R 1\end{array} = (11001)
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