For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
1)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 68 yellow marbles were replaced by 68 green marbles, the number of yellow marbles became the same as the number of green marbles. How many yellow marbles were there at first
Answer:_______________
2)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 22 pink marbles were replaced by 22 orange marbles, the number of pink marbles became the same as the number of orange marbles. How many pink marbles were there at first
Answer:_______________
3)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 48 red marbles were replaced by 48 blue marbles, the number of red marbles became the same as the number of blue marbles. How many red marbles were there at first
Answer:_______________
4)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 24 blue marbles were replaced by 24 green marbles, the number of blue marbles became the same as the number of green marbles. How many blue marbles were there at first
Answer:_______________
5)
The ratio of the number of brown marbles to the number of yellow marbles in a box is 7:4. When 60 brown marbles were replaced by 60 yellow marbles, the number of brown marbles became the same as the number of yellow marbles. How many brown marbles were there at first
Answer:_______________
6)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 69 yellow marbles were replaced by 69 green marbles, the number of yellow marbles became the same as the number of green marbles. How many yellow marbles were there at first
Answer:_______________
7)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 27 pink marbles were replaced by 27 orange marbles, the number of pink marbles became the same as the number of orange marbles. How many pink marbles were there at first
Answer:_______________
8)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 30 red marbles were replaced by 30 blue marbles, the number of red marbles became the same as the number of blue marbles. How many red marbles were there at first
Answer:_______________
9)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 26 blue marbles were replaced by 26 green marbles, the number of blue marbles became the same as the number of green marbles. How many blue marbles were there at first
Answer:_______________
10)
The ratio of the number of brown marbles to the number of yellow marbles in a box is 7:4. When 24 brown marbles were replaced by 24 yellow marbles, the number of brown marbles became the same as the number of yellow marbles. How many brown marbles were there at first
Answer:_______________
1)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 68 yellow marbles were replaced by 68 green marbles, the number of yellow marbles became the same as the number of green marbles. How many yellow marbles were there at first
Answer: 544
SOLUTION 1 :
Before
Yellow
:
Green
4
:
3
8
:
6
After
Yellow
:
Green
1
:
1
7
:
7
Step 1:
8 units - 7 units
= 1 unit
1 unit
= 68
Step 2:
8 units
= 8 x 68
= 544
2)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 22 pink marbles were replaced by 22 orange marbles, the number of pink marbles became the same as the number of orange marbles. How many pink marbles were there at first
Answer: 220
SOLUTION 1 :
Before
Pink
:
Orange
5
:
4
10
:
8
After
Pink
:
Orange
1
:
1
9
:
9
Step 1:
10 units - 9 units
= 1 unit
1 unit
= 22
Step 2:
10 units
= 10 x 22
= 220
3)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 48 red marbles were replaced by 48 blue marbles, the number of red marbles became the same as the number of blue marbles. How many red marbles were there at first
Answer: 224
SOLUTION 1 :
Before
Red
:
Blue
7
:
4
14
:
8
After
Red
:
Blue
1
:
1
11
:
11
Step 1:
14 units - 11 units
= 3 units
Step 2:
3 units
= 48
1 unit
= 48 ÷ 3
= 16
Step 3:
14 units
= 14 x 16
= 224
4)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 24 blue marbles were replaced by 24 green marbles, the number of blue marbles became the same as the number of green marbles. How many blue marbles were there at first
Answer: 240
SOLUTION 1 :
Before
Blue
:
Green
5
:
4
20
:
16
After
Blue
:
Green
2
:
2
18
:
18
Step 1:
20 units - 18 units
= 2 units
Step 2:
2 units
= 24
1 unit
= 24 ÷ 2
= 12
Step 3:
20 units
= 20 x 12
= 240
5)
The ratio of the number of brown marbles to the number of yellow marbles in a box is 7:4. When 60 brown marbles were replaced by 60 yellow marbles, the number of brown marbles became the same as the number of yellow marbles. How many brown marbles were there at first
Answer: 280
SOLUTION 1 :
Before
Brown
:
Yellow
7
:
4
28
:
16
After
Brown
:
Yellow
2
:
2
22
:
22
Step 1:
28 units - 22 units
= 6 units
Step 2:
6 units
= 60
1 unit
= 60 ÷ 6
= 10
Step 3:
28 units
= 28 x 10
= 280
6)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 69 yellow marbles were replaced by 69 green marbles, the number of yellow marbles became the same as the number of green marbles. How many yellow marbles were there at first
Answer: 552
SOLUTION 1 :
Before
Yellow
:
Green
4
:
3
8
:
6
After
Yellow
:
Green
1
:
1
7
:
7
Step 1:
8 units - 7 units
= 1 unit
1 unit
= 69
Step 2:
8 units
= 8 x 69
= 552
7)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 27 pink marbles were replaced by 27 orange marbles, the number of pink marbles became the same as the number of orange marbles. How many pink marbles were there at first
Answer: 270
SOLUTION 1 :
Before
Pink
:
Orange
5
:
4
10
:
8
After
Pink
:
Orange
1
:
1
9
:
9
Step 1:
10 units - 9 units
= 1 unit
1 unit
= 27
Step 2:
10 units
= 10 x 27
= 270
8)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 30 red marbles were replaced by 30 blue marbles, the number of red marbles became the same as the number of blue marbles. How many red marbles were there at first
Answer: 140
SOLUTION 1 :
Before
Red
:
Blue
7
:
4
14
:
8
After
Red
:
Blue
1
:
1
11
:
11
Step 1:
14 units - 11 units
= 3 units
Step 2:
3 units
= 30
1 unit
= 30 ÷ 3
= 10
Step 3:
14 units
= 14 x 10
= 140
9)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 26 blue marbles were replaced by 26 green marbles, the number of blue marbles became the same as the number of green marbles. How many blue marbles were there at first
Answer: 260
SOLUTION 1 :
Before
Blue
:
Green
5
:
4
20
:
16
After
Blue
:
Green
2
:
2
18
:
18
Step 1:
20 units - 18 units
= 2 units
Step 2:
2 units
= 26
1 unit
= 26 ÷ 2
= 13
Step 3:
20 units
= 20 x 13
= 260
10)
The ratio of the number of brown marbles to the number of yellow marbles in a box is 7:4. When 24 brown marbles were replaced by 24 yellow marbles, the number of brown marbles became the same as the number of yellow marbles. How many brown marbles were there at first