Given 75.6 ÷ 6 = 12.6,
75.6 ÷ 60 = 75.6 ÷ 6 ÷ 10
= 12.6 ÷ 10
= 1.26
Ans (3)
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Question 2
25 431.89
2- Ten thousands place
5- Thousands place
3- Tens place
1- Ones place
8- Tenths place
9- Hundredths place
Ans (1)
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Question 3
Ans (2) - 450
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Question 4
Convert the mixed number to improper fraction (in quarters)
10/4 = 10 quarters
Ans (1) - 10
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Question 5
Ans (2) 4 351 000
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Question 6
Perimeter = outline = sum of the 3 sides
Step 1 : Find length AB (H)
Area of triangle = 1/2 x B x H
96 = 1/2 x 16 x H
96 = 8 x H
H = 96 ÷ 8 = 12
Step 2 : Find the perimeter
Perimeter = 16 + 20 + 12 = 48 cm
Ans (3)
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Question 7
(Draw the trees - to visualise the number of intervals)
Distance bet 1st and 4th tree = 3 units
3 units => 24 m
1 unit => 24 ÷ 3 = 8 m
Distance between 1st and 10th tree = 9 intervals = 9 units
9 units => 9 x 8 = 72 m
Ans (1)
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Question 8
Ans (2)
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Question 9
Ahmad 7 units
Benny 3 units
Total - 10 units -> 30 years1 unit -> 30 ÷ 10 years = 3 years
7 units -> 3 x 7 = 21 years old
Ans (4)
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Question 10
Area of BCD = 1/2 x B x H
= 1/2 x BC x AD
= 1/2 x 5 x 5
= 12.5
Ans (1)
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Question 11
2 eggs --> 80 g of flour
1 egg --> 80g ÷ 2 = 40g of flour
7 eggs --> 40g x 7 = 280 g of flour
Ans (3)
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Question 12
(8m + 3 - 3m) ÷ 3
= (8m - 3m + 3) ÷ 3
= (5m +3) ÷ 3
= (5m+3)
3
Ans (3)
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Question 13
Step 1 : Find the height (Line AB) of triangle AXC
Area of ABC = 1/2 x B x H
80 = 1/2 x BC x AB
80 = 1/2 x (9+7) x AB
80 = 1/2 x 16 x AB
80 = 8 x AB
AB = 80 ÷ 8
= 10cm
Step 2 : Find the area of triangle AXC
Area of AXC = 1/2 x B x H
= 1/2 x (XC) x (AB)
= 1/2 x 9 x 10
= 1/2 x 90
= 45
Ans (3)
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Question 15
James 6 units
Son 1 unit
Daughter => 1 unit - 2 years
Solution :
James : 6 units --> b years old
Son : 1 unit --> b ÷ 6 = b/6 years old
Daughter : 1 unit - 2 years = b/6 - 2
Ans (3)
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Question 16
8w + 10 + 2 w - 7
= 8w + 2w + 10 - 7
= 10w + 10 - 7
= 10w +3
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Question 17
3y + 21 - 6y (y = 7)
= 3 x y + 21 - 6 x y
= 3 x 7 + 21 - 6 x 7
= 21 + 21 - 42
= 42 - 42
= 0
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Question 18
6 + 2 = 8
Ans : 8 faces
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Question 19
30 + 7 x 20 - 200 ÷ 5
= 30 + 140 - 40
= 170 - 140
= 130
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Question 20
Two digit number = AB (less than 70)
Sum of my digits = A + B = 9
Divisible by 7 --> means the number is a multiple of 7
Step 1 : List out all the multiples of 7 that are less than 70 and their respective sum of the digits
Multiples of 7 (AB) Sum of digits (= 9?)
14 1 + 4 = 5 (Not the ans)
21 2 + 1 = 3 (not the ans)
28 2 + 8 = 10 (not the ans)
35 3 + 5 = 8 (not the ans)
42 4 + 2 = 6 (not the ans)
49 4 + 9 = 13 (not the ans)
56 5 + 6 = 11 (not the ans)
63 6 + 3 = 9 (YES ! meet all conditions)
Ans: The number is 63.
