FORM ONE BASIC MATHEMATICS MODAL EXAM
Time: 2 Hours
Instructions.
1. This paper consists of ten questions.
2. Answer all questions.
3. All necessary working and answers for each question done must be shown clearly in the space provided for each question.
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(b). Find the prime factors of the following numbers: 20, 40 and 42.
(c). Use a number line to find the product of -3 and -2
ii). Find 3
(b). In a class, 8 students take chemistry, 15 take history, 12 take French and 19 take bible knowledge. If 5 students from each subject are selected to represent their fellow in tour, give the fraction of students for each subject represented in a tour.
(a). 2. (b). 0. (c). 0. 2
(b). Mariam was given 20 000 shillings by her father. She spent 48% of it to buy shoes. How much money she remained with?
(c). Three fifths of the pupils come from the town Centre. What percentage of the pupils do not come from the town Centre?
(b). A boy has a pile of four books on his desk. The thickness of the books are 22 mm, 13 mm, 39mm and 18 mm. Can the pile fit in a shelf of 10 cm high? If so, calculate the length of the space left.
ii). Estimate the value of 8208 38
(b). Write 86.463 correct to
(i) 1 decimal place (ii) 2 decimal places (iii). 1 significant figure (iv). 2 significant figures
(c). i). Write in decimal form, correct to 4 significant figures.
ii). Simplify 0.3143 6.06 giving the answer correct to 3 significant figures.
(b). In figure below find the values of
(i). x,y and z (b). z + y +x
(c). The figure ABCD below is a trapezium. Find the values of angles marked a,b, and c
(b). Solve the following pairs of simultaneous equations by substitution method.
(c). Use the following two figures to calculate the values of x and y:
(b). A house was sold at a profit of 900 000 shillings. If the rate of profit is 37 %, find the cost (buying price) of the house.
(c). Find the time in which 30 000 shs will earn sh 6000 at the rate of 5% interest per annum.
(b). A straight line passes through points P(-4, 5) and Q(-2, 1) find;
(i) The gradient of the line
(ii) The equation of the line
(iii) The y-intercept
(iv) The x- intercept
(b). The area of a circle is 616 mm2. Find the circumference.(take )
(c). The figure below is formed by three semi-circular figures. Find the area of the shaded region(take ).
LEARNINGHUBTZ.CO.TZFORM ONE MATHEMATICS MODAL SERIES 15
LEARNING HUB.TZ
BASIC MATHEMATICS EXAMINATION FORM ONE
MID - TERM
NAME…………………………………………..CLASS……………………………TIME: 3HRS
INSTRUCTIONS:-
SECTION A 60 Marks
1. Work out these:
a)
b)
c)
2. Find the product of the L.C.M and G.C.F of:
a) 40, 120 and 240
b) 8, 12 and 60
3. At a drinks stall, 24,000ml of juice is used to fill 60 bottles. How much each bottle hold?
4. Work out to the following;
(a) kg g (b) g dg mg
5 723 1 8 54
+ 1 284 - 0 7 37
(c) g cg mg
7 9 9
5 12 6
+ 0 81 3
5. Change the following into a fraction
(a) (b) (c)
6. Find the value of for these values of x
(a)2 (b)1 (c)-4
7. How many significant figures in the following
(a)0.0200 (b)205 (c)0.01050 (d)720
(e)2017 (f)0.5
8. At the beginning of the day Waziri had 4,620/=. He buys items costing 395/=, 1,840/= and 943/=.
About how much does he have left?
9. Solve the following by using a number line
a)-5 + 2 (b)8 - -5 (c)-9 + 3
10. In a quiz programme, 4 marks are scored for every correct answer, and -2 marks for every wrong answer. If Cesilia got 15 questions correct and 10 questions wrong. What was her final score?
SECTION B: 40 Marks
11. Amina is 5 years older than Rayan and Fatuma in Twice as old as Amina. The total of their ages is 103 years. Find each of their ages.
12. Given two points P1 (5, 2) and P2 (-6, 3) find:-
(a) Equation of a line passes through these points
(b) Draw a graph by using an equation of a line in 12(a) above
(c) Determine x and y – intercepts
13. (a) Solve by substitution method
2x + 3y = 6
Y = 2x
(b) If 3 ties and 4 shirts cost 24,100/= and 4 ties and 3 shirts cost 20,000/= find the cost of 1 tie and 1 shirt.
14. Solve the following compound inequalities and represent the answer on a number line
(a) 5 ≤ 3x – 1 < 15
(b) 1 < ½ x – 5 ≤ 3
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LEARNINGHUBTZ.CO.TZFORM ONE MATHEMATICS MODAL SERIES 4