GRADE 11MATHEMATICS PAPER

Q1:Name

Q2:Data

:QUESTION 1

:1.1 Solve for x:

Q3:1.1.1[数学公式]

Q4:1.1.2[数学公式](Correct to TWO decimal places)

Q5:1.1.3[数学公式]

Q6:1.1.4[数学公式]

:1.2 Solve the following equations simultaneously:

Q7:[数学公式1][数学公式2]

:QUESTION 2

Q8:2.1 Simplify the following fully:[数学公式]

Q9:2.2 Solve for x:[数学公式]

Q10:2.3 Rewrite the following expression as a power of x:[数学公式]

:QUESTION 3

Q11:ACDF is a rectangle with an area of . B is a point on AC and E is a point[数学公式]. B is a point on AC and E is a pointon FD such that ABEF is a square with sides of length (x-2)cm each.[图片]Calculate the length of ED.

:QUESTION 4

:QUESTION 4

Q12:4.1 Show that the general term of the quadratic number pattern is given by[数学公式]

Q13:4.2 Which term of the quadratic pattern is equal to 128?

Q14:4.3 Determine the general term of the first differences.

Q15:4.4 Between which TWO terms of the quadratic pattern will the first difference be 599?

:QUESTION 5

Q16:5.1 How many white squares will be in the FOURTH pattern?

Q17:5.2 Determine the number of white squares in the th 157 pattern.

Q18:5.3 Calculate the largest value of n for which the pattern will have less than 613grey squares.

Q19:5.4 Show that the TOTAL number of squares in the th n pattern is always an odd number.

:QUESTION 6

Q20:6.1 Write down the equations of the asymptotes of f.

Q21:6.2 Calculate the x- and y-intercepts of f.

Q22:6.3 Sketch the graph of f. Show clearly the intercepts with the axes and the asymptotes.

Q23:6.4 If y = x + k is an equation of the line of symmetry of f, calculate the value of k.

:QUESTION 7

Q24:7.1 Write down the value of q.

Q25:7.2 If the graph of h passes through the point[数学公式].calculate the value of a.

Q26:7.3 Calculate the average gradient between the x-intercept and the y-intercept of h.

Q27:7.4 Determine the equation of p if[数学公式1]in the form[数学公式2]

:QUESTION 8

Q28:8.1 Write down the coordinates of C.

Q29:8.2 Determine the equation of f in the form[数学公式]

Q30:8.3 Determine the range of f.

Q31:8.4 Calculate the equation of g in the form[数学公式]

:8.5 For which values of x will:

Q32:8.5.1[数学公式]

Q33:8.5.2[数学公式]

Q34:8.5.2[数学公式]

Q35:8.6 For what values of p will[数学公式] have non-real roots?

Q36:8.7 T is a point on the x-axis and M is a point on f such that [数学公式]. TM intersects g at P. Calculate the maximum length of PM.

:QUESTION 9

Q37:9.1A tractor bought for R120 000 depreciates to R11 090,41 after 12 years by using the reducing balance method. Calculate the rate of depreciation per annum. (The rate was fixed over the 12 years.)

Q38:9.2Calculate the effective interest rate if interest is 9,8% p.a., compounded monthly.

Q39:9.3Mrs Pillay invested R80 000 in an account which offers the following:· 7,5 % p.a., compounded quarterly, for the first 4 years and thereafter· 9,2% p.a., compounded monthly, for the next 3 yearsCalculate the total amount of money that will be in the account at the end of 7 years if no further transactions happen on the account.

:9.4Exactly 8 years ago Tashil invested R30 000 in an account earning 6,5% per annum, compounded monthly.

Q40:9.4.1How much will he receive if he withdrew his money today?

Q41:9.4.2Tashil withdrew R10 000 three years after making the initial deposit and re-invested R10 000 five years after making the initial deposit.Calculate the difference between the final amount Tashil will now receive after eight years and the amount he would have received had there not been any transactions on the account after the initial deposit.

:QUESTION 10

Q42:10.1How many customers did NOT buy burgers on the day?

Q43:10.2Are events B and C mutually exclusive? Give a reason for your answer.

:10.3If a customer from this group is selected at random, determine the probability that he/she:

Q44:10.3.1Bought only a vegetarian burger

Q45:10.3.2Bought a cheese burger and a bacon burger

Q46:10.3.3 Did not buy a cheese burger

Q47:10.3.4Bought a bacon burger or a vegetarian burger

:QUESTION 11

Q48:Given: P(A) = 0,12P(B) = 0,35P(A or B) = 0,428Determine whether events A and B are independent or not. Show ALL relevant calculations used in determining the answer.

:QUESTION 12

Q49:12.1 How many red marbles are in the bag?

Q50:12.2 Draw a tree diagram to represent the above situation.

Q51:12.3 What is the probability that Paballo will choose a GREEN and a YELLOW marble?