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Questions (154)
Students contributed some money to help needy people. They bought twenty four 2-kg packets of flour, thirty six 1-kg packets of
2 answers
681 views
Explain why it’s important to understand volume. Use a real-world example
1 answer
432 views
Mr. John has a dangerous relationship with a new type of Hot Cheetos Product, called Super Hot Cheetos Limon. He is so obsessed
0 answers
660 views
Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the
2 answers
5,161 views
Points X and Y are on a number line, and Y partitions XZ segment into two parts so that the of the length of XY segment to the
0 answers
582 views
The diagram shows MN segment graphed on a coordinate plane. Point P lies on MN segment and is 3/4 of the way from M to N. What
2 answers
5,095 views
Triangle APQ is the image of ABC under a dilation centered at vertex A with scale factor ½. Triangle RBT is the image of ABC
1 answer
3,521 views
A carpenter is constructing a triangular roof for a storage shed as shown in the figure.
Part A isosceles triangle = 15 degrees
3 answers
2,891 views
The given cylindrical container r =3 inches and height= 8in is used to fill the rectangular prism fish tank 24 , 24 and 12
3 answers
6,897 views
Octagon PQRSTVWZ is a regular octagon with the center at point C. Which transformation will map octagon PQRSTVWZ onto itself?
3 answers
4,030 views
A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the
1 answer
6,261 views
The cost of a minibus was Shilling 950,000. It depreciated in value by 5% per year for the first two years by 15% per year for
0 answers
553 views
A ship leaves an island (5°N, 45° E) and sails due east for 120 hours to another island. Average speed of the ship is 27
0 answers
660 views
There are two sign posts A and B on the edge of the road. A is 400 m to the west of b. A tree is on a bearing of 060° from A
2 answers
866 views
An Artisan has 63 kg of metal of density 7,000kg/m3. He intends to use make a rectangular pipe with external dimensions 12 cm by
0 answers
499 views
Manyatta Village is 74 km North West of Nyangata Village. Chamwe village is 42 km west of Nyangata. find the bearing of Chamwe
1 answer
479 views
Kibet left school by bicycle at 8:00 a.m. and took 1 ½ hours to reach the market 20 km away. Akinyi left the school for the
1 answer
417 views
The area of a square plot of land is 1156m2. The plot is to be fenced with three strands of wire. What is the length of the wire
2 answers
724 views
A tank contained 22.5m^3 of water. More water was poured into the tank at the rate of 1.45m^3 per minutes. The tank was full at
2 answers
783 views
David and John shared some money in the ratio 5:2 John received $30 less than David. How much money did John get?
2 answers
636 views
An open cylindrical tank has an internal diameter of 5.6 cm and an internal height of 4 cm. The inside of the tank was painted.
1 answer
480 views
Kibet left school by bicycle at 8:00 a.m. and took 1 ½ hours to reach the market 20 km away. Akinyi left the school for the
1 answer
490 views
A plane flying at 200 knots left an airport A( 30° S, 31°E) and flew due North to an airport B( 30° N 31° E)
(a) Calculate
1 answer
999 views
In the year 2003, the population of a certain district was 1.8 million. Thirty percent of the population was in the age group
1 answer
558 views
Two towns P and Q are 400 km apart. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one
1 answer
487 views
David bought a new car for shilling 800,000. After 5 years, he sold it through a second-hand car dealer. The dealer charged a
1 answer
630 views
In the year 2003, the population of a certain district was 1.8 million. Thirty percent of the population was in the age group
0 answers
457 views
Two towns P and Q are 400 km apart. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one
0 answers
530 views
Two cylindrical containers are similar. The larger one has internal cross- section area of 45cm^2 and can hold 0.945 litres of
3 answers
1,599 views
A square brass plate is 2 mm thick and has a mass of 1.05 kg. The density of the brass is 8.4 g/cm3. Calculate the length of the
5 answers
2,874 views
Asha, Nangila and Cherop contributed shilling 60,000,shilling 85,000 and shilling 105 000 respectively. They agreed to put 25%
0 answers
642 views
Two cylindrical containers are similar. The larger one has internal cross- section area of 45cm^2 and can hold 0.945 litres of
0 answers
577 views
. If a fowl is treated, probability of dying is 1/10 while if not treated the probability is 7/10 calculate the probability
1 answer
462 views
P (5,) and Q (-1, 2) are points on a straight line. Find the equation of the perpendicular bisector of PQ: y = mx+c
how to find
1 answer
680 views
Two points P and Q have coordinates (-2, 3) and (1, 3) respectively. A translation map point P to P’ (10, 10)
(a) Find the
3 answers
1,776 views
Two towns P and Q are 400 km apart. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one
0 answers
498 views
A point (-5, 4) is mapped onto (-1, -1) by a translation. Find the image of (-4, 5) under the same translation.
