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Core Maths 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 π‘₯ = {π‘₯: 10 ≀ π‘₯ < 15} and 𝑦 = {𝑒𝑣𝑒𝑛 π‘›π‘’π‘šπ‘π‘’π‘Ÿπ‘  < 18} are subsets of the Universal set U={10,11,12, … ,20}. i. List elements of π‘₯ , y and U ii. Find π‘₯ ∩ 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 ≀ π‘₯ ≀ 10 and βˆ’10 ≀ 𝑦 ≀ 10. a. Draw βˆ† 𝐴𝐡𝐢 with coordinates A(6,8) , B(2,5) and C(7,2) b. Draw the image βˆ† 𝐴𝐼𝐡𝐼𝐢𝐼 of βˆ† 𝐴𝐡𝐢 under an enlargement with scale factor -1 from the origin, where . Label vertices and co-ordinates clearly. c. Draw the image βˆ†π΄πΌπΌπ΅πΌπΌπΆπΌπΌ π‘œπ‘“ βˆ†π΄π΅πΆ under a rotation of 900 about the origin where 𝐴 β†’ 𝐴𝐼𝐼, 𝐡 β†’ π΅πΌπΌπ‘Žπ‘›π‘‘ 𝐢 β†’ 𝐢𝐼𝐼. Label the vertices clearly d. i. What transformation maps βˆ† 𝐴𝐼𝐡𝐼𝐢𝐼 unto βˆ†π΄πΌπΌπ΅πΌπΌπΆπΌπΌ? ii. What is the equation of 𝐡𝐡𝐼 6. 50 children had a choice of Beans, plantain and rice. 21 of them took beans, 24 took plantain and 18 took rice. 3 took beans only. 9 took plantain only and 2 took rice only. 5 took all the three items of food. a. Draw a Venn diagram to illustrate the information b. Use your diagram to find the number of children who took i. Plantain and beans only ii. Rice and Beans only iii. None of the three items iv. Exactly two food item
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