New Semester Started Get 50% OFF Study Help! --h --m --s Claim Now

Question Answers

Textbooks

Find textbooks, questions and answers

Oops, something went wrong!

Change your search query and then try again

Result Not Found

Books FREE
Study Help
Tutors
AI Study Planner NEW
Sell Books

Search
Sign In
Register

study help
business
numerical mathematical economics

OXFORD New Syllabus Mathematics Book 2 7th Edition Teh Keng Seng, Loh Cheng Yee, Joseph Yeo, Ivy Chow - Solutions

In a Mathematics test, the average score obtained by Class 2A is 72 and the average score obtained by Class 28 is 75. The average score obtained by the two classes is 73.48. Given that there is a total of 75 students in the two classes, find the number of students in each class.
A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents per minute for cach additional minute of talk time. Ethan paid $26.80 and $32.40 for 175 minutes and 210 minutes of talk time on two different occasions respectively. Find
Vishal mixes coffee powder that costs $2.50 per kg with coffee powder that costs $3.50 per kg. Given that he sold 20 kg of the mixture at $2.80 per ky such that he does not make any profit or incur any loss, find the mass of each type of coffee powder that he uses for the mixture.
5 cups of ice-cream milk tea and 4 cups of citron tea cost $26,80 whereas 7 cups of ice-cream milk tea and 6 cups of citron tea cost $38.60. Find the difference between the cost of I cup of ice-cream milk tea and 1 cup of citron tea.
A vendor buys 36 smartphones and tablet computers for $28 065. Given that a smartphone costs $895 and a tablet computer costs $618, find the number of each item the vendor buys.
If Shirley gives $3 to Priya, Priya will have twice as much as Shirley. If Priya gives $5 to Shirley, Shirley will have twice as much as Priya. How much does each of them have?
In four years' time, Khairul's mother will be three times as old as Khairul. Six years ago, his mother was seven times as old as him. Find(i) Khairul's present age,(it) the age of Khairul's mother when he was born.
A two-digit number is such that the sum of its digits is 12 and the ones digit is twice its tens digit. Find the number.
If 1 is subtracted from the numerator and 2 is added to the denominator of a fraction, the value obtained is . If 3 is added to its numerator and 2 is subtracted from its denominator, the resulting value is 1. Find the fraction. 2 1
The figure shows a parallelogram with its sides as indicated. Find the perimeter of the parallelogram. (2y-x) cm (x + y + 1) cm (3x-4) cm (x+2) cm
Two numbers are such that if 11 is added to the first number, a number twice the second number is obtained. If 20 is added to the second number, the number obtained is twice the first number. Find the two numbers.
Solve each of the following pairs of simultaneous equations. (a) 7x+2y=10 5x+2y=6 (c) 2x-5y = 22 2x-3y=14 (e) 4x+3y=0 5y +53=11x (b) 9x+4y=28 4y-11x=-12 (d) 6x-y=16 3x+2y=-12 (f) 5x-4y=4 2x-y=2.5
(a) The variables x and y are connected by the equation 5x - 3x = 2 Some values of r and the corresponding values of y are given in the table.(i) Find the value of p and of q.(ii) On a sheet of graph paper, using a scale of I em to represent I unit on both axes, draw the graph of 5x - 3y = 2 - 5
Consirler the equation 2v + y = 2(a) Copy and complete the table.(b) On a sheet of graph paper, using a scale of 2 em to represent I unit on the x-axis and I em to represent I unit on the y-axis, draw the graph of 2x + y = 2 - 4 (c) The point (p.2) lies on the graph in (b). Find the value of p.(d)
