Form 4 Mathematics
The displacement s metre of a particle moving along straight line after t seconds is given by. S = 3t + 3/2 t2 – 2t3
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Form 4 Mathematics
a) Complete the table below, giving your values correct to 2 decimal place.
b) Using the grid provided and the table in part (a) draw the graphs of Y = tan Ө and y = sin 2Ө.
c) Using your graphs, determine the range of values for which tan Ө>Sin 2Ө for 00 ≤ Ө ≤ 900.
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Form 4 Mathematics
The table below shows the values of x and corresponding values of y for a given curve.
a) Use the trapezium rule with seven ordinates and the values in the table only to estimate the area enclosed by the curve, x – axis and the line x = П/2 to four decimal places. (Take П = 3.142) b) The exact value of the area enclosed by the curve is known to be 0.8940.Find the percentage error made when the trapezium rule is used. Give the answer correct to two decimal places.
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Form 1 Mathematics
Four points B,C,Q and D lie on the same plane. Point B is 42km due South – West of point Q. Point C is 50km on a bearing of S 600 E from Q.
Point D is equidistant B, Q and C.
aNSWER
Form 1 Mathematics
The figure VPQR below represents a model of a top of a tower. The horizontal base PQR is an equilateral triangle of side 9cm. The lengths of edges are VP = VQ = VR = 20.5cm. Point M is the mid point of PQ and VM = 20cm. Point N is on the base and vertically below V.
Calculate:
a) i) Length of RM ii) Height of model iii) Volume of the model b) The model is made of material whose density is 2,700 kg/m3. Find the Mass of the model.
aNSWER
Form 3 Mathematics
The diagram below shows a circle ABCDE. The line FEG is a tangent to the circle at point E. Line DE is parallel to CG,
Answer
Form 1 Mathematics
A bus travels from Nairobi to Kakamega and back. The average speed from Nairobi to Kakamega is 80km/hr while that from Kakamega to Nairobi is 50km/hr, the fuel consumption is 0.35 litres per kilometer and at 80km/h, the consumption is 0.3 litres per kilometer .Find
Answer
Related Questions and Answers on Speed and RatesForm 1 Mathematics
In the diagram below, ABCD is a trapezium with AB parallel to DC. The diagonals AC and BD intersect at E.
aNSWER
Form 3 Mathematics
Each month, for 40 months, Amina deposited some money in a saving scheme. In the first month she deposited sh 500. Thereafter she increased her deposits by sh.50 every month.
Calculate the:
Form 3 Mathematics
The sides of a triangle were measured and recorded as 8 cm, 10 cm and 15 cm. Calculate the percentage error in perimeter, correct to 2 decimal places.
Answer
Form 3 Mathematics
a) Expand (a – b)6
b) Use the first three term of the expansion in a (a) to find the approximate value of (1.98)6
Answer
Form 1 Mathematics
The figure below represents a square based solid with a path marked on it.
Sketch and label the net of the solid
Answer
Form 1 Mathematics
A trader sells a bag of beans for shs. 2100 and that of maize at shs. 1200. He mixed beans and maize in the ratio 3:2. Find how much the trader should sell a bag of the mixture to realize the same profit.
Answer:
Form 4 Mathematics
The following distribution shows the masses to the nearest kilogram of 65 animals in a certain farm
Answer
Form 3 Mathematics
The table below shows Kenyan tax rates in a certain year
In that year Muhando earned a salary of Ksh. 16510 per month. He was entitled to a monthly tax relief of Kshs 960.
Calculate:
aNSWER
Form 4 Mathematics
The equation of a circle is given by x2 + 4x +y2 – 5 = 0. Find the radius and the center of the circle.
Answer
Form 1 Mathematics
Atieno and Kamau started a business by contributing sh. 25, 000 and sh. 20, 000 Respectively.
At the end of the year, they realized a profit of shs. 81, 000. The profit was allocated to development, dividends and reserves in the ratio 4:5:6 respectively. The dividends were the shared in the ratio of their contribution. Calculate the dividends paid to Atieno.
Answer:
Form 3 Mathematics
The coordinates of points O,P,Q and R are (0,0)(3,4) (11,6) and (8,2) respectively. A point T is such that vectors OT,QP and QR satisfy the vector equation. OT = QP + ½ QR .Find the coordinates of T.
aNSWER
Form 2 Mathematics
A triangular flower garden has an area of 28m2. Two of its edges are 14 metres and 8 metres. Find the angle between the two edges.
Answer:
Form 1 Mathematics
Kipketer can cultivate a piece of land in 7 hours while Wanjiku can do the same work in 5 hours. Find the time they would take to cultivate the piece of land when working together.
Answer:
Form 4 Mathematics
The diagram below shows a straight line intersecting the curve y = (x-1)2 + 4
At the points P and Q. The line also cuts x-axis at (7,0) and y axis at (0,7)
Answer
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