Mathematics · Karatasi 2 · 2022
16 maswali 🇹🇿 NECTA ✓ Majibu rasmi ya NECTAMathematics · Karatasi 2 · 2022
16 maswali
Mtihani wa saa 3 wa muda · husahihishwa kiotomatiki · huhesabiwa kwenye nafasi
Lipa na anza mtihani →Sehemu A
1. (a) Determine the first 5 prime numbers of Fibonacci sequence (b) (i) Find the next four numbers in the following sequence (c) (ii) Use divisibility rule whether 9142 is divisible by 5, 6, 7, and 9 or not.
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2. (a) Given that A f p , express f in terms of A, b and p b f p (b) use elimination method to solve the following simultaneous equation: { }
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3. (a) The sum of interior angles of a regular polygon is 1440° . Determine: (i) the number of sides of the polygon. (ii) the name of the polygon. (iii) the maximum number of triangles that can be formed from the polygon. (b) If the exterior angle of a regular polygon is 30° less than a half of the interior angle, calculate: (i) the size of the interior angle. (ii) the size of the exterior angle. (iii) the number of angles of regular polygon.
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4. (a) A point Q x,y moves in such a way that its distance from the point B 3,4 is twice its distance from the line x 3. Find the locus of the point Q x,y . (b) A point P x, y moves in such a way that its distance from the point S 2,3 is equal to its distance from the point of intersection of the lines whose equations are x2y 4 and 2x3y 15.
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5. (a) Three points A 8,10 , B 5,n C 0,2 are collinear. Find the value of n. (b) A line passing through the point A 4,6 crosses y-axis at point P. If the line is parallel to another line whose equation is 2y x2, determine the coordinates of point P.
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Draw the graph of y x2 7x18 and y x2 for 1 x 6 on the same xy-plane, in the following graphical space.Hence use the obtained graph to find the common solution of the given equations.
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Sehemu B
(b) State the order of rotational symmetry for each of the following polygons: (i) Circle (ii) Equilateral triangle (iii) Rectangle (iv) Square
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(b) Use a truth table to test the validity of the argument “If it rains or no one comes, the game will not take place. The game was a success. Therefore, it did not rain”.
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b) Use the results of part (a) to determine the number of students who study: (i) Biology only. (ii) Physics or Chemistry. (iii) None of the three subjects. (iv) Physics but not Chemistry.
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