Two mobile phone companies, A and B, offer plans with a talk time rate as shown in the graph. Charges ($) B S 4 3- 2 0 10 20 20 A Time (minutes) (i) How much does Company A charge for 20 minutes of talk time? (ii) How much does Company B charge for 50 minutes of talk time? (iii) If Jun Wei uses
The flag down fare of a taxi is $m. The taxi charges Sn for each kilometre it travels. Use the graph to find the value of m and of n. Charges (5) 0 12 2 3 Distance travelled (km)
Given that the equation of the line representing each of the following linear graphs is in the form y=mx+c, find the gradient m and state the y-intercept c. (a) a S 4 3 2 0 (b) -2 T 10- 8- 9 6. 4+ 2 0 2-
Huixian's mother buys some shares of Company A on Day 0. On Day 7, the share price of Company A is $4.60. If she sells all her shares of Company A and buys 2000 shares of Company Bon Day 7, she would receive $7400. On Day 12, the share price of Company A is $4.80 and the share price of Company B is
Raj has $10. If he buys 8 pears and 5 mangoes, he will he short of $1.10. If he buys 5 pears and 4 mangoes, he will receive $1.75 in change. Find the price of I pear and I mango.
A two-digit number is such that the sum of its 1 8 digits is of the number. When the digits of the number are reversed and the number is subtracted from the original number, the result obtained is 45. Find the original number.
Two numbers are such that when the larger number is divided by the smaller number, both the quotient and the remainder are equal to 2. If five times the smaller number is divided by the larger number, both the quotient and the remainder are also equal to 2. Find the two numbers.
Rui Feng deposited a total of $25 000 in Bank A and Bank 8 at the beginning of 2013. Bank A and Bank B pay simple interest at rates of 0.6% and 0.65% per annum respectively. He withdrew all his money from the two hanks at the end of 2013. If the amount of interest he earned from each bank is the
$80 is divided between Ethan and Michael such that one quarter of Ethan's share is equal to one sixth of Michael's share. How much does each of them receive?
There are some chickens and goats on a farm. Given that the animals have a total of 50 heads and 140 legs, how many more chickens than goats are there?
Lixin intends to buy either Gift A, which costs $10, or Gift B, which costs $8, as Christmas gifts for each of her parents, 2 siblings, 13 relatives and 10 friends. Given that she intends to spend $230, find the number of each gift she should buy.
6 adults and 4 senior citizens have to pay $228 while 13 adults and 7 senior citizens have to pay $459 to visit an exhibition at the ArtScience Museum, Find the total amount 2 adults and a senior citizen have to pay to visit the exhibition.
The giant pandas Kai Kai and Jia Jia reside at the River Safari. The sum of their ages when they first arrived in Singapore in 2013 was 11 years. In 2022, Kai Kal will be three times as old as Jia lia was in 2013. Find their ages in 2014.
If I is subtracted from the numerator and from the denominator of a fraction, the value obtained IS 1 2 If I is added to its numerator and to its denominator, the resulting value is. Find the fraction. 3
The figure shows a rhombus with its sides as indicated. Find the perimeter of the figure. (2x + y + 1) cm 3x-3-2 2 cm (x-y) cm
The figure shows a rectangle with its length and breadth as indicated. Given that the perimeter of the rectangle is 120 cm, find the area of the rectangle. (3x-y) cm (2x + y) cm (2x-3) cm
The figure shows an equilateral triangle with its sides as indicated. Find the length of each side of the triangle. (2-7) cm/ (r+y-9) cm (y+5) cm
