1. An alloy is made up of 114g of brass and 126g of iron. Find the ratio of the weight of brass to the weight of the alloy.
2. The monthly salary of a man is increased from #27,000 to #32,000. Find the percentage increase.
3. A trader makes a loss of 15% when selling an article, find the ratio-selling price : cost price.
4. A baker used 40% of a 50kg bag of flour. If 1/8 of the amount used was for cake, how many kilograms of flour was used for cake?
5. A car uses one litre of petrol for every 14km. If one litre of petrol costs #97.00, how far can the car go with #9700.00 worth of petrol?
6. The ratio of the number of men to the number of women in a 20-member committee is 3:1. How many women must be added to the 20 member committee so as to make the ratio of men to women 3:2
7. If 30% of Y is equal to X, what is 30% of 3Y?
8. In 1995, the enrolments of two schools X and Y were 1,050 and 1,190 respectively. Find the ratio of the enrolments of X to Y.
9. Mr Efe travelled from Accra to Pamfokrom a distance of 720km in 8 hours. What will be his speed in m/s.
10. In one month, a man spent #650 on newspapers and #240 on soap. The next month, he reduced his newspaper spending by 40%. If the ratio of the amount spent on soap in the second month to that of the first month is 5:3, what is the difference in the amount spent on both items in the two months?
11. Find the 8th term of the A.P -3, -1, 1, ...
12. The fourth term of an Arithmetic progression is 1 less than twice the second term. If the sixth term is 7, find the first term.
13. The ratio of the height of a triangle to the base is 3:2 and its area is 30 square cm. Calculate, correct to 2 decimal place, the height of the triangle.
14. How many minutes will it take to cover a distance of 8.1km at an average speed of 5m/s.
15. An A.P has 3 as its first term and 4 as the common difference.
(i)write an expression, in its simplest form for the nth term.
(ii)Find the least term of the A.P that is greater than 100.
16. If the ratio x : y = 3 : 5 and y : z = 4 : 7, find the ratio x : y : z
17. The first term of an Arithmetic progression(A.P) is 3 and the common difference is 4. Find the sum of the first 28 terms
18. A boy measured the length and breadth of a rectangular lawn as 59.6m and 40.3m respectively instead of 60m and 40m. What is the percentage error in his calculation of the perimeter of the lawn?
19. A boy estimated his transport fare for a journey as #190 instead of #200. Find the percentage error in his estimate.
20. The sum of the first 9 terms of an A.P is 72 and the sum of the next 4 terms is 71. Find the A.P
Wednesday, October 24, 2012
Tuesday, September 18, 2012
S.M.C S.S three scheme of work, Physics(Term one)
S.M.C S.S 3 Scheme of work Physics (Term one)
Week 1- Revision/Electromagnetic waves. Types of radiation in EM spectrum, description and uses
Week 2- Gravitational field and law, gravitational potential, escape velocity, potential energy in gravitational field
Week 3- Electric field, Coulomb's law, electric field intensity, electric potential, capacitor and capacitance
Week 4- Current electricity, primary and secondary cells, types of cells
Week 5- Electrolysis
Week 6- Electric measurement- Resistivity, conductivity, shunt, multiplier, conversion of galvanometer to ammeter and to voltmeter
Week 7- Magnetic field, magnets, magnetization, etc
Week 8- Magnetic field around current carrying conductors, electromagnets, uses of electromagnet
Week 9- Electromagnetic field- Fleming left hand rule, Application- D.C motors, moving coil galvanometer.
Week 10- Electromagnetic induction- Induced current, laws of EM induction, Induction coil, A.C and D.C Generator, transformer and power transmission and distribution, Eddy current
Week 11- Revision
Week 12 & 13- examination.
Week 1- Revision/Electromagnetic waves. Types of radiation in EM spectrum, description and uses
Week 2- Gravitational field and law, gravitational potential, escape velocity, potential energy in gravitational field
Week 3- Electric field, Coulomb's law, electric field intensity, electric potential, capacitor and capacitance
Week 4- Current electricity, primary and secondary cells, types of cells
Week 5- Electrolysis
Week 6- Electric measurement- Resistivity, conductivity, shunt, multiplier, conversion of galvanometer to ammeter and to voltmeter
Week 7- Magnetic field, magnets, magnetization, etc
Week 8- Magnetic field around current carrying conductors, electromagnets, uses of electromagnet
Week 9- Electromagnetic field- Fleming left hand rule, Application- D.C motors, moving coil galvanometer.
Week 10- Electromagnetic induction- Induced current, laws of EM induction, Induction coil, A.C and D.C Generator, transformer and power transmission and distribution, Eddy current
Week 11- Revision
Week 12 & 13- examination.
S.M.C S.S two scheme of work, Physics(Term one).
S.M.C S.S 2 Scheme of Work Physics (Term one)
Week 1- Revision/position, distance and displacement.
Week 2- Derivation of Equations of linear motion, motion under gravity.
Week 3- Projectiles and falling bodies
Week 4- Scalar and vector quantities, vector representation, addition, resolution
Week 5- Pressure
Week 6- Equilibrium of forces, CG, stability, couple
Week 7- Newton's laws of motion
Week 8- Simple Harmonic Motion(S.H.M)
Week 9- Energy of S.H.M, forced vibration, resonance
Week 10- Machines-Types, example and calculation.
Week 11- Revision/practical
Week 12 & 13- examination.
Week 1- Revision/position, distance and displacement.
Week 2- Derivation of Equations of linear motion, motion under gravity.
