(a) On Sam’s first birthday celebration, his grandfather deposited an amount of S 1,000.00 in a bank compound at 4 % interest annually.
Find how much is in the account if Sam is 4 years old.
(b) In the diagram above, ABCD are points on the circle centre O. If |AB| = |BC| and ∠ADC= 50°, find ∠BAD.
In the diagram, PQRS is a circle. \(\overline{|PQ|}\) = \(\overline{|QS|}\). ∠SPR = 26° and the interior angles of PQS are in the ratio 2:3 :3.
Calculate: (i) PQR; (ii) RPQ; (iii) PRQ
(b) The coordinates of two points P and Q in a plane are (7, 3) and (5, x) respectively, where X is a real number.
If |PQ| = 29units, find the value of x.
The table shows the distribution of the number of hours per day spent in studying by 50 students.
|
Number of hours per day |
4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
|
Number of students |
5 | 7 | 5 | 9 | 12 | 4 | 3 | 5 |
Calculate, correct to two decimal places,
the: (a) mean; (b) standard deviation.
(a) A cottage is on a bearing of 200° and 110° from Dogbe’s and Manu’s farms respectively. If Dogbe walked 5 km and Manu 3 km from the cottage to their farms, find, correct to: (i) two significant figures, the distance between the two farms, (ii) the nearest degree, the bearing of Manu’s farm from Dogbe’s.
(b) A ladder 10 m long leaned against a vertical wall xm high. The distance between the wall and the foot of the ladder is 2 m longer than the height of the wall.
Calculate the value of x
In the diagram, \(\overline{PQ//RS}\) is a trapezium with QR//PS. U and T are points on \(\overline{PS}\) such that \(\overline{|PU|}\) = 5 cm,
\(\overline{|QU|}\) = 12 cm and ∠PUQ= ∠STR =90°. If the area of PQR = 20 cm\(^2\),
calculate, correct to the nearest whole number, the:
(a) perimeter; (b) area; of the trapezium
.(a) In APQR, ∠PQR= 90°. If its area is 216cm\(^2\) and |PQ|:|QR| is 3:4, find |PR|.
(b) The present ages of a man and his son are 47 years and 17 years respectively. In how many years would the man’s age be twice that of his son?
(a) Copy and complete the table of values for the relation y=2x\(^2\) – x – 2 for 4 ≤ x ≤ 4.
| x | -4 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 |
| y | 19 | -2 | 26 |
(b) Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on the y-axis, draw the graph of y = 2x\(^2\) – x – 2 for 4 ≤ x ≤ 4.
(c) On the same axes, draw the graph of y = 2x + 3.
(d) Use the graph to find the: (i) roots of the equation 2x-3r-5 0; (i) range of values of x for which 2x\(^2\) -x – 2<0.
.(a) In a class of 80 students,\(\frac{3}{4}\) study Biology and \(\frac{3}{5}\) study Physics.
If each student studies at least one of the subjects: (i) draw a Venn diagram to represent this information
(ii) how many students study both subjects
(iii) find the fraction of the class that study Biology but not Physics.
(b) Johnson and Jocatol Ltd. owned a business office with floor measuring 15m by 8 m which was to be carpeted.
The cost of carpeting was Gh¢ 890.00 per square metre. If a total of GH 216,120.00 was spent on painting and carpeting, how much was the cost of painting?
(a) A man shared his property among his children as follows:
|
Child’s name |
Ann | Afia | Kojo | Nuno |
Akom |
|
Percentage share |
5 | 15 | 10 | 45 |
25 |
Represent the information on a pie chart
(b) A box contains 5 red, 3 green and 4 blue identical beads. Calculate the probability th a girl takes away two red beads, one after the other, from the box.
In the diagram, \(\overline{AD}\) is a diameter of a circle with Centre O. If ABD is a triangle in a semi-circle ∠OAB=34″,
find: (a) ∠OAB (b) ∠OCB
The points X, Y and Z are located such that Y is 15 km south of X, Z is 20 km from X on a bearing of 270″.
Calculate, correct: (a) two significant figures, |YZ|
(b) The nearest degree, the bearing of Y from Z
A man left town am at 10:00 AM and traveled by car to town N at an average speed of 72 km/h.
He spent 2hours for a meeting and returned through town M by bus at an average speed of 40KM/H.
If the distance covered by the bus was 2km longer than that of the car and he arrived at town M at 1 :55PM.
calculate distance from M to N.
(a) Mr Sarfo borrowed $25,000 from Afiak financial services at 21% simple interest per annum for 3 years if he was able to pay back the loan in two years at equal yearly installments how much did he pay each year?
(b) Two consecutive numbers are such that the sum of thrice the smaller and twice the larger is 17.
find correct through three significant figures the smaller number as a percentage of the sum of the two numbers
For what value of x is \(\frac{4 – 2x}{x + 1}\) undefined.
- A. 2
- B. -1
- C. 1
- D. -2
The equation of a line is given as 3 x – 5y = 7. Find its gradient (slope)
- A. \(\frac{5}{3}\).
- B. \(\frac{3}{5}\).
- C. \(\frac{-3}{5}\).
- D. \(\frac{-5}{3}\).
A man will be (x+10)years old in 8years time. If 2years ago he was 63 years., find the value of x
- A. 55
- B. 63
- C. 57
- D. 67
A fair die is tossed twice what is the probability of get a sum of at least 10.
- A. \(\frac{5}{36}\)
- B. \(\frac{2}{3}\)
- C. \(\frac{5}{18}\)
- D. \(\frac{1}{6}\)
A box contains 40 identical balls of which 10 are red and 12 are blue. if a ball is selected at random from the box what is the probability that it is neither red nor blue?
- A. \(\frac{9}{20}\)
- B. \(\frac{3}{10}\)
- C. \(\frac{1}{4}\)
- D. \(\frac{11}{20}\)
The pie chart represents the distribution of fruits on display in the shop if there are 60 apples on display how many oranges are there?
- A. 80
- B. 270
- C. 120
- D. 90
The distance d between two villages east more than 18 KM but not more than 23KM.
which of these inequalities represents the statements?
- A. 18 ≤ d ≤ 23
- B. 18 < d < 23
- C. 18 ≤ d < 23
- D. 18 < d ≤ 23
500 tickets were sold for a concert tickets for adults and children were sold at $4.50 and $3.00 respectively if the total receipts for the concerts was $1987.50 how many tickets for adults were sold?
- A. 325
- B. 235
- C. 175
- D. 400