What is the volume of a solid cylinder of diameter 7cm and height 7cm? (Take \(\pi = \frac{22}{7}\))
38.5cm3
77cm3
269.5cm3
1078cm3
Correct answer is C
Volume of a solid cylinder = Base area x height
Base area \(=\pi r^2 =\frac{22}{7} \times \frac{7}{2}\times \frac{7}{2} = \frac{77}{2}\)
Volume of a solid cylinder = \(\frac{77}{2}\times \frac{7}{1} = \frac{539}{2}cm^3\\
=269.5cm^3\)
9(3px - 4y)2
3(3px - 4y)(3px - 4y)
9(px - 4y)(3p x + 4y)
3(3px -4y)(3px +4y)
Correct answer is D
27p2x2 - 48y2; 3(32 p2x2-42y2)
3[(3px) 2 - (4y) 2]; 3[(3px-4y)(3px+4y)]
In the diagram, ∆XYZ is similar to ∆PRQ, |XY| = 5cm, |XZ| =3.5cm and |PR| = 8cm. Find |PQ|
5.6 cm
11.2cm
11.4cm
28.0cm
Correct answer is A
\(\frac{PQ}{PR}=\frac{XZ}{XY}; \frac{PQ}{8}=\frac{3.5}{5}\\
PQ=\frac{8\times 3.5}{5}=\frac{28}{5}=5.6cm\)
Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24.
23.00
17.29
16.50
16.33
Correct answer is B
Mean \(= \frac{sum\hspace{1mm}of\hspace{1mm}all\hspace{1mm}the\hspace{1mm}numbers}{Total\hspace{1mm}Number}\\
\frac{9+13+16+17+19+23+24}{7}\\
\frac{121}{7}=17.2857=17.29\)
Solve the equation 10-3x-x2 = 0
x=2 or-5
x= -2 or 5
x = 1 or 10
x = 2 or 5
Correct answer is A
10 – 3x - x2 = 0; 10 – 5x + 2x - x2 = 0
5(2 – x) + x(2 – x) = 0; (2 – x)(5 + x) = 0
2 – x = 0 or 5 + x = 0; x = 2 or x = -5
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