Simplify: \(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))
18
16
14
12
Correct answer is A
\(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))
\(\sqrt{4 \times 3} (6 \times 3 - \sqrt{3}) = 2 \sqrt{3}(4 \sqrt{3} - \sqrt{3})\)
= 2\(\sqrt{3} \times \sqrt{3} (4 - 1) 2\sqrt{9}(3) = 2 \times 3 \times 3 = 18\)
\(\frac{11}{18}\)
\(\frac{11}{20}\)
\(\frac{7}{22}\)
\(\frac{5}{19}\)
Correct answer is B
at most 2 marks = 5 + 2 + 4 students = 11 students
probability(at most 2 marks) = \(\frac{11}{20}\)
The volume of a cube is 512cm3. Find the length of its side
6cm
7cm
8cm
9cm
Correct answer is C
volume of cube = L x L x L
512cm3 = L3
L3 = 512cm3
L = 3\(\sqrt{512}\)
L (512)\(\frac{1}{3}\)
= (29)\(\frac{1}{3}\)
23 = 8cm
If 23x = 325, find the value of x
7
6
5
4
Correct answer is A
23x = 325
2 \(\times x^1 + 3 \times x^0 = 3 \times 5^1 + 2 \times 5^0\)
= 2x + 3 = 15 + 2
2x + 3 = 17
2x = 17 - 3
2x = 14
x = \(\frac{14}{2}\)
x = 7
Simplify 10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)
6\(\frac{4}{15}\)
6\(\frac{11}{15}\)
7\(\frac{4}{15}\)
7\(\frac{11}{15}\)
Correct answer is B
10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)
\(\frac{52}{5} - \frac{20}{3} + \frac{3}{1}\)
= \(\frac{156 - 100 + 45}{15}\)
\(\frac{156 + 45 - 100}{15}\)
= \(\frac{201 - 100}{15}\)
= \(\frac{101}{15}\)
= 6\(\frac{11}{15}\)