Presence of God Mock Maths
Presence of God Mock Maths
Presence of God Mock Maths
(c)
(c) Mr. Agbadzi bought a motorbike for GH 420, 000. After one year, he sold the motorbike for GH
525, 000. Calculate his;
i. Profit
ii. Profit percent
iii. Cost price, if the new price of the motorbike is GH 600. 000.
3. The table below shows the frequency distribution of the number of letters in the surnames of
some students in a school.
No. of letters 4 5 6 7 8 9 10
No. of students 7 3 2 8 5 3 1
1
4. (a) i. The average of the numbers 5, 7, 2, 6, x , ( x +1 ) ,7 and 4 is 5. Find the value of x.
ii. if 14 x =9 ten ,find the value of x
(c) A woman sold an article for GH200, 000 and made a profit of 25%. Find the cost price of the
article.
1 4
(b) There are 50 pupils in a class. Out of this number 10 speak French only 5 of the remainder both
French and English. If the rest speak English only, find the number of students who speak;
i. French only
ii. Both French and English
iii. English only.
2
OBJECTIVE TEST (40 marks)
{ }
x : x is an even number greater 9. Express 87 ten as a base five numeral
than (a). 302five
4. If P= 12 ¿ ,
2∧less∨equal (b). 322five
¿
(c). 3022five
list the members of P
(d). 3202five
(a). { 2 , 4 , 2 , 8 ,10 , 12 }
(b). { 3 , 4 ,6 ,8 , 10 , 12 }
{ 2 , 4 , 6 , 8 , 10 }
10.John sold a car for GH60, 000 and made
(c).
a profit of 20%. What is the cost price
(d). { 4 , 6 , 8 ,10 , 12 }
of the car?
(a). GH¢48, 000. 00
5. Simplify 200 ×0.01 ×372 , leaving your
(b). GH¢50, 000. 00
answer in standard form
(c). GH¢72, 000. 00
(a). 74.4 ×10
1
3
(b). 11 (a). 0.00385
(c). 12 (b). 0.00386
(d). 15 (c). 0.0039
(d). 386
12.What is the HCF OF 18, 42 and 90?
(a). 21 17.Expand: 3 a ( a−4 b ) .
(b). 18 (a). 3 a−12 ab
(c). 9 (b). 2
3 a −12ab
(d). 6 (c). 2
3 a −12a
13.If P= {7 ,11 , 13 }∧Q= { 9,11,13 } , find P ∪Q . 18.Kofi is 2 years older than Ama. If the
(a). { 7 , 9 , 11, 13 } sum of their ages is 16 years. Find
(b). {7 , 9} Ama’s age
(c). { 11 ,13 } (a). 7 years
(d). { 9,13 } (b). 9 years
(c). 14 years
14.Arrange the following fractions from (d). 18 years
2
∧3
the lowest to highest, , 3 .
3 1
4 5 19.Solve for x ,if 2 x−4 x >20
3 2 3
(a). , , (a). x ←13⅓
5 3 4
3 3 2
(b). x ←5⁵/₇
(b). , ,
5 4 4 (c). x <5⁵/₇
3 2 3 (d). x >13⅓
(c). , ,
4 4 5
3 3 2
(d). , , 20.Convert 2114 five to base ten numeral
4 5 4
(a). 194
(b). 280
(c). 284
(d). 300
15.Simplify: −13 — 3+ (−10 ) .
(a). -26 21.A basket contains 450 oranges. If each
(b). -20 orange cost GH 15. 00, find the total
(c). -10 cost of the oranges.
(d). -6 (a). ¢30.00
16.Correct 0. 003858 to three significant (b). ¢435.00
figures. (c). ¢465.00
4
(d). ¢6,750.00 (b). 600
(c). 130
0
500 5
(a). 11
CLOTHING
11
(b). 45
22.What fraction of Mr. Awuali’s income 31
(c).
is spent on food? 45
1 41
(a). (d). 45
6
1
(b). 4 27.Multiply 247 by 32
1
(c). (a). 6916
3
2 (b). 7804
(d). 5 (c). 7904
(d). 1235
23.How much does Mr. Awuali spend on 28.Express 2474.5 in standard form
rent? (a). 2.4745 ×102
(a). ¢9,000.00 (b). 2.4745 ×103
(b). ȼ4,500.00 (c). 2.4745 ×10
−2
7
PRESENCE OF GOD ACADEMY
END OF SECOND TERM EXAMINATION 2021
MATHEMATICS 2 HOURS
FORM THREE (3)
8
(
2x 1
) ( )
6 9
( )
1. If m= 2 + 3 y ,n= −8 ∧m+n= −12 , fine the
i. Value of x and y
ii. Components of m
i. m, when n = 2
ii. n, when m = 5
(c) The ratio of the sheep to goats on a farm is 4 : 7. If there are 1, 428 sheep, find how many
goats are on the farm.
x−r
2. (a) Given that y= x +r ,
i. Make r the subject of the relation
ii. From (i), find the value of r when y= 3 and x = 10
(b) In a class of 30 girls, 17 play football, 12 play hockey and 4 play both games.
i. Draw a Venn diagram to illustrate the given information.
ii. How many girls play;
a. One or two of the games
b. None of the two games?
3. The table below shows the marks scored out of 10 by some candidate in a test.
Mark 1 2 3 4 5 6 7 8
Number of candidates 2 3 5 7 8 13 7 5
1 2 −3 1
4. (a) Solve for x ,if 3 x +1 3 < 4 x− 2 ∧¿represent the answer on the number line.