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Question 21
From the diagram,
12 units (interval) => 1.2m = 120cm
1 unit => 120 ÷ 12 = 10cm
Shaded rectangle : 7 units => 10 x 7 = 70 cm
Ans : 70 cm
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Question 22
(Note : qn require you to answer in litre)
Convert 750ml to litre
750ml = 0.750 litre
Volume of the drink = 750ml + 1.5 litre
= 0.75 +1.5 litre
= 2.25 litre.
Ans : 2.25 litre
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Question 23
(Make sure that the units are the same)
Ratio : 60 cents : $10.20
= 60 cents : 1020 cents
= 60 : 1020
= 6 : 102
= 1 : 17
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Question 24
Total units to make the paint (2Litres) = 5 + 3 + 2 = 10 units
10 units ==> 2 litres
1 unit ==> 2 ÷ 10 = 0.2 litres
5 units (Blue) ==> 0.2 x 5 litres = 1 litre
Ans : 1 litre
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Question 25
Joe has 3/4 as many stickers as David :
Joe 3 units
David 4 units
Joe gave 1/2 to David : Joe have 3 units, we have to change it to 6 units so that we can divide total into 2 easily.
New ratio:
Joe 6 units
David 8 units
After :
Joe 6 x 1/2 = 3 units (left 1/2)
David 8 units + 3 units (from Joe) = 11 units
Joe : David
Ans - 3 : 11
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Question 26
Cheryl has 250 stamps.
1 album can contain 184 stamps.
2 albums can contain 184 x 2 = 368 stamps
Extra stamps to fill up 2 albums = 368 - 250 = 118 stamps
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Question 27
Danny - > 48 kg
Brother -> 48 + 14 = 62 kg
Total -> 62 + 48 = 110 kg
Average mass = total ÷ 2
= 110 ÷ 2
= 55 kg
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Question 28
Toy car - $ b
Doll - $ c more than car --> $ c + b
Items
4 Toy Car : b + b + b + b
2 dools : c + b + c + b = 2 c + 2 b
Total : 4 b + 2c + 2b
= 4b + 2b + 2c
= 6b + 2 c
Ans : $ (6b + 2c)
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Question 29
Total ribbon Linda has = 5 metres
1 present -> 3x metres
2 presnts -> 3x x 2 = 6x metres
Amount left : Total - used = ( 5 - 6x ) m
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Question 30
Red 1 unit
Blue 4 units
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Blue 1 part ----> 1 x 4 = 4 units
Green 3 parts -----> 3 x 4 = 12 units
(Task : Make the no. of units for Blue pens to be the same)
-- common no is 4 : refer to the red working above)
Red : Total
1 : (1 + 4 + 12)
1 : 17
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Question 31
Top : Triangle : 3 equal sides = 3 equal pieces of wire
Bottom : Same as top = 3 equal pieces of wire
Side : 3 edges = 3 equal pieces of wire
Total pieces of wire needed = 3 + 3+ 3 = 9
Each piece (1 edge) = 6cm
9 pieces = 6 x 9 cm = 54 cm
Ans : 54 cm
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Question 32
47.48 = 40 + 7 + ?/25
47.48 = 40 + 7 + 0.48
From the above two,
0.48 = ?/ 25
48/100 = ? / 25
48/100 = 12 / 25
Hence ? = 12
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Question 33
Average = 0.25 litre (each guest) = 1/4 litre
34 guests => 34 x 0.25 litre = 34 x 1/4 = 17/2 = 8.5 litre
Left = Total - used = 15 - 8.5 = 6.5 litre.
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Question 34
Fiona 7 units
Gena 6 units
Helen 15 units
Gena has less than Helen => lesser by 15 - 6 = 9 units
9 units = $72
1 unit = $72 ÷ 9 = $8
Fiona (7 units) => $8 x 7 = $56
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Question 35
Lucy : 16 units
Mary : 5 units
Tota : 16 + 5 = 21 units
Sum (21 units) ==> 63 years
1 unit ==> 63 ÷ 21 = 3 years
Mary (5 units) ==> 3 x 5 = 15 years old (NOW)
In 15 years' time ==> 15 + 15 = 30 years old.
Ans 30 years old.
