WorksheetsPAPASA OR MADEDEPRESS
Total questions: 20
Worksheet time: 20mins
There are 25 problems in a mathematics competition. The scores of each problem are
allocated in the following ways: 2 marks will be given for a correct answer, 1 mark will be
deducted from a wrong answer and 0 marks will be deducted for a blank answer. Find the
minimum number of candidate(s) to ensure that 8 candidates will have the same scores in the
competition.
(a)
Use hexadecimal number system (base 16) to represent quaternary number 310211(base4).
(a)
Determine the largest 2-digit prime number that is equal to the sum of 3 unique prime
numbers.
(a)
15th September 2024 is Sunday. Which day of the week will 16th November 2035 be?
(a)
Find the sum of the last two digits of 1! + 2! + 3! + ⋯ + 23! + 24!.
(a)
(a)
(a)
(a)
Find the value of x such that x = √x + 240
(a)
Given it is Monday tomorrow, which day of the week will it be 265^224 days after today?
(a)
Given that x is a 3-digit number, find the smallest possible value of x such that x = 39√x − 378.
(a)
(a)
Find the remainder when 1946^9641 is divided by 34.
(a)
If x > 0, x is a 4-digit number and {x ≡ 11 (mod 19), x ≡ 11 (mod 23), find the maximum value of x.
(a)
Given straight line L passes through A(8, −5) and the slope of L is 1/5, find the x-intercept of L.
(a)
In ∆ABC, AB = 19, AC = 30, BC = 48. Find the value of sinB/sinC
(a)
The side lengths of a triangle are 17,20,35. Find the area of this triangle. (Answer in terms of
simplest surd form)
(a)
Given that an exterior angle of an n-sided regular polygon is 18°, find the value of n.
(a)
In ∆ABC, AB = 24, AC = 45, and BC = 51. Find the value of cosB/cos C.
(a)
Find the average of the following number sequence:
259,161,56,265,168,63,272,175,70, ... ,2106,2009,1904,2115,2116,1971.
(a)