One fifth of the sum of two angles is 24" and half their difference is 14". Find the two angles.
The sum of two numbers is 48. If the smaller number is one fifth of the larger number, find the two numbers.
Two numbers are such that if 7 is added to the first number, a number twice the second number is obtained. If 20 is added to the second number, the number obtained is four times the first number. Find the two numbers.
8 kg of potatoes and 5 kg of carrots cost $28 whereas 2 kg of potatoes and 3 kg of carrots cost $11.20. Find the cost of 1 kg of each item.
A belt and a wallet cost $42. 7 belts and 4 wallets cost $213. Find the cost of each item.
The difference between two numbers is 10 and their sum is four times the smaller number. Find the two numbers
The sum of two numbers is 138 and their difference is 88. Find the two numbers.
A computer animation shows a cat moving in a straight line. Its height, I metres, above the ground, is given hy 839, where s is the time in seconds atter it starts moving. In the same animation, a mouse starts to move at the same time as the cat and its movement is given by - 29x + 10h = 16 Find
x = - 11 and x = 5 is the solution of the simultaneous equations p_{V} + 5v = q qN + 7N = p find the value of p and of q.
x = 3 and y = - 1 is the solution of the simultaneous equations-qx + Sv = p. 3pX + qy = 11 find the value of p and of. q.
Using either the elimination or the substitution method, solve each of the following pairs of simultaneous equations. (a) 2 x+y 2x+y 3x+4y=9 (b) (x-2)=(1-x) (x+2)=(3x) (c) 5x+y=2-x+y 9 7.x 3 y-x =1+ 2 3 (d) **=*=2x-3y+5
Using the substitution method, solve each of the following pairs of simultaneous equations. (a) 5+1+2=0 X+V (b) --10-0 (c) 3x-y=23 =3 3 3.x + 3 +5 (d) += 4 1 -=1
Using the substitution method, solve each of the following pairs of simultaneous equations. (a) 2x+5y=12 4x+3y=-4 (c) 3x + 7y=2 6x-5y=4 (e) 2y-5x=25 4x+3y=3 (b) 4x-3y=25 6x+5y=9 (d) 9x+2y=5 7x-3y=13 (f) 3x-5y=7 4x-3y=3
Using the elimination method, solve each of the following pairs of simultaneous equations. (c) @ 1453 *+1_3 ++ 22 3100 3435 y=3 -=12 576 (b) -- 25 225 (d) 1-3=107 11x=13y
Using the elimination method, solve each of the following pairs of simultaneous equations. (a) 4x-x-7=0 4x+3y-11=0 (c) 5x-3y-2=0) x+5y-6=0 (e) 7x+3y-8=0 3x-4x-14=0 (b) 7x+2y-33=0 3y-7x-17=0 (d) 5x-3x-13=0 7x-6y-20-0 (f) 3x+5y+8=0 4x+13y-2=0
Using the elimination method, solve each of the following pairs of simultaneous equations. (a)x+y=0.5 x-y=1 (c) 10x-3y=24.5 3x-5y=13.5 (b) 2x+0.4y=8 5x-1.2y=9 (d) 6x+5y=10.5 5x-3y=-2
Using the substitution method, solve each of the following pairs of simultaneous equations. (a)x+y=7 x-y=5 (c) 2x-7y=5 3x+y=-4 (e) 5x + 3y = 11 4x-y=2 (g) x+y=9 5x-2y=4 (b) 3x-y=0) 2x+y=5 (d) 5x-y=5 3x+2y=29 (f) 3x+5y=10 x-2y=7 (h) 5x+2y=3 x-4y=-6
Using the elimination method, solve each of the following pairs of simultaneous equations. (a) 7x-3y= 18 6x + 7y = 25 (c) 2x + 3y = 8 5x+2y=9 (e) 4x-3y=-1 5x-2y=4 (b) 4x+3y=-5 3x-2y=43 (d) 5x+4x=1| 3x+5y=4 (f) 5x-4y=23 2x-7y=11
Using the elimination method, solve each of the following pairs of simultaneous equations. (a) 7x-2y=17 3x + 4y = 17 (c) x + 2y = 3 3x+5y=7 (e) 7x-3y=13 2r-y=3 (b) 16x+5y=39 4x-3y=31 (d) 3x+y=-5 7x+3y=1 (f) 9x-5y=2 3x-4y=10
Using the elimination method, solve each of the following pairs of simultaneous equations. (a)x+y=16 x-y=0 (c) 11x+4y 12 9x-4y=8 (e) 3x+y=5 x+y=3 (g) 7x-3y=15 11x-3y=21 (i) 3a-2b=5 2b-5a=9 (k) 3/+4h=1 5f-4h=7 (b) x-y=5 x+x=19 (d) 4y+x=11 3y-x=3 (f) 2x+3y=5 2x+7=9 (h) 3y-2x=9 2v-2x=7 (j) 5c-2d=9 3c
