Core Maths Try questions 1. Evaluate 2. A travel magazin | WASSCE HEADQUARTERS

Core Maths Try questions

1. Evaluate
2. A travel magazine contains pictures of 24 tourist sites from different countries. The table below shows how many tourist sites there are from each country

COUNTRY NUMBER OF TOURIST
SITES ANGLE IN PIE CHART
Korea 6 900
South Africa 10 1500
Australia 3
New Zealand

a. Copy and Complete the table above
b. Draw a pie Chart to illustrate the data
3. a. A function is defined by , find
i.
ii. The value of x which makes the function undefined

4. a. Given that 𝑥 = {𝑥: 10 ≤ 𝑥 < 15} and 𝑦 = {𝑒𝑣𝑒𝑛 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 < 18} are subsets of the Universal set U={10,11,12, … ,20}. i. List elements of 𝑥 , y and U
ii. Find 𝑥 ∩ 𝑦

b. 124𝑛 = 232𝑓𝑖𝑣𝑒 . Find n


5. Using a scale of 2cm to 2 units on each axis, draw on a sheet of graph paper two perpendicular axes OX and OY, for intervals 10 ≤ 𝑥 ≤ 10 and −10 ≤ 𝑦 ≤ 10.

a. Draw ∆ 𝐴𝐵𝐶 with coordinates A(6,8) , B(2,5) and C(7,2)

b. Draw the image ∆ 𝐴𝐼𝐵𝐼𝐶𝐼 of ∆ 𝐴𝐵𝐶 under an enlargement with scale factor -1 from the origin, where . Label vertices and co-ordinates clearly.

c. Draw the image ∆𝐴𝐼𝐼𝐵𝐼𝐼𝐶𝐼𝐼 𝑜𝑓 ∆𝐴𝐵𝐶 under a rotation of 900 about the origin where 𝐴 → 𝐴𝐼𝐼, 𝐵 → 𝐵𝐼𝐼𝑎𝑛𝑑 𝐶 → 𝐶𝐼𝐼. Label the vertices clearly

d. i. What transformation maps ∆ 𝐴𝐼𝐵𝐼𝐶𝐼 unto ∆𝐴𝐼𝐼𝐵𝐼𝐼𝐶𝐼𝐼?
ii. What is the equation of 𝐵𝐵𝐼