My Sch Sec 2 Maths EOY 2008.
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I really really cannot do them all ! Hais got like 30questions and done all except this lot.
1. A map is drawn to a scale of 1 : 50 000
(a) The width of a lake is represented by a line of length 4.5cm on the map.
Calculate the actual width of the lake, giving your answers in km.
(b) The actual area of the lake is 3.8km
Calculate the area on the map which represents the lake, giving your answers in square cm.
2. Temperature of running engine at 12 noon = 48 degree celcius.
Temperature of enginge rise 2 celcius per min.
(a) Find temperature at 1205
(b) The fan kicks in when temperature reach 78 celcius. At what time will it kick in?
3. (a) Given an exterior angel of n-sided regular polygon is 30 degrees, find the value of n.
(b) Show that each interior angel of regular pentagon is 108 degrees.
4. (a) The HCF and LCM of 24 and y are 6 and 1512 respectively. Find value of y.
(b) J , P and T started walking from start of 4km track. J placed a bean bag every 8m, which P placed a cone at 16m and T placed hula hoop every 30m.
(i) How far away from the start will they be first found together?
(ii) Given they did not place anything at start point, calculate at the end of 4km,
(a) The number of times those items found together
(b) The distance between ending point and position the 3 item last placed tgt.
5. Sets 3 or e, A and B are defined as follows: ( e or 3 is used as I couldnt get that sign. You should know
)
e or 3 = all quadrilaterals.
A = quadrilaterals with four equal side.
B = Quads with 2 pairs or parellel sides.
(i) List the elements in A intersect B.
(ii) Draw a venn diagram to show how are they related.
(iii) List down the element(s) in B intersect A prime.
6. Given that (2x - 5) : 4 = 3 : x, find the value of x.
7. Express the follows as fraction in simplest form.
(a) 3u^2v over 10uv^2 divide by (3v)^2 over 5.
(b) y-1 over y^2 - 1 minus 3 over 3-3y.
8. The length, breadth and height of a cuboid measured of nearest 1 decimal place are 6.6cm , 5.4cm and 7.0cm respectively.
Find the least possible volume of block.
9.
(a) Given that 1 over y minus 1 over a = 1 over a + b, express y in terms of a and b.
(b) Hence, find the value of y given that a = 1 and b = -0.5
10. (a) Given that x^2 + y^2 = 10 and xy = -2, calculate the vaulue of (x-y)^4
(b) If the angles 2x degree and 4y degrees are complementary, find the value of x degree + 2y degree.
11. A cone with a base radius of (x - 1) and a slant height of (x + 1) cm, has a curved surface area of 15pie cm^2. Find
(a) the value of x.
(b) The volume of cone.
12. 22 men who work 8 days a day can build a tnnel in 20 days. If 6 men do not turn up for work, how many hours must the remaining workers work per day to build the tunnel on time? Assume that the work rate remains constant.
13. Mr wong has a total of 160 english and chinese books. If he buys 32 more chinese, the % of chinese will increase by 5%. Find the number of chinese he has at first.
Thanks all <3. -
I really really cannot do them all ! Hais got like 30questions and done all except this lot.
1. A map is drawn to a scale of 1 : 50 000
(a) The width of a lake is represented by a line of length 4.5cm on the map.
Calculate the actual width of the lake, giving your answers in km.By the RF, 1cm rep 0.5 km, 1cm^2 rep 0.25km^2
(b) The actual area of the lake is 3.8km
Calculate the area on the map which represents the lake, giving your answers in square cm.
2. Temperature of running engine at 12 noon = 48 degree celcius.
Temperature of enginge rise 2 celcius per min.
(a) Find temperature at 1205Slowly add lo
(b) The fan kicks in when temperature reach 78 celcius. At what time will it kick in?
3. (a) Given an exterior angel of n-sided regular polygon is 30 degrees, find the value of n.Common question.
Formulae: total ext angles = 360 degrees, solve from here
(b) Show that each interior angel of regular pentagon is 108 degrees.
Prove: Pentagon 5 sides, each int angle = sum of int angles/5 ; (5-2)180 degrees/5 ;--> 108 degrees (shown)
4. (a) The HCF and LCM of 24 and y are 6 and 1512 respectively. Find value of y.
Idea: Prime factorise 24, 1512 and 6, use LCM means the highest power and HCF means least power to find y
(b) J , P and T started walking from start of 4km track. J placed a bean bag every 8m, which P placed a cone at 16m and T placed hula hoop every 30m.
(i) How far away from the start will they be first found together?
(ii) Given they did not place anything at start point, calculate at the end of 4km,
(a) The number of times those items found together
(b) The distance between ending point and position the 3 item last placed tgt.
5. Sets 3 or e, A and B are defined as follows: ( e or 3 is used as I couldnt get that sign. You should know )
e or 3 = all quadrilaterals.
A = quadrilaterals with four equal side.
B = Quads with 2 pairs or parellel sides.