Using the elimination method, solve each of the following pairs of simultaneous equations.(a) 9x + 2y = 5 7x - 3y = 13(b) 5417 2v - 3y = 11
Using the elimination method, solve the simultaneous equations 3x - y + 14 = 0 2x + y + 1 = 0
Using the elimination method, solve each of the following pairs of simultaneous equations.(a) x - x = 3 4x + y = 17(b) 7x + 2y = 19 7x + 8y = 13(c) 13x + 9y = 4 17x - 9x = 26(d) 4x - 5y = 17 x - 5x = 8
Using the graphical method, solve each of the following pairs of simultaneous equations. (a) y 3-5x (b) 3y+x=7 15y=35-5x
Using the graphical method, solve each of the following pairs of simultaneous equations. (a)x+2y=3 2x+4y=6 (c) 2y-x=2 4x-2x=4 (b) 4x+y=2 4x+y=-3 (d) 2y+x=4 2y+x=6
(a) Consider the equation x = 2 * x + 9(i) Copy and complete the table. X 0 y (ii) On a sheet of graph paper, using a scale of 1 cm to represent I unit on the x-axis and 1 cm to represent 4 units on the y-axis, draw the graph of y=2x+9 for-8x4.
Using the graphical method, solve each of the following pairs of simultaneous equations. (a)x+4y-12=0 4x+y-18=0 (c) 3x-2y-13=0 2x+2y=0 (b) 3x+y-2=0) 2x-y-3=0 (d) 2x+4y+5=0 -x+5y+1=0
Using the graphical method, solve each of the following pairs of simultaneous equations. (a) 3x-1=0 2x = 1 (c) 3x-21=7 2x + 3y = 9 (e) 2x+5y=25 3x-2y=9 (b) x-y=-3 x-2y=-1 (d) 3x+2y=4 5x+y=2 (f) 3x-4y=25 4x-y=16
(a) Using a graphing software, on separate axes, draw the graphs of each of the following pairs of simultaneous equations.(i) x + x = 1 3x + 3y = 15(ii) 2x + 3y = - 1 20x + 30y = - 40(iii) x - 2y = 5 5x - 10y = 30(b) What do you notice about the graphs of each pair of simultaneous equations?(c)
(a) Using a graphing software, on separate axes, draw the graphs of each of the following pairs of simultaneous equations.(1) x + y = 1 3x + 3y = 3(ii) 2x + 3y = - 1 20x + 30x = - 10(iii) x - 2x = 5 5x - 10y = 25(b) What do you notice about the graphs of each pair of simultaneous equations?(c) Does
Use your graph in Question 1 to find(i) the value of y when x = 1.3(ii) the value of x when-2.8.
1. Using a suitable scale, draw the graph of y = 3x - 1 Compare your graph with that of your classmate. Do the graphs look different?
Consider the equation -2x + y = - 3. (a) Copy and complete the table. x 0 2 (b) On a sheet of graph paper, using a scale of 4 cm to represent 1 unit on the x-axis and 2 cm to represent I unit on the y-axis, draw the graph of -2x+y=-3 for-1x2. (c) (i) On the same axes in (b), draw the graph of y=-1.
The variables and y are connected by the equation - r + 2v = 4 Some values of and the corresponding values of y are given in the table. x -5 P 0 2 (a) Find the value of p and of q. 5 4 (b) On a sheet of graph paper, using a scale of 1 cm to represent I unit on the x-axis and 2 cm to represent I
Consider the equation 3x - 4y = 6(6) Using a graphing software, draw the graph of 3r - 4y = 6(ii) The point (2, r) lies on the graph in (i). Determine the value of r.(iii) The point (s, -1.5) lies on the graph in (1). Determine the value of x.(iv) State the coordinates of two other points that
Consider the equation 2x + y = 3(i) Using a graphing software, draw the graph of 2x + y = 3(ii) Do the points A(2, 1) and B(-2, 5) lie on the graph in (i)? Do the coordinates of each of the points satisfy the equation 2x + y = 3? Explain your answers.(iii) The point (1. p) lies on the graph in (i).
Ethan cycled from home to a post office. On his way back, he stopped at a hawker centre to have his breakfast. The distance-time graph shows his entire journey. Distance from home (km) 40- 30- 20 10- D E Time (hours) 0600 0700 0800 0900 1000 1100 1200 (a) How far from his home was the post office?
