1)February 2017 has 28 days. The number of days in this year's February is how many times of the number of days in one week?
1)     A. 4 times
2)     B. 7 times
3)     C. 21 times
4)     D. 35 times
5)     E. None of the above
2) There were 400 members in a chess club last year. The number of members decreased by 5% this year. How many members are there in the chess club this year?
 A. 395
B. 390
 C. 385
D. 380
E. 375
3) The product of all the factors of 10 is equal to _______.
 A. 17
 B. 100
 C. 50
D. 200
E. 10
4) The sum of two prime numbers is always ______
 A. even
B. divisible by 3
C. odd
D. greater than 3
 E. prime
5)A cheetah was running at 5 km per hour for ten seconds until it spotted an impala it wanted to catch. The cheetah then run faster and averaged to 60 km per hour for the next 40 seconds. The impala went away and the cheetah slowed down to an average of 5 km per hour for ten seconds. Rounded to the nearest km per hour, what was the cheetah’s average speed for the entire minute?
 A. 54 km/h
B. 50 km/h
C. 46 km/h
 D. 42 km/h
E. 35 km/h
5)I added the first ten whole numbers greater than 0. I forgot to include one whole number and I got 50 as the sum. Which one of these ten whole numbers I did not add?
A. 1
 B. 3
C. 5
D. 7
E. 6
5)Five fishermen, Ahe, Bahe, Cahe, Don, and Zella, all wanted to go out fishing. However, they only had three fishing poles, so only three of them could go out each day. How many different groups of 3 fishermen can be formed?
 A. 25
B. 20
 C. 15
 D. 12
E. 10
6) 8. In the game called “Geogons”, the product of the 2 numbers in the 2 circles, determine the number in the square between them.

 If A + B = 17 then find the value of A.
(A) 6
 (B) 7
(C) 8
(D) 9
7. A rectangular garden measures 200 metres all round. If the length is 10 metres more than twice its width, then find the width in metres.
 (A) 35
 (B) 30
 (C) 25
 (D) 20
 8. After a discount of 1 3 of the price, an item was sold for R400. What was the price of the item before discount?
 (A) R840
 (B) R720
 (C) R600
 (D) R480
9. Study the following problem. Do you know what (@) is doing to the 2 numbers?
4@2 = 7
4@6=10
 6@8 = 13
10. After you have discovered what (@) is doing then find the answer to: 10@4
(A) 12
 (B) 14
(C) 16
(D) 18

Time : 1 hour 20 min
1) What is (23 ÷ 6) correct to 2 decimal digits?
(A) 3.74
 (B) 3.73
 (C) 3.84
 (D) 3.83
2). Evaluate: 201 x 174 - 172 x 201 - 201
(A) 201
(B) 200
(C) 173
(D) 172
 3). In the following addition problem find A x B x C =…..
 A B C
 A B C
+ B C
 8 2 5
 (A) 105
 (B) 70
 (C) 60
(D) 50
4) meter of rectangle ABFE is twice the perimeter of pool CDGF. If BC = DG then determine length in metres of FG.

(A) 18
 (B) 20
(C) 22
(D) 24

5). This tower is 4 storey high and is made up of cubes. If 300 cubes were used to make the last storey then determine how many storey tower is this?

 (A) 24
(B) 25
(C) 26
(D) 27
6) Romy is 3 years more than half the mother’s age. In 8 years, time the mother will be 50. What is Romy’s age?
(A) 18
(B) 21
(C) 24
(D) 27
7) 70 natural numbers were arranged from 11 to 80. Every 3 rd number was struck off. Of the remaining numbers every 4 th number was struck off. How many odd numbers remained?
 

8. A plant increased its height by half of its previous height every week. If its height in the 3rd week was 54cm then determine its height in cm in the first week.
 
9. Calculate the sum:-
 1x1x1 + 2x2x2 + 3x3x3 + 4x4x4 + 5x5x5 +…..+ 20 x 20 x 20
 
10) A coordinate plane can be used to show the distance, in units, between two locations. The location of Jack’s house and a store are listed below.

Jack’s house is located at (-7,-8)

The store is located at (-7,4)

What is the distance, in units, between Jack’s house and the store?
A)    4
B)     8
C)     12
D)    14

Time : 1 hour 20 min
1)The ratio of boys to girls in Mr. Johnson’s after-school club is the same as the ratio of boys to girls in Ms. Greene’s after-school club. There are 4 boys and 12 girls in Mr. Johnson’s club. There are 6 boys in Ms. Greene’s club. How many girls are in Ms. Greene’s club?
A 2
 B 12
C 14
D 18
2) The regular price of an item at a store is dollars. The item is on sale for off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.
Expression A:0.2p
Expression B:0.8p
Expression C:1-0.2p
Expression D:p-0.2p
Expression E:p-0.8p
 Which two expressions each represent the sale price of the item?
A Expression A and Expression E
B Expression B and Expression C
C Expression B and Expression D
D Expression C and Expression D
3) A farmer plants 4 rows of seedlings. The Ārst 3 rows are equal in length. The length of the fourth row is 19 yards. The total length of the 4 rows is 61 yards. What is the length, in yards, of each of the Ārst 3 rows the farmer plants?
A 14
 B 22
C 39
D 42
 
 
 
 
 
 
4) Victoria has a movie subscription. She pays an annual membership fee of 24.00$ and also a fee of4.00 $  for each movie she watches. Which inequality can be used to determine the total number of movies, m , Victoria can watch if she wants to spend less than100$ per year

5) A store sellspackages of butter.The table belowshows the cost,in dollars, for different numbers of packages of butter

Cost of butter

 
Whatis the cost, per package,of the butter?
 