1 answer
515 views
The acceleration, ams^-2, of a particle is given by a =25 – 9t^2, where t is in seconds after the particle passes fixed point
1 answer
583 views
If A,B and C are the points P and Q are p and q respectively is another point with position vector r = 3q – ½ p.
Express in
1 answer
430 views
a model of a solid structure in the shape of frustum of a cone with hemispherical top. The diameter of the hemispherical part is
2 answers
1,112 views
. A ship leaves an island (5°N, 45° E) and sails due east for 120 hours to another island. Average speed of the ship is 27
1 answer
789 views
Two towns P and Q are 400 km apar. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one
0 answers
464 views
Give that x is angle in the first quadrant such that 8sin 2x + 2cosx – 5 = 0
Find: cosx tanx
1 answer
514 views
The distance between towns M and N is 280 km. A car and a bus travel from M to N.
The average speed of the bus is 20 km/h less
1 answer
805 views
Two towns P and Q are 400 km apart. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one
2 answers
711 views
A cylindrical piece of wood of radius 4.2 cm and length 150 cm is cut length rise into two equal pieces. Calculate the surface
5 answers
1,481 views
Point T is the midpoint of a straight line AB. Given the position vectors of A and T are i - j + k and 2i + 1 ½ k respectively,
2 answers
723 views
A town N is 340 km due west of town G and town K is west of town N. A helicopter Zebra left G for K at 9.00 a.m. Another
1 answer
1,227 views
Two towns P and Q are 400 km apart. A bus left for P and Q. It stopped at Q for one hour and then started the return to P. one
0 answers
468 views
Give that x is angle in the first quadrant such that 8sin 2x + 2cosx – 5 = 0
Find: cosx tanx
1 answer
1,097 views
square brass plate is 2 mm thick and has a mass of 1.05 kg. The density of the brass is 8.4 g/cm3. Calculate the length of the
0 answers
531 views
Give that x is angle in the first quadrant such that 8sin 2x + 2cosx – 5 = 0
Find: cosx tanx
0 answers
457 views
The gradient of the tangent to the curve y= ax^3 + bx at the point ( 1, 1) is -5. Calculate the values of a and b
2 answers
2,931 views
The gradient of the tangent to the curve y= ax^3 + bx at the point ( 1, 1) is -5. Calculate the values of a and b
1 answer
546 views
P (5,) and Q (-1, 2) are points on a straight line. Find the equation of the perpendicular bisector of PQ: y = mx+c
3 answers
558 views
Give that x is angle in the first quadrant such that 8sin 2x + 2cosx – 5 = 0
Find: cosx tanx
0 answers
482 views
A town N is 340 km due west of town G and town K is west of town N. A helicopter Zebra left G for K at 9.00 a.m. Another
0 answers
524 views
A ship leaves an island (5°N, 45° E) and sails due east for 120 hours to another island. Average speed of the ship is 27
0 answers
657 views
The Position of two A and B on the earth’s surface are (36°N, 49°E) and (36°N, 131°W ) respectively.
(a) The difference in
2 answers
445 views
Solve the equation: 2cos2θ = 1 for 0° ≤ θ ≤ 360.
2θ = cos-1(1/2) 2θ = 60° θ= 30,210 330
1 answer
682 views
An angle of 1.8 radians at the center of the circle subtends an arc of length 23.4cm.
Find: (a) The radius of the circle (b) The
2 answers
1,505 views
A solid metal sphere of radius 4.2cm was melted and molten material used to make a cube. Find to 3 significant figures the
2 answers
1,218 views
Given that log y = log (10^n) solve for n.
0 answers
372 views
A rally car traveled for 2 hours 40 minutes at an average of speed pf 120km/h. The car consumes an average of 1 liter of fuel
1 answer
772 views
A point (-5, 4) is mapped onto (-1, -1) by a translation. Find the image of (-4, 5) under the same translation.