The graph shows Khairul's journey when he visited a friend in Town C. During the journey, he stopped for breakfast at a cafeteria, after which he continued to drive to Town C. Distance travelled (km) 80 70- 60 B 50- 40 30 20- C 10- 10 Time 0 (hours) 1000 1030 1100 1130 1200 (a) At what time did he
A technician in a computer firm drove from his workshop to repair a customer's computer. On his way back, he stopped to repair another customer's computer. The distance-time graph shows his entire journey. Distance travelled (km) 9- 8- 7+ 6- D Time 0 (minutes) 20 30 50 60 (a) How long did he take
The travel graph shows a journey taken by a cyclist. He started his 50-km journey at 0800 hours. At 0900 hours, his bicycle tyre suffered a puncture and he spent half an hour repairing it. He then continued his journey and reached his destination at 1130 hours.(a) How far did the cyclist travel
In the figure, Line 1 is parallel to the x-axis and Line 3 is parallel to the y-axis. Line 2 is parallel to Line 5 and Line 4 is parallel to Line 6. If the gradients of Line 5 1 respectively, write down the gradients and Line 6 are 3 and of Line 1, Line 2, Line 3 and Line 4, Line 6 Line 1 Line 2
The figure shows five line segments. Line 1 Line 2 2- Line 5 Line 3 Line 4 0 3 -2 N. 2 -2- Find the gradient of each of the line segments. 3
Given that the equation of the line representing each of the following linear graphs is in the form y=mx+c, find the gradient m and state the y-intercept c.. (a) m 2 -N (b) 3 2- 0 2 3 4
Write down the gradient of each of the given lines. Line 2 3- 2+ 0 Line 1 2
The time, 7 days, needed to paint some buildings is directly proportional to the number of buildings, B. that need to be painted and inversely proportional to the number of painters employed, P. 18 painters can paint 3 buildings in 20 days.(i) Find an equation connecting 7, B and P.(ii) Find the
It is given that is directly proportional to v and inversely proportional to(i) Write down an equation connecting s. y and(ii) If z = 16 when x = 2 and v = 9 find the value of when x = 5 and y = 4.
If A is directly proportional to C and B is directly proportional to C. prove that each of the following is directly proportional to C. (a) A + B (b) A-B (c) JAB
5 men are hired to complete a job. If one more man is hired, the job can be completed 8 days earlier. Assuming that all the men work at the same rate, how many more men should be hired so that the job can be completed 28 days earlier?
Boyle's Law states that the pressure, P pascals (Pa), of a fixerl mass of gas at constant temperature is inversely proportional to its volume, V dm³. The pressure of 4000 dm of a gas in an airtight container is 250 Pa. Assuming that the temperature in the container is constant, find(i) the
Kate makes a donation to a charitable organisation on a monthly basis. Fler monthly donation is directly proportional to the square of her monthly savings. If she saves 5900 and $1200 in January and February respectively, her clonation increases by $35 from January to February. Find the amount of
The gravitational potential energy, G joules (J). of an object is directly proportional to its height, hm, above the surface of the Earth. When the object is at a height of 40 m above the surface of the Earth, its gravitational potential energy is 2200 J. Find(i) an equation connecting G and
