KCSE Past Papers Maths B - KNEC KCSE Online Past Papers

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Histogram - 1 1 d. Frequency Polygon - - - 1 e. Communication Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf 1 1 - 1 Total Questions 16 16 16 16 5 www. What are the information given? Any number, data, graph, chart, diagram and other information given must be used to get your answer.

What are the key words given in the questions? These key words are normally found in the instructions and they serve as indicators Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf as to what method should be used to solve the problem.

They also indicate the type of answer required. Other examples will be given in each topic and would be discussed later.

What does the question want? Make sure you know what to find the task. The task is normally phrased as the last sentence. Answer all 40 questions. Read every question carefully. Underline or highlight the keywords and other information given. Use the correct formula. Answer the easy questions first. Attempt the difficult Question And Answer Mathematics Form 3 For Pdf ones later. Use the extra time to check your answers. Apply the rules below. Try not to take too long a time to answer a question.

If stucked, mark Question And Answer Mathematics Form 3 For Pdf with a symbol for example: X and proceed to the other questions. Shade the answers with a 2B pencil in the correct answer box on the objective answer Question And Answer Mathematics Form 3 For Pdf sheet provided.

Make sure all the answers are blackened before the examiner collect the papers. Answer according to the task word given. Read the questions carefully. Use the Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf information given such as numbers, data, graph, chart, figures as well as other information to get the answer. Decide how to present your answer based on the task words.

Instructions on scale: Using the scale of 2 cm 1 big square to represent 5 units� Do not change the scale. Any reduction or alteration to this scale will result in marks being deducted. Simultaneous Linear Equations Simultaneous linear equations in two unknowns can be solved using elimination or substitution method.

Add the 2 equations if Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf the similar terms have different signs and subtract if they have the same sign. Quadratic Expressions and Quadratic Equations Important concepts: 1. Note that i. It involves only one Question And Answer Mathematics Form 3 For Pdf variable. The highest power of the variable is 2.

To find the solutions for a quadratic equation, it is the same as finding the roots of the quadratic equation. A small hemisphere with radius 1 cm is removed from the cone as shown. A group of 7 boys and 5 girls, take part in a holiday camp in a recreation ground. Each day, two pupils are chosen to write a daily report. They are exempted from writing the report on the second day. Calculate the Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf probability that both pupils chosen to write the report on the second day are of the same gender.

A quiz contest, there are three categories of questions consisting Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf of 8 questions on history, 7 questions on geography and 5 questions on general knowledge. Each question is placed inside an envelope. All of the envelopes are similar Question And Answer Mathematics Form 3 For Pdf and put inside a box. All the participants of the quiz contest are requested to pick at random two envelopes from the box. Find the probability that the first participant picks a The first envelope with a history question and the second envelope with a general knowledge question, b Two envelopes with question of the same category.

The table shows the number of students from a group of students classified according to forms and clubs. Numbers of members Club Form four Form five Photography 9 11 Arts 10 10 History 16 14 a Two students are selected at random from the group. Calculate the probability that both are Form five students from the Question And Answer Mathematics Form 3 For Pdf photography club.

Calculate the probability that both come from the same club. There are 7 red pens, 8 blue pens and 5 black pens in a drawer. Ahmad takes Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf out two pens from his drawer in the dark.

Implication 1 : ������������������������ Implication 2 : ������������������������ c Complete the premise in the following argument. The area of the square is 25 cm2 if and only if its sides are 5 cm.

Implication 1 : ������������������������� Implication 2 : ������������������������� d Complete the premise in the following argument. Premise 1 : If a number is a factor of 8, then that number is a factor of Premise 2 : 6 is not a factor of Conclusion : �������������������������.

Some of the triangles are right-angled triangles. Premise 1 ��������������������������.. Premise 2 : John is a student in the account class. Conclusion : John passed the SPM examination.

PQ is parallel to RS. O is 2 the origin. It is given that the gradient of the straight line BC is 2 and y-intercept of the straight line CD is Find: a The Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf value of k. Point A and point D lie on the x-axis. Find: a the coordinates of the point D. O is the origin. Calculate: a The value of u if the rate of change of speed for the first 4 s is 3 ms Drawing the curve using "free hand" - Join all the points by Form Pdf For And Mathematics Answer Question 3 using a is more suitable.