(i) List the elements in A intersect B.
(ii) Draw a venn diagram to show how are they related.
(iii) List down the element(s) in B intersect A prime.
6. Given that (2x - 5) : 4 = 3 : x, find the value of x.
7. Express the follows as fraction in simplest form.
(a) 3u^2v over 10uv^2 divide by (3v)^2 over 5.
(b) y-1 over y^2 - 1 minus 3 over 3-3y.
8. The length, breadth and height of a cuboid measured of nearest 1 decimal place are 6.6cm , 5.4cm and 7.0cm respectively.
Find the least possible volume of block.
V= Length breadth height, so trial and error
9.
(a) Given that 1 over y minus 1 over a = 1 over a + b, express y in terms of a and b.
(b) Hence, find the value of y given that a = 1 and b = -0.5
10. (a) Given that x^2 + y^2 = 10 and xy = -2, calculate the vaulue of (x-y)^4
(b) If the angles 2x degree and 4y degrees are complementary, find the value of x degree + 2y degree.
11. A cone with a base radius of (x - 1) and a slant height of (x + 1) cm, has a curved surface area of 15pie cm^2. Find
(a) the value of x.
(b) The volume of cone.
12. 22 men who work 8 days a day can build a tnnel in 20 days. If 6 men do not turn up for work, how many hours must the remaining workers work per day to build the tunnel on time? Assume that the work rate remains constant.
13. Mr wong has a total of 160 english and chinese books. If he buys 32 more chinese, the % of chinese will increase by 5%. Find the number of chinese he has at first.
Thanks all <3. -
Originally posted by G.:
I really really cannot do them all ! Hais got like 30questions and done all except this lot.
1. A map is drawn to a scale of 1 : 50 000
(a) The width of a lake is represented by a line of length 4.5cm on the map.
Calculate the actual width of the lake, giving your answers in km.
(b) The actual area of the lake is 3.8km
Calculate the area on the map which represents the lake, giving your answers in square cm.
2. Temperature of running engine at 12 noon = 48 degree celcius.
Temperature of enginge rise 2 celcius per min.
(a) Find temperature at 1205
(b) The fan kicks in when temperature reach 78 celcius. At what time will it kick in?
3. (a) Given an exterior angel of n-sided regular polygon is 30 degrees, find the value of n.
(b) Show that each interior angel of regular pentagon is 108 degrees.
4. (a) The HCF and LCM of 24 and y are 6 and 1512 respectively. Find value of y.
(b) J , P and T started walking from start of 4km track. J placed a bean bag every 8m, which P placed a cone at 16m and T placed hula hoop every 30m.
(i) How far away from the start will they be first found together?
(ii) Given they did not place anything at start point, calculate at the end of 4km,
(a) The number of times those items found together
(b) The distance between ending point and position the 3 item last placed tgt.
5. Sets 3 or e, A and B are defined as follows: ( e or 3 is used as I couldnt get that sign. You should know
)
e or 3 = all quadrilaterals.
A = quadrilaterals with four equal side.
B = Quads with 2 pairs or parellel sides.
(i) List the elements in A intersect B.
(ii) Draw a venn diagram to show how are they related.
(iii) List down the element(s) in B intersect A prime.
6. Given that (2x - 5) : 4 = 3 : x, find the value of x.
7. Express the follows as fraction in simplest form.
(a) 3u^2v over 10uv^2 divide by (3v)^2 over 5.
(b) y-1 over y^2 - 1 minus 3 over 3-3y.
8. The length, breadth and height of a cuboid measured of nearest 1 decimal place are 6.6cm , 5.4cm and 7.0cm respectively.
Find the least possible volume of block.
9.
(a) Given that 1 over y minus 1 over a = 1 over a + b, express y in terms of a and b.
(b) Hence, find the value of y given that a = 1 and b = -0.5
10. (a) Given that x^2 + y^2 = 10 and xy = -2, calculate the vaulue of (x-y)^4
(b) If the angles 2x degree and 4y degrees are complementary, find the value of x degree + 2y degree.
11. A cone with a base radius of (x - 1) and a slant height of (x + 1) cm, has a curved surface area of 15pie cm^2. Find
(a) the value of x.
(b) The volume of cone.
12. 22 men who work 8 days a day can build a tnnel in 20 days. If 6 men do not turn up for work, how many hours must the remaining workers work per day to build the tunnel on time? Assume that the work rate remains constant.
13. Mr wong has a total of 160 english and chinese books. If he buys 32 more chinese, the % of chinese will increase by 5%. Find the number of chinese he has at first.
Thanks all <3.TS, I strongly suggest that you get a good maths tutor to help you out.
Pardon me, but I am busy with my group project at the moment, so I will have to leave your lengthy questions for someone else to help you out.
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Hi G.
Do read your text, discuss with your classmates and consult your teachers.
Frankly, many of the questions are routine.
Thanks!
Cheers,
Wen Shih -
yes , i agree ,these questions are the fundementals of E Maths