The total monthly charges, SC, for a fixed phone line consists of a fixed amount of $9.81 and a variable amount which depends on the usage. For every minute used, $0.086 is charged.(i) If the duration of usage is 300 minutes, find the total monthly charges for the fixed phone line.(ii) If the total
Given that y is inversely proportional to 2v, copy and complete the table. r 0.2 0.5 2 1.5 0.96 0.375 y
8. If is inversely proportional to w + 3 and z = 4 when w = 3 find(i) the value of z when w = 9.(ii) the value of wwhen tau = 2.4
If g is inversely proportional to p² and q = 3 when rho = 5 find(i) an equation connecting and 4.(ii) the value of a when p = 10,(iii) the negative value of p when q = 1/3
If y is inversely proportional to x and y = 4 when x = 3(i) express y in terms of x.(ii) find the value of y when x = 6(iii) calculate the value of x when y = 24
If is clirectly proportional to root(N, 3) and l = 4 when s = 64 find(i) the value of / when s = 125(ii) the value of s when t = 2
If is directly proportional to wr and n = 9.375 when m = 2.5 find(i) the value of in when m = 3(ii) the values of m when n = 181.5
If y is directly proportional to x and y' = 108 when x = 3(i) find an equation connecting x and y.(ii) find the value of y when x = 7(iii) calculate the value of x when y = 4000,(iv) draw the graph of y against ..
If A is directly proportional to Band A=1 when B = 5/6 find 3(i) the value of A when B = 1/3(ii) the value of B when A = 7 1/2
If y is directly proportional to x and y = 6 when x = 2(i) express y in terms of x(ii) find the value of y when x = 11(iii) calculate the value of when x = 12(iv) draw the graph of y against
The force of attraction between two magnets is inversely proportional to the square of the distance between them. When the magnets are rem apart, the force of attraction between them is F newtons (N). If the distance between the magnets is increased by 400%, the force of attraction between them
v is inversely proportional to x and y = b for a particular value of x. Find an expression in terms of b for y when this value of x is tripled.
If y is inversely proportional to 2x + 1 and the difference in the values of y when chi = 0.5 and x = 2 is 0.9, find the value of y when x = -0.25.
For a fixed volume, the height, Ii em, of a cone is inversely proportional to the square of the base radius, r cm. Cone A has a base radius of 6 cm and a height of 5 cm. The base radius of Cone B is 3 cm and the height of Cone C is 1.25 cm. If all the cones have the same volume, find(i) the height
The force of repulsion, Fnewtons (N), between two particles is inversely proportional to the square of the distance, d m, between the particles.(i) Write clown a formula connecting F and d.(ii) When the particles are a certain distance apart, the force of repulsion is 20 N. Find the force when the
Given that r is inversely proportional to X ^ 3 copy and complete the table. S 1 2 80 0.08 0.01
If q ^ 2 inversely proportional to p + 3 and q = 5 when p = 2 find the values of a when p = 17
If is inversely proportional to sqrt[ root(x, 3) and z = 5 when x = 64 find the value of when x = 2/6

Showing 1400 - 1500 of 3107

First
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
Last

Step by Step Answers

Services

Sitemap
Fun
Definitions
Become Tutor
Used Textbooks
Study Help Categories
Recent Questions
Expert Questions
Campus Wear
Sell Your Books

Company Info

Security
Copyrights
Privacy Policy
Terms & Conditions
SolutionInn Fee
Scholarship
Online Quiz
Give Feedback, Get Rewards

Get In Touch

About Us
Contact Us
Career
Jobs
FAQ
Student Discount
Campus Ambassador

Secure Payment

Download Our App

© 2026 SolutionInn. All Rights Reserved