The minimum or the maximum points cannot be sharp. Find the value of y or x when given - Draw parallel line to the y � axis from value of x or y from the graph. State the value on the graph or in State the value of y. Determine the solutions by reading off Make sure your straight line cuts the the x-coordinates of the point of original graph the curve at at least one intersection of the two Question And Answer Mathematics Form 3 For Pdf graphs. Example : Graph of Functions. State this value of x.

Ensure that all the points must be marked on the graph paper. Make sure you use 2 cm Question And Answer Mathematics Form 3 For Pdf big square to mark each axis.

Step 4 Plot all the points from left to right using the x, y co-ordinates. Caution on the point which involves decimals. The Question And Answer Mathematics Form 3 For Question And Answer Mathematics Form 3 For Pdf Pdf value of Ensure there is no straight portion and that your graph is smooth, neat and no double line.

Step 6 Find the value of y when x Question And Answer Mathematics Form 3 For Pdf is given 1 mark Find the value of x when y is given 1 mark Step 7 Drawing the line. Write the original equation and the given equation. Choose Question And Answer Mathematics Form 3 For Pdf 2 points only 1. Use a 30 cm ruler to join the pair of points. Make sure the line is long enough and it cuts the curve.Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf

From this intercept point, draw a line parallel to the y � axis until it cuts the x-axis. Read the value of x. State the centre and scale factor Question And Answer Mathematics Form 3 For Pdf of the enlargement. State the coordinates of the image of point 2, 1 under the following transformation: i T, ii P, iii TP. Describe in full i transformation Question And Answer Mathematics Form 3 For Pdf V , ii transformation W, and iii a single transformation which is equivalent to WV.

State the coordinates of the image of point 3, 1 under the following transformation: i P, ii TP, iii RT. Transformation R represents a rotation of 90o in the anti-clockwise direction at point 1, 4. State the coordinates of the image of point 3, 1 under the following transformation: i R, ii PR. Describe in full a transformation V, b a single transformation which is equivalent to transformation WV. Draw the Question Pdf Answer For 3 Form And Mathematics correct diagram whether it is right or wrong The correct rotation of your answer is accepted.

The image is formed by looking at perpendicular lines, that is , the normals coming from the object and intersecting the plane of view. Student can re-arrange the given data according to the size of the class interval. Student can add an extra class Polygon begins with frequency 0 interval from the given data with frequency 0.

Able to draw the frequency All the midpoints plotted are joined by polygon by using frequency and the using a ruler. Join all the midpoints to create a frequency polygon. Able to find information from the Able to define the class Question And Answer Mathematics Form 3 For Pdf mode. The data below shows the height in cm for a group of students. Class Interval Frequency Midpoint - 0 - 6 4 6 8 9 7 0 Question And Answer Mathematics Form 3 For Pdf Step 1 Complete the table.

Start with frequency 0 that is one class interval before it. Fill in the frequency. Write the number not a tally mark. Step 4 Check that the total of frequency is Note Start with the value of midpoint frequency 0 , that is one class interval before the first class interval in the table.

Mark the equivalent value for the frequency value on y - axis. The midpoint for frequency 0 has to be stated. Join the points with a ruler to form a straight line. Most of the students have the height of - cm 2 marks 2. Data below shows the body mass in kg, for a group of students. Able to re-arrange the given data -Complete the class interval given according to the class interval given. Able to add a size of class interval from Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf - Add a size of class interval for frequency the given data for the upper boundaries for 0, that is one class interval before frequency 0 c.

Able Question And Answer Mathematics Form 3 For Pdf Question And Answer Mathematics Form 3 For Pdf to find the upper boundaries of each of the class interval d. Able to find the midpoint of the class interval e. Able to find the cumulative frequency for Question And Answer Mathematics Form 3 For Pdf each of the class interval d. Able to draw OGIVE by using Join the plots of the upper boundaries that cumulative frequency and the boundaries is marked using "free hand" to form a value of class interval.

Join all upper curve. Able to define quartile Able to relate the quartile and the related data percentage. Speed km h-1 Frequency Midpoint 51 � 55 2 56 � 60 6 61 � 65 18 66 � 70 15 71 � 75 9 76 � 80 5 81 Question And Answer Mathematics Form 3 For Pdf � 85 1 i Find the midpoints of the class intervals. By using a scale of 2 cm to 5 km h-1 on the x axis and 2 Question And Answer Mathematics Form 3 For Pdf cm to 5 cars on the y-axis, draw an ogive for the data. Hence, find i the median ii the inter quartile range.

