Nội dung text Math Paper 1-Mr 6points-1 - prince Isaac.pdf
MATHEMATICS (10-12/GCE) SOLVED PAST PAPERS WITH EXPLANATIONS PAPER ONE www.zedmaterials.com www.zedmaterials.com
CONTENTS BASIC ARITHMETIC ............................................................................................................. 1 BASIC ALGEBRA .................................................................................................................. 2 INDICES .............................................................................................................................. 6 COORDINATE GEOMETRY.................................................................................................... 8 FUNCTIONS ........................................................................................................................ 13 SET NOTATION .................................................................................................................... 20 ESTIMATION ...................................................................................................................... 22 MATRICES ........................................................................................................................ 27 SEQUENCES ....................................................................................................................... 31 EARTH GEOMETRY .............................................................................................................. 35 VARIATION ........................................................................................................................ 41 VECTORS ........................................................................................................................... 46 BEARINGS ......................................................................................................................... 49 MENSURATION ................................................................................................................. 54 RATIOS ............................................................................................................................. 59 TRIGONOMETRY ............................................................................................................... 62 CIRCLE THEOREMS ........................................................................................................... 66 COMMERCIAL ARITHMETIC ............................................................................................ 71 COMPUTERS ................................................................................................................... 73 LINEAR PROGRAMMING ................................................................................................. 76 CALCULUS ....................................................................................................................... 83 GRAPHS OF FUNCTIONS ................................................................................................. 85 TIME GRAPHS .................................................................................................................. 90 i STUDY TIPS ....................................................................................................................... ii © Mr 6points www.zedmaterials.com www.zedmaterials.com
ii © Mr 6points MATHEMATICS PAPER 1 (4024/1) This paper comprises of 23 short answer questions with spaces provided below each question for showing essential working where necessary.You will be expected to write your answers clearly in the spaces provided. * You have to show all your working clearly. * You are not allowed to use a calculator. Study Tips The only key to passing mathematics is a lot of practice.Make sure you go through some questions from different topics everyday. The topics that appear in this paper are repeated every year as you will tell from this pamphlet.Therefore its important that you understand those topics and solve as many questions as possible. Note: -You will not use a calculator therefore revise basic mathematics like addition, subtraction,multiplication and division. -Revise past papers from 2016 - present. -Go through this pamphlet regularly after every topic to see how questions are asked in the exam and how to answer them. Once you go through all the questions and answers in this pamphlet,I am certain that you will be ready to face the exam. ALL THE BEST!!!! Mr 6points Mr 6points @ mr_6points Mr 6points www.zedmaterials.com www.zedmaterials.com
1. 2012 P1 Evaluate 7 + 21 ÷ 3 × 7 - 7 7 + 21 ÷ 3 × 7 - 7 Step 1- Divide 21 by 3. = 7 + 7 × 7 - 7 Step 2- Multiply 7 by 7. = 7 + 49 - 7 = 56 - 7 = 49 Step 3- You can either start with 7 + 49 OR 49 - 7. Step 4- Subtract 7 from 56. 2. 2014 P1 Evaluate 14 + 3(7 – 2) – 2 × 5 14 + 3(7 - 2) - 2 × 5 Step 1- Multiply 3 with everything in the brackets. = 14 + 21 - 6 - 2 × 5 = 14 + 21 - 6 - 10 = 35 - 16 = 19 Step 2- Multiply -2 and 5. Step 3- Add 14 and 21 and subtract -10 from -6. Step 4- Subtract 16 from 35. 3. 2015 G.C.E P1 Evaluate 1 + 7 × 3 Step 1- Multiply 7 with 3 and then add 1. 4. 2016 G.C.E P1 Find the value of 3 - 3 x 3 + 3 3 - 3 × 3 + 3 Step 1- Multiply -3 with 3. = 3 - 9 + 3 Step 2- Subtract 9 from 3. = - 6 + 3 = -3 Step 3- Add -6 and 3. Step 2- Add 1 and 21. 1 TOPIC 1 - BASIC ARITHMETIC © Mr 6points 1 + 7 × 3 = 1 + 21 = 22 www.zedmaterials.com www.zedmaterials.com