Week 3- Projectiles and falling bodies
Week 4- Scalar and vector quantities, vector representation, addition, resolution
Week 5- Pressure
Week 6- Equilibrium of forces, CG, stability, couple
Week 7- Newton's laws of motion
Week 8- Simple Harmonic Motion(S.H.M)
Week 9- Energy of S.H.M, forced vibration, resonance
Week 10- Machines-Types, example and calculation.
Week 11- Revision/practical
Week 12 & 13- examination.
Monday, September 17, 2012
S.M.C S.S one scheme of work, Mathematics(Term one)
S.M.C S.S 3 Scheme of Work Mathematics (Term one)
Week 1- Revision of S.S 2 examination questions and review of indices
Week 2- Theory of logarithm
Week 3- Word problems involving quadratic equations, solution to linear equations and quadratic equations
Week 4- Surface area & volume of a sphere, hemisphere and other composite shapes
Week 5- Spherical geometry, longitude and latitude
Week 6- Review of first half term's work & periodic test
Week 7- Location of places on the earth, more calculations of longitude and latitude
Week 8- Problems on spherical geometry and bearing
Week 9- Harder problems on trigonometric graphs of cosine and sine
Week 10- Grouped date-tabulation, presentation using histogram, cummulative frequency curve and mean, median and mode.
Week 11- Review of second half term's work and periodic test
Week 12 & 13- examination.
Week 1- Revision of S.S 2 examination questions and review of indices
Week 2- Theory of logarithm
Week 3- Word problems involving quadratic equations, solution to linear equations and quadratic equations
Week 4- Surface area & volume of a sphere, hemisphere and other composite shapes
Week 5- Spherical geometry, longitude and latitude
Week 6- Review of first half term's work & periodic test
Week 7- Location of places on the earth, more calculations of longitude and latitude
Week 8- Problems on spherical geometry and bearing
Week 9- Harder problems on trigonometric graphs of cosine and sine
Week 10- Grouped date-tabulation, presentation using histogram, cummulative frequency curve and mean, median and mode.
Week 11- Review of second half term's work and periodic test
Week 12 & 13- examination.
S.M.C S.S two scheme of work, Mathematics(Term one)
S.M.C S.S 2 Scheme of Work Mathematics (Term one)
Week 1- Revision of S.S 1 work
Week 2- Logarithm of numbers less than 1, reciprocal.
Week 3- Approximations and percentage error.
Week 4- Ratio, proportions and rates, percentages.
Week 5- Sequences and series, Arithmetic progression(A.P)
Week 6- Geometric progression(G.P) & Geometric mean
Week 7- Review of first half term's work and periodic test.
Week 8- Simultaneous equations including one linear, one quadratic and word problems
Week 9- Graphical solution to simultaneous equations including one linear, one quadratic
Week 10- Surds
Week 11- Review of second half term's work and periodic test
Week 12 & 13- examination
Week 1- Revision of S.S 1 work
Week 2- Logarithm of numbers less than 1, reciprocal.
Week 3- Approximations and percentage error.
Week 4- Ratio, proportions and rates, percentages.
Week 5- Sequences and series, Arithmetic progression(A.P)
Week 6- Geometric progression(G.P) & Geometric mean
Week 7- Review of first half term's work and periodic test.
Week 8- Simultaneous equations including one linear, one quadratic and word problems
Week 9- Graphical solution to simultaneous equations including one linear, one quadratic
Week 10- Surds
Week 11- Review of second half term's work and periodic test
Week 12 & 13- examination
S.M.C S.S one scheme of work, Mathematics(Term one)
S.M.C S.S.S 1 Scheme of Work Mathematics.
Week 1-Revision of J.S 3 works. Basic operations of integers.
Week 2-Number base, conversion
Week 3-Addition, Subtraction, Multiplication and Division of number base.
Week 4-Concept of modular arithmetic.
Week 5-Approximation, decimal places, significant figures, standard form, etc.
Week 6-Indices.
Week 7-Review of first half term's work and periodic test.
Week 8-Logarithms 1.
Week 9-Logarithms 2.
Week 10-Change of subject of formulae, Variation.
Week 11-Revision.
Week 12 & 13- examination
Week 1-Revision of J.S 3 works. Basic operations of integers.
Week 2-Number base, conversion
Week 3-Addition, Subtraction, Multiplication and Division of number base.
Week 4-Concept of modular arithmetic.
Week 5-Approximation, decimal places, significant figures, standard form, etc.
Week 6-Indices.
Week 7-Review of first half term's work and periodic test.
Week 8-Logarithms 1.
Week 9-Logarithms 2.
Week 10-Change of subject of formulae, Variation.
Week 11-Revision.
Week 12 & 13- examination
Tuesday, June 5, 2012
SMC S.S.S 2 homework
(1) If 2x + 3y = 4, 3x - y = 6
(2) A student draws a line and says that it is 10cm long. Whay is the % error in the drawing if the true length is 10.2cm
(3) convert 77 to a number in base 2
(4) The bearing of two points Q and R from a point are 030 degree and 120 degree respectively. If |PQ| = 12m and |PR| = 5m, find the distance |QR|
(5) How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m
(2) A student draws a line and says that it is 10cm long. Whay is the % error in the drawing if the true length is 10.2cm
(3) convert 77 to a number in base 2
(4) The bearing of two points Q and R from a point are 030 degree and 120 degree respectively. If |PQ| = 12m and |PR| = 5m, find the distance |QR|
(5) How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m
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