If the bucket above has a hole and 1.1 cm3 of water leaks out every 5 seconds and collects in a cylindrical can of base radius and height 10 cm and 25 cm respectively. Calculate how long it takes to fill the cylindrical can. (4 marks)
Two similar cans have different heights 8cm and other one 10cm. If the surface area of the larger can is 480cm3, find the surface area of the smaller can (3mks)Worked Answer:
Form 2 Mathematics
The volumes of two similar solid cylinders are 4752 cm3 and 1408 cm3. If the area of the curved surface of the smaller cylinder is 352 cm2, find the area of the curved surface of the larger cylinder. ( 4 marks)
aNSWER
Form 2 Mathematics
A small cone of height 8cm is cut off from a bigger cone to leave a frustum of height 16cm. If. the volume of the smaller cone is 160cm3, find the volume of the frustum.
answer
Form 2 Mathematics
Points A(-2, 2) and B(-3, 7) are mapped onto Aʹ(4, -10) and Bʹ(0, 10) by an enlargement. Find the scale factor of the enlargement
answer
Form 2 Mathematics
(a) On the grid provided, draw the square whose verticals are A (6, -2), B (7, -2), C (7, -1) and D (6, -1).
(b) On the same grid, draw: i. AʹBʹCʹDʹ, the image of ABCD, under an enlargement scale factor 3, centre (9, -4); ii. AʹʹBʹʹCʹʹDʹʹ, the image of AʹBʹCʹDʹ, under a reflection in the line x = 0; iii. AʹʹʹBʹʹʹCʹʹʹDʹʹʹ, the the image of AʹʹBʹʹCʹʹDʹʹ under a rotation of + 90 about (0,0) (c) Describe a single transformation that maps AʹBʹCʹDʹ onto AʹʹʹBʹʹʹCʹʹʹDʹʹʹ
answers
Form 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 2 Mathematics
A small cone of height 8 cm is cut off from a bigger cone to leave a frustum of height 16 cm, if the volume of the smaller cone is 160 cm3, find the
volume of the frustum
answers
Form 2 Mathematics
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 coordinates of Q" the image of Q under the translation 
answer
Form 2 MathematicsThe diagram on the grid provided below shows a trapezium ABCD on the same grid.
Answer
Use a ruler and a pair of compasses only for all constructions in this question(a) On the line BC given below, construct triangle ABC such that ∠ABC = 300 and BA = 12 cm
ANSWER
The ratio of the lengths of the corresponding sides of two similar rectangular water tanks is 3:5. The volume of the smaller tank is 8.1 m3. Calculate the volume of the larger tank.3 MARKS
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