HomeSS 1MarketingSecond Term Examination Mathematics SS 1 Second Term Lesson Notes

Second Term Examination Mathematics SS 1 Second Term Lesson Notes

SECOND TERM EXAMINATION

Subject: Mathematics Class: SS1 Time:

Section A: Objective

Instruction: Answer all question in this section.

  1. If V T and V=6 when T=2, the formula connecting V and T is (a) V=5T (b) V=8T (c) V=3T (d) V=4T
  2. The height of a closed cylinder is equal to its radius r. Express the total surface area of the cylinder in terms of and r. (a) 2(b) 22 (c) 32 (d) 42
  3. A cone and cylinder have equal heights and volumes r is the radius of the cylinder. What is the radius of the cone in terms of r? (a) r (b) 3r (c) r (d) 1/3r
  4. The slant height of a cone is twice its base radius r. Express the total surface area of the cone in terms of and r. (a) 2/3r2(b) r2 (c) 1 1/3r2 (d) 2r2
  5. What is the value of 5 3 (mod 4)? (a) 0 (b) 1 (c) 2 (d) 3
  6. Varies inversely with y and x= 9 when y=8. When y = 12, x =_________ (a) 6 (b)10 2/3(c) 11 (d) 13

Use the table below to answer the question 7 – 10

Shoe size 36 37 38 39 40
Number of children 1 3 8 5 3
  1. Which size is the mode (a) 36 (b) 37(c) 38 (d) 39
  2. The median shoe size is (a) 36 (b) 37 (c) 38 (d) 39
  3. The mean shoe size is (a) 36 (b) 37 (c) 38 (d) 40
  4. The range shoe size (a) 4 (b) 3 (c) 2 (d) 1
  5. (2x +3) is a factor of 6x2 + x – 12. The other factor is (a) (x + 6) (b) (2x – 3) (c) (3x + 4) (d) (3x – 4)
  6. Find the roots of the equation x2 + 12x – 28=0. The greater of the two root is (a) -14 (b) -2 (c) 2 (d) 14
  7. Increase #330 in the ratio 6:5 (a) 180 (b) 275 (c) 360 (d) 396
  8. A girl walks 6km at a speed of 4½ km/h. How many minutes does her journey take? (a) 27 (b) 45 (c) 80 (d) 120
  9. A rope 24m long is divided into three pieces in the ratio 2:1:5. The length of the shortest piece, in m, is (a) 3 (b) 6 (c) 8 (d)15
  10. What is the sum of the roots of the equation x2 – 3x +2 =0? (a) -3 (b) -1 (c) 2 (d) 3
  11. 3cm on a map represents a distance of 60km. If the scale is expressed in the ratio 1:n, then n=________ (a) 20 (b) 60 (c) 2000 (d) 6000
  12. Evaluate (101.5)2 – (100.5)2 (a) 1 (b) 2.02 (c) 20.02 (d) 202
  13. Express the product of 0.06 and 0.09 in standard form (a) 5.4 X 10-3 (b) 5.4 X 10-2 (c) 5.4 X 10-1 (d) 5.4 X 102
  14. Simplify 36½ X 64-1/3 X 50 (a) 0 (b) 1/24 (c) 2/3 (d) 1½

 

Calculate the value of x in the above diagram (a) 180 (b) 300(c) 400 (d) 600

  1. A ladder 9m long against a vertical wall, making an angle of 640 with the horizontal ground. Calculate, correct to one decimal place how far the foot of the ladder is from the wall. (a) 4.0m (b) 5.8m (c) 7.1m (d) 8.1m
  2. Evaluate log106 + log10 45 – log1027 without using logarithm tables. (a) 0 (b) 1 (c) 1.1738 (d) 1.3802
  3. If log10 a =4; what is a? (a) 0.4 (b) 40 (c) 10,000 (d) 400
  4. Simplify (271/3)2 (a) 4½ (b) 6 (c) 9 (d) 18
  5. Factorize 35 – 2b – b2 (a) (35-2b)(b-1) (b) (7+b)(5-b) (c) (3+7b)(5-b) (d) (35-b)(3b+7)

The Venn diagram above shows the number of students who studied physics, chemistry and mathematics in a certain school. Use the diagram to answer question 27 – 29

  1. How many students took at least two of the three subject? (a) 165 (b) 85 (c) 160 (d) 155
  2. How many students took the three subject? (a) 85 (b) 135 (c) 75 (d) 110
  3. How many students took at least only one subject? (a) 60 (b) 45 (c) 10 (d) 30
  4. Simplify 9-1/2 / 272/3 (a) 1 (b) ½ (c) 1/9 (d) 1/27

Second Term Examination SS 2 Second Term Lesson Notes

Theory

(Answer 3 question only)

  1. The following data gives the lengths in cm of 30 iron rods;

45 55 65 60 61 68 59 54 64 50

68 72 68 80 67 70 62 79 64 63

71 59 64 53 57 74 55 76 67 57

  1. Use the class intervals of 45 – 49, 50 – 54, and 55 – 59 to construct a frequency table for the data.
  2. Calculate the (i) Mean (ii) Median (iii) Mode
  3. Solve the equation x2 – 2x – 3=0 graphically. When the value of x range from -2 to 5

3a. Construct a table of modular subtraction for mod 7

3b. The cost #232,000 of producing a machine arises from cost of materials, Labour and overheads in the ratio 7:9:2. Calculate the cost of Labour for producing 32 such machines.

4a. find the value of sin and tan if cos=0.125 ans 0o 90o

4b. The shadow of a post is 6m longer when the elevation of the sun is 30o than when it is 60o . Calculate the height of the post.

  1. In a group of 120 students, 60 studied Mathematics, 40 studied Physics, 55 studied Chemistry and 22 studied none of the three subjects. 12 studied Physics and Mathematics only, 8 studied chemistry and Physics only, 7 studied mathematics and chemistry only.

a. Draw a Venn diagram illustrating the information.

b. Find the number of students that studied all three subjects.

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