(b) Using a rule and a pair of compasses only, construct;
9
i. Triangle ABC such that |AB |= 12 cm, |AC| = 8 cm and ∠ BAC=300
ii. A perpendicular from C to meet AB at M.
iii. Measure
(a). Angle ABC
(b). |CM|
iv. Calculate the area of triangle ABC.
5. (a) A box has length 8. 0 cm, width 5. 0 cm and height 10. 0 cm. find the;
i. Total surface area of the box
ii. The volume of the box
(b) A cylinder which has a height of 90 cm and diameter 14 cm is closed at both ends. Find;
6. (a) i. using a scale of 2 cm to 1 unit on both axes draws two perpendicular axes Ox and Oy on
a graph sheet.
ii. On the same graph sheet mark the x – axis from – 5 to 5 and the y – axis from – 6 to 6.
(b) On the same graph sheet, plot the points A(2, 5), B(4, 3) and C(1, 1). Join the point A,B
and C to form a triangle.
(c) Reflect triangle ABC in the y – axis such that → A 1 , B → B 1, ∧C → C 1 . Label the vertices of
triangle A1 , B1 , C1
3
( )
(d) Translate triangle A1 B 1 C 1by the vector −4 such that A1 → A 2 , B 1 → B 2∧C1 →C 2
(e) Join the vertices A1 B 1 C 2∧C . Name the figure formed.
→
(f) Find A1 B 1
OBJECTIVE TEST
1. If (b). { 1,3,5,7,9,11,13 }
Q= {1 , 3 , 5 ,7 , 10 , 11, 15 }∧T = { 1, 2 ,3 ,5 , 6 , 7 , 11, 12 } , find Q ∪ T (c). { 1,2,3,4,5,6,7,8,9,10,11,12,13 }
(a). { 1,2,3,5,7,10,11 } (d). { 1,2,3,5,6,7,9,11,12,13,15 }
10
2. Arrange the following fraction in p−2 b
(a). a=
2
ascending order: 4¼, 4½, 4/⅓
p+ 2b
(a). 4¼, 4/⅓, 4½, (b). a=
2
(b). 4/⅓, 4½, 4¼ 2b− p
(c). 4½, 4/⅓, 4¼ (c). a=
2
(d). 4¼, 4½, 4/⅓ p−b
(d). a=
2
3. Find the integers within the intervals
5<x <9 9. Convert 133five to a base ten numeral
(a). { 5,6,7 } (a). 23
(b). { 5,6,7,8 } (b). 25
(c). { 5,6,7,8,9 } (c). 43
(d). { 6,7,8 } (d). 40
4. Express 0.055 as a common fraction 3
10.Express 8 as a percentage.
11
(a). 40 (a). 0.375%
5 (b). 12½%
(b). 18 (c). 25%
1 (d). 37½%
(c). 40
11
11.Given that 1 :3=x :21.find the value of x
(d). 200 (a). 4
5. Simplify: 4 ( x+2 )−3 ( x+1 ) (b). 5
(a). x +5 (c). 7
(b). x +11 (d). 63
(c). 7 x +5 12.In the diagram below, MNO is a
(d). 7 x +11 triangle. Angle MON = 720 and angle
6. Expand ( a+ 4 )( a+ 6 ) OMN = 680 . find angle ONP
(a). 2 a+24
(b). 2
a +6 a+10 O
(c). 2
a +10 a+ 10
720
(d). 2
a +10 a+ 24
7. If 6 n+ 4=16 , find the value of n
(a). 2
(b). 3 680
M N P
(c). 5
(d). 6 (a). 400
8. Make a the subject of the relation (b). 680
P=2 ( a+ b ) (c). 720
11
(d). 1400 (c). x → 2 ( x +1 )
13.How many lines of symmetry does a (d). x → 2 ( x −1 )
rectangle have? 17.The gradient of the straight line that
(a). 1 passes through points A ( 3 , 2 )∧B ( 4 , 8 ) is
(b). 2 −1
(a). 6
(c). 3
−1
(d). 4 (b). 2
14.Calculate the volume of cylinder with (c). 2
radius 7cm and height 10 cm. [Take π = (d). 6
22
7
]
( )( )
−2 −1
18.Simplify 3 + 5
(a). 220 cm 3
12
(d). 4 (d). 4
21.What is the modal number? 27.Find the highest common factor of 48,
(a). 1 60 and 96.
(b). 4 (a). 12
(c). 5 (b). 24
(d). 7 (c). 36
22.Calculate the mean number (d). 48
(a). 2 28.Simplify: 14⅓ −¿2 ⅜ +¿ 7 5/8
(b). 3 (a). 6⅜
(c). 4 5
(b). 7 12
(d). 5
5
23.Kofi bought four pencils at GH¢ 200.00 (c). 17 12
each and five pen at GH¢ 350.00 each. 13
How much did he pay altogether? (d). 17 24
(a). GH¢2, 400. 00 3 a+2 b|
29.If a=−4∧b=3 ,
(b). GH¢2, 450. 00 ab
3
(c). GH¢2, 550. 00 (a). 2
(d). GH¢2, 650. 00 (b). 1
24.Find the image of the point (2, 5) under (c). ½
(x) ( x )
the transformation y → 2− y (d).
−3
2
(a). (2, -3) 30.Simplify −4 ( 3−5 )+10−3 ( 7+ 4 ) +30
(b). (2, 2) (a). –1
(c). (2, 3) (b). 15
(d). (2, 7) (c). 56
25.Find the missing numbers in the (d). 65
sequence 4, 8, 12,…,…,…,..,28 36 a b x
3 2
14
15