Implication 1 : ������������������������ Implication 2 : Question And Answer Mathematics Form 3 For Pdf ������������������������ e Complete the premise in the following argument. The area of square is 25 cm2 if and only if its sides are 5 cm. Implication 1 : ������������������������� Implication Question And Answer Mathematics Form 3 For Pdf 2 : ������������������������� h Complete the premise in the following argument. Premise 1 : If one number is a factor of 8, then that number is a factor of Implication Question And Answer Mathematics Form 3 For Pdf 2 : If its sides are 5 cm, then the area of square is 25 cm2 d Conclusion : 6 is not a factor of 8.

Complete the statements below Question And Answer Mathematics Form 3 For Pdf to form a true statement. How many small dogs have signed up to compete? This question comes directly from a second grader's math homework. To figure out how many small dogs are competing, you have to subtract 36 from 49 and then divide that answer, 13 by 2, to get 6. You then have to add Question And Answer Mathematics Form 3 For Pdf 6. Add 8. Adding two decimals together is easier than it looks. All you have to do is add a 0 to the end of 8.

I am an odd number. Take away one letter and I become even. What number am I? There is a basket containing 5 apples, how do you divide the apples Question And Answer Mathematics Form 3 For Pdf Answer Question 3 Pdf Mathematics And Form For among 5 children so that each child has 1 apple while 1 apple remains in the basket?

There is a three-digit number. The second digit is four times as For Form 3 Answer And Question Pdf Mathematics big as the third digit, while the first digit is three less than the second digit. What is the number? Fill in the question mark. Why not? A Question And Answer Mathematics Form 3 For Pdf ship anchored in a port has a ladder which hangs over the side. The length of the ladder is cm, the distance between each rung in 20cm and the bottom rung touches the water.

The tide rises at a rate of 10cm an hour. When will the water reach the fifth rung? The tide raises both the Question And Answer Mathematics Form 3 For Pdf water and the boat so the water will never reach the fifth rung. The day before yesterday I was The next year I will be This is true Question And Answer Mathematics Form 3 For Pdf only one day in a year. What day is my Birthday? You have a 3-litre bottle and a 5-litre bottle. How can you measure 4 litres of water Question And Answer Mathematics Form 3 For Pdf by using 3L and 5L bottles?

Again fill the 3Lt bottle. Now pour 2 litres into the 5Lt bottle until it becomes full. Again fill the 5Lt bottle and Question And Answer Mathematics Form 3 For Pdf pour 1 litre into 3 Lt bottle until it becomes full.

Each person paid Rs. So, they paid Rs. The shop owner gave a discount of Rs. Then, among Rs. Now, the effective amount paid by each person is Rs. Where has the other Rs. The logic is payments should be equal to receipts. We cannot Question And Answer Mathematics Form 3 For Pdf add the amount paid by persons and the amount given to the beggar and compare it to Rs.

Thus, payments are equal to receipts. Find the area of the red triangle. To solve this fun maths question, you need to understand how the area of a parallelogram works. If you already know how the area of a Question And Answer Mathematics Form 3 For Pdf parallelogram and the area of a triangle are related, then adding 79 and 10 and subsequently subtracting 72 and 8 to get 9 should make sense. How many feet are in a mile? What is 1. A man is climbing up a mountain which is inclined.

He has to travel km to reach the top of Question And Answer Mathematics Form 3 For Pdf the mountain. Every day He climbs up 2 km forward in the day time. Exhausted, he then takes rest there at night time. At night, while he is asleep, he slips down 1 km backwards because the mountain is inclined. Then how many days does it take him to reach the mountain top? Look at this series: 36, 34, 30, 28, 24, � What number should come next?

Look at this series: 22, 21, 23, 22, 24, 23, � What number should come next? Look 3 Pdf Answer For Question And Mathematics Form at this series: 53, 53, 40, 40, 27, 27, � What number should come next? The ultimate goals of mathematics instruction are students understanding the material presented, applying the skills, and recalling the concepts in the future. There's little benefit in students recalling a formula or procedure to prepare for an assessment tomorrow only to forget the core concept by next week.

Teachers must focus on making sure that the students understand the material and not just memorize the procedures. After you learn the Question And Answer Mathematics Form 3 For Pdf answers to a fun maths question, you begin to ask yourself how you could have missed something so easy. The truth is, most trick questions are designed to trick your mind, which is why the answers to fun maths questions are logical and easy.

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