SENIOR TWO MATHEMATICS EXERCISE

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
1. Simplify: 3 ¼ + 2 ⅛ - 1.6. Ans: (2d.p)

2. Find 32 six x 45 six in base ten. Ans: (base ten)

3. Find the equation of the line that passes through (4, 10), (3, 8), (6, 14). Ans: (in the form y = mx + c)

4. If a * b = a2/b , find (10 * 5). Ans:


5. Mukasa and Jane are to share 60,000 Shs. If Jane takes 2/5 of the share, what does Mukasa take? Ans: Sh.

6.(a) Simplify the following: (i) 3a + 5a Ans: (ii) 3y + y + 7y Ans:

(b) Solve for x if 3x + 12x = 8 - 3x. Ans: /9

7. Write down the next three terms of each sequence.

(a) 1, 3, 5, 7, 9, 11, ----------, ------------, -----------

(b) 2, 6, 18, 53, -----------, -----------, -----------.

8. The interior angle of a regular hexagon is 1080, how many sides does it have? Ans: sides

9. Find +4 + -6 + +7 using a number line. Ans:

10. A = { 3, 7, 5 }, B = {7, 5, 9, 12 } C = A ∩ B and D = A U B.

(i) State ∩(A) = , ∩(B)= (ii) Is C = A ?Use Yes/No (iii) Is C = D? Use Yes/No


SECTION B


11. A ship sails from Bukasa Island on a bearing of 0500 for 72km. It then sails for 95km on a bearing of 1080, then 45km on a bearing of 2100.

(a) How far is the ship from Bukasa? Ans: Km

(b) What is the bearing of Bukasa from the final landing position? Ans:0


12. A = { (x,y) : y ≥ 1 }, B = { (x,y) : x ≥ 2 }
C = { (x,y) : x + y ≤ 8 } show D = A ∩ B ∩ C and find its area. Ans: Area = cm2 (1d.p)

13. The distance d km, covered by an aeroplane flying at a speed of 500km/h for t hours is d = 500t.

(i) Draw a straight line graph to illustrate this relation for values of t from 0 to 3.

(ii) Use the graph to find how far the plane goes in 1 ½ hours. Ans: Km

(iii) Use the graph to find how long it takes the plane to cover 430km. Ans: minutes(nearest minute)


14. On a squared paper plot Δ ABC whose vertices are A(2, 2), B(4, 2),
C(2, 4).

(i) Find the image of A1 B1 C1 of ABC after a reflection in y = 1. Ans: A1 (,) B1(,) C1(,)

(ii) Find the image A2B2C2 when A1 B1 C1 is reflected in x + y = 0. Ans: A2(,) B2(,) C2(,)