In the diagram, the value of x + y = 220o. Find the value of n
20o
40o
60o
80o
Correct answer is B
y + z = 180o
z = 180o - y
x + k = 180o
k = 180o - x
the sum of angles in the \(\bigtriangleup\) are: n + z + k = 180
but n + 180o - y + 180o - x = 180o
n + 180o - y - x = 0
but we want to find n
n + 180o = x + y
but x + y = 220o
n + 180o = 220o
n = 220o - 180o
n = 40o
\(\frac{11}{18}\)
\(\frac{11}{20}\)
\(\frac{7}{22}\)
\(\frac{5}{19}\)
Correct answer is B
at most 2 marks = 5 + 2 + 4 students = 11 students
probability(at most 2 marks) = \(\frac{11}{20}\)
The bar chart shows the scores of some students in a test. How many students took the test?
18
19
20
22
Correct answer is C
score 0 = 4 students
score 1 = 2 students
score 2 = 5 students
score 3 = 6 students
score 4 = 3 students
= 20 students
4.5cm
5.0cm
7.5cm
20.0cm
Correct answer is A
volume of cylinder = \(\pi r^2h\)
volume of cylinder p = \(\pi r^2 \times 10\)
= 10\(\pi r^2\)
volume of cylinder Q = \(\pi (2r)^2 h\)
= 4\(\pi r^2\)h
4\(\pi r^2 = 10 \pi r^2 h\)
h = \(\frac{10}{4} = 4.5cm\)
In what modulus is it true that 9 + 8 = 5?
mod 10
mod 11
mod 12
mod 13
Correct answer is C
9 + 8 = 17
17 + mod 12 = 1 rem 5
it is mod 12
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