4 answers
2,035 views
If a fowl is treated, probability of dying is 1/10 while if not treated the probability is 7/10 calculate the probability that,
0 answers
496 views
The position vectors for points P and Q are 4 I + 3 j + 6 j + 6 k respectively. Express vector PQ in terms of unit vectors I, j
1 answer
797 views
The water supply in a town depends entirely on two pumps. A and B. The probability of pump A filling is 0.1 and the probability
1 answer
1,251 views
A salesman gets a commission of 2.4% on sales up to Shillings 100,000. He gets an additional commission of 1.5% on sales above
3 answers
1,379 views
Evaluate
6 log2 ∛64 +10log3 (243)^1/5)
2 answers
1,719 views
A man who can swim at 5km/h in still water swims towards the east to cross arriver. If the river flows from north to south at
1 answer
1,004 views
The length and breadth of a rectangular paper were measured to be the nearest centimeter and found to be 18 cm and 12 cm
1 answer
584 views
A group of people planned to contribute equally towards a water project which needed Ksh 200,000 to complete, however, 40
2 answers
1,308 views
The distance between towns M and N is 280 km. A car and a lorry travel from M to N.
The average speed of the lorry is 20 km/h
1 answer
721 views
Velocity V ms, of a moving body at time t seconds is given by V = 5t2 -12t + 7
0 answers
387 views
A triangular plot ABC is such that AB = 36m, BC = 40m and AC = 42 m
a) Calculate the: i) Area of the plot in square meters
1 answer
558 views
Three people Fatuma, Ali and Hassan contributed money to start a business.Fatuma contributed a quarter of the total amount and
1 answer
545 views
Given that sinθ = 2/3 and is an acute angle.
Find: Tanθ giving your answer in surd form θ = tan^(-1)〖(2/√5)= 41.81°〗
1 answer
649 views
The length and breadth of a rectangular floor were measured and found to be 4.1 m and 2.2 m respectively. If possible error of
2 answers
942 views
Two teachers are chosen randomly from a staff consisting 3 women and 2 men to attend a HIV/AIDS seminar. Calculate the
1 answer
742 views
A line L1 passes through point (1, 2) and has gradient of 5. Another line L2, is perpendicular to L2 and meets it at a point
5 answers
3,167 views
Solve the equation sin (5/2θ) = -1/2 for 0°≤0 ≤ 180°
sin(5/2θ) = -1/2 5θ/2 = -30 θ = -12 78, 168
1 answer
1,159 views
The length and breadth of a rectangular paper were measured to be the nearest centimeter and found to be 18 cm and 12 cm
0 answers
486 views
The Position of two A and B on the earth’s surface are (36°N, 49°E) and (360°N, 131°W ) respectively.
(a) The difference in
1 answer
828 views
Find the value of θ between 0° and 360° satisfying the equation 5 sin θ = 4
θ= sin-1(4/5) = 53.13, 143.13
1 answer
516 views
The size of an interior angle of a regular polygon is 3x° while its exterior angle is (x- 20)°. Find the number of sides of
3 answers
3,490 views
A square brass plate is 2 mm thick and has a mass of 1.05 kg. The density of the brass is 8.4 g/cm3. Calculate the length of the
3 answers
839 views
A particle moves along straight line such that its displacement S meters from a given point is S = t^3 – 5t^2 + 4 whee t is
1 answer
1,727 views
Evaluate
6log2^3 √64+ 10log3^5 √243
2 answers
1,011 views
All prime numbers less than ten are arranged in descending order to form a Number.
(a) Write down the number formed 2, 3, 5, 7
7 answers
5,832 views
Given that sin (x +30)° = cos 2x° for 0°, 0° ≤ x ≤ 90° Find the value x. Hence find the value of cos^2 3x°.
1 answer
668 views
A point R divides a line PQ internally in the ration 3:4. Another point S, divides the line PR externally in the ration 5:2.
2 answers
1,173 views
The area of a rhombus is 60cm^2. Given that one of its diagonals is 15 cm long, calculate the perimeter of the rhombus.
6 answers
2,220 views
Solve the inequality = 3- 2x ˂ x ¡Ü 2x + 5 and show the solution on the number line
1 answer
464 views
A rally car traveled for 2 hours 40 minutes at an average speed of 120 km/h. The car consumes an average of 1 litre of fuel for
1 answer
560 views
A liquid spray of mass 384 g is packed in a cylindrical container of internal radius 3.2cm. Given that the density of the liquid
2 answers
979 views
Given that log4 = 0.6021 and log6 = 0.7782, without using mathematical tables or calculate, evaluate log0.096.
8 answers
3,803 views
A rectangular and two circular cut-outs of metal sheet of negligible thickness are used to make a closed cylinder. The
2 answers
722 views
The distance meters from a fixed point O, covered by a particle after t seconds given by the equation; S = t3 – 6t2 + 9t + 5.
(
1 answer
594 views
In a livestock research stations a new drug for a certain fowl disease is being tried. Samples of 36 fowls were diagnosed to
1 answer
545 views
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