A    $0.31
B    $3.25
C    $6.75
D    $9.75
6) Afarmer plants 4 rows of seedlings. The first 3 rows are equal in length. The length of the fourth row is 19 yards. The total length of the 4 rows is 61 yards. What is the length,in yards, of each of the first 3 rows the farmer plants?
 
A    14
 
B    22
 
C    39
 
D    42
 
 
 
7) Which expression is equivalent to     
A          6.1x  1
B           6.1X-8
C          1.1X-1
D          1.1X-8
8) What is the valueof the expression shown below

9) There were two movies shown at a theater.A total of 150 tickets were sold for the first movie, and 40% more tickets were sold for the second movie than for the first movie. If each ticket sold for $13.50, what was the total amount of ticket sales, in dollars,
for both movies?
 
A                     $2,565.00
 
B                     $2,835.00
 
C                           $4,590.00
 
D                           $4,860.00
 
10) Mario sells men’s and women’s shoes in his shoe store. He is considering selling children’s shoes. He randomly selected 120 customers to participate in a survey. The survey results are shown below. 42 customers said they would shop for children’s shoes 78 customers said they would not shop for children’s shoes Mario has an average of 440 customers per month. Based on the survey results, which value is the best estimate of the number of customers that would shop for children’s shoes during an average month?
A 120
B 154
C 220
D 286

Time : 1 hour 20 min
1. What is the value of: 55 x 33 – 33 x 24 – 33 x 26?
 (A) 275
(B) 220
(C) 165
(D) 110
 2. If 2 5 of the production in a week is 22 000 items, then what is 1 11 of the number of the items?
 (A) 4 000
(B) 5 000
 (C) 6 000
(D) 7 000
3) Determine the area of the triangular sheet in cm².

 
 
(A) 96
 (B) 108
(C) 120
(D) 132
4) For what values of n will 39n7n is divisible by 6?
 (A) 8
 (B) 4
 (C) 2
(D) 6
 
 
 
 
 
5) If two points from line 1 is joined to two points from line 2 a quadrilateral is formed. What is the maximum number of quadrilaterals that can be formed?

(A) 30
(B) 24
(C) 18
(D) 12
6) Find the sum of the digits of:

(A) 10
(B) 12
(C) 14
 (D) 16
7) An ant travels alongside a regular hexagon with each side measuring 6 metres and done always keeping 2 metres from the side of the hexagon. What distance, in metres, would the ant have travelled when it returns to the original position?
???? = 22/ 7
(A) 48 1/ 7
(B) 48 4/ 7
(C) 48 5/ 7
(D) 48
8)  If a + b = 16; b+ c = 14 and a + c = 10 then determine the value of (a + b + c)³?
 (A) 8000
 (B) 7 600
(C) 7 200
(D) 1 000
 
 
 

9) Find the value of c if a + b = 200 ⁰ and the 3 sides of the quadrilateral are produced.

 
(A) 95⁰
 (B) 100 ⁰
 (C) 105⁰
(D) 110⁰
10) 125 cubes measuring 1cm with all pink faces are used to form one large cube. Two of the opposite faces are painted white. These cubes were then dismantled. How many cubes have 5 pink faces?
 (A) 75
(B)60
(C) 50
(D) 40

Time : 1 hour and half
Factorize: x ² – 4x -12
 (A) (x+6)(x-2)
 (B) (x+6)(x+2)
 (C) (x-6)(x-2)
(D) (x-6)(x+2)
 2. Convert 80 000 metres in 40 minutes to km/h.
(A) 120
(B) 130
(C) 140
 (D) 150
3. The product of (2x -3y)(4x ² + 6xy + 9y² ) is …
(A) 8x ³ + 27y³
(B) 8x ³ – 27y³
 (C) 8x ³ - 12xy – 27y³
 (D) 8x ³ – y ³
4.) The sum of five consecutive even numbers with a common difference of 4 is 5p + 40. The smallest number in terms of ‘p’ is…
(A) p-4
 (B) p+4
(C) p
(D) p+8
5) What is the value of: 4026x4026 – 4023 x 4029?
 (A) 10
(B) 9
 (C) 8
 (D) 7
6) If (x- 3) is the factor of 3x² + (4- p)x – 3 then find the value of p ?
(A) 12
 (B) 15
(C) 18
(D) 21
7)

In the above figure which is a regular pentagon the measurement of x is…….
(A) 54⁰
 (B) 60⁰
(C) 72⁰
(D) 84⁰
8) How many different natural numbers can n have such that M is a natural number?
M = ????????????+????????
          ????????+????
(A) 6
 (B) 5
 (C) 4
(D) 3
9) 1. If 40% of the land is 800m² then what is the area of the land?
 (A) 2000
 (B) 1900
 (C) 1800
(D) 1600

10) in the above game the sum of the two expressions in the 2 circles gives the expression in the square between them. Determine A in terms of x.
 (A) 1 /6????
 (B) −1 /3????
(C) 1/ 3????
(D) 2/ 3????

Time: 1 hour 20 minutes
1. Simplify:
(-3xy)^2 × √(16x^2y^4)
(A) 36x^3y^4
(B) 24x^3y^4
(C) 12x^3y^4
(D) -36x^3y^4
2. Solve the system of equations:
7x - 6y = 17
2x + 3y = 19
(A) (6, -3)
(B) (-6, 3)
(C) (5, 3)
(D) (5, -3)
3. What is the units digit of:
1250 × 350
(A) 3
(B) 4
(C) 5
(D) 6
4. A rectangular swimming pool is 20m long and 15m wide. The shallow end is 1.0m deep and the deep end is 1.8m deep. The cross-section is a trapezium. Find the area of the side walls (in m²):
(A) 96
(B) 98
(C) 104
(D) 108
5. 120,000 tickets for a cricket match were sold at R200 and R500 each. The total revenue was R36 million. How many R500 tickets were sold?
(A) 40,000
(B) 50,000
(C) 60,000
(D) 70,000
6. Use the quadratic formula:
x = (-b + √(b² - 4ac)) / (2a),
where a = 2, b = 5, c = -12. Find the value of x:
(A) 4
(B) 3/2
(C) -4
(D) -3/2
7. If f(x) = 3x² - 4x, then simplify:
(f(x + h) - f(x)) / h, where h ≠ 0
(A) 6x + 3h - 4
(B) 6x - 4
(C) 6x + 3h
(D) 3x + 3h - 4
8. What is the equation of the line perpendicular to:
x - 4y + 8 = 0,
and passing through the point P(-4, 2)?
(A) y = -4x - 14
(B) y = -4x + 14
(C) y = 4x - 14
(D) y = 4x + 14
9. If:
t = 1 / (2 + m)
and m = 1 / (4 + n),
then express n in terms of t:
(A) (4 + 9t) / (2t - 1)
(B) (4 - 9t) / (2t + 1)
(C) (4 - 9t) / (2t - 1)
(D) (4 + 9t) / (2t + 1)
10. You throw three regular six-sided dice. What is the probability that you get one odd number and two even numbers?
(A) 1/4
(B) 3/8
(C) 4/27
(D) 1/2
(E) 1/3

Time: 1 hour 20 minutes
1. For what real value of x is E undefined?
E = x / (x + 3)
(A) x = 3
(B) x = -3
(C) x ≥ 3
(D) x ≤ -3
2. Simplify:
(x^2 - 2xy) / (x^2 + xy) × (x^2 - y^2) / (2x - 4y)
(A) (x + y) / 2
(B) (x - y) / -2
(C) (x + y) / -2
(D) (x - y) / 2
3. Determine the distance AB if:
A(-5, -4) and B(1, 4)
(A) 8
(B) 10
(C) 13
(D) 15
4. Solve for x:
3x - 4 ≥ 20 + 5x
(A) x ≤ -12
(B) x ≤ 12
(C) x ≥ -12
(D) x ≥ 12
5. If 2sin(theta) = 3cos(theta), then 9 / tan^2(theta) =
(A) 9
(B) 6
(C) 5
(D) 4
6. If f(n - 2) = 2n - 1, then find f(n) in the form an + b:
(A) 2n + 1
(B) 2n + 3
(C) 2n - 3
(D) 3n
7. The graph B is defined by y = -x^2 + 6x - 5. The equation of the graph which is a reflection of B about the X-axis and translated 4 units to the left is:
(A) y = x^2 - 2x - 3
(B) y = x^2 + 2x + 1
(C) y = x^2 - 2x
(D) y = x^2 + 2x - 3
8. What is the smallest n for which (6n + 1)! / (3n + 4)! ends in at least three zeros?
(A) 4
(B) 5
(C) 6
(D) 7
9. Simplify to a single ratio:
(1 + cos(theta)) / sin(theta) × 1 / tan(theta)
(A) 1 - cos(theta)
(B) cos(theta) / (1 - cos(theta))
(C) (1 - cos(theta)) / cos(theta)
(D) 1 + cos(theta)
10. A small factory can produce 200 tables per week and sell them at R800 each. For every R100 price increase, 10 fewer tables are sold. If there are x increases, what value of x maximizes the receipts?
(A) 10
(B) 8
(C) 6
(D) 4