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 blue marbles to the number of green marbles in a box is 5:4. When 56 blue marbles were replaced by 56 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:_______________
2)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 30 yellow marbles were replaced by 30 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:_______________
3)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 20 pink marbles were replaced by 20 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:_______________
4)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 54 red marbles were replaced by 54 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:_______________
5)
The ratio of the number of brown marbles to the number of yellow marbles in a box is 7:4. When 54 brown marbles were replaced by 54 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 blue marbles to the number of green marbles in a box is 5:4. When 64 blue marbles were replaced by 64 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:_______________
7)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 32 yellow marbles were replaced by 32 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:_______________
8)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 32 pink marbles were replaced by 32 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:_______________
9)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 42 red marbles were replaced by 42 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:_______________
10)
The ratio of the number of brown marbles to the number of yellow marbles in a box is 7:4. When 42 brown marbles were replaced by 42 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 blue marbles to the number of green marbles in a box is 5:4. When 56 blue marbles were replaced by 56 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: 560
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
= 56
1 unit
= 56 ÷ 2
= 28
Step 3:
20 units
= 20 x 28
= 560
2)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 30 yellow marbles were replaced by 30 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: 240
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
= 30
Step 2:
8 units
= 8 x 30
= 240
3)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 20 pink marbles were replaced by 20 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: 200
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
= 20
Step 2:
10 units
= 10 x 20
= 200
4)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 54 red marbles were replaced by 54 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: 252
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
= 54
1 unit
= 54 ÷ 3
= 18
Step 3:
14 units
= 14 x 18
= 252
5)
The ratio of the number of brown marbles to the number of yellow marbles in a box is 7:4. When 54 brown marbles were replaced by 54 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: 252
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
= 54
1 unit
= 54 ÷ 6
= 9
Step 3:
28 units
= 28 x 9
= 252
6)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 64 blue marbles were replaced by 64 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: 640
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
= 64
1 unit
= 64 ÷ 2
= 32
Step 3:
20 units
= 20 x 32
= 640
7)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 32 yellow marbles were replaced by 32 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: 256
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
= 32
Step 2:
8 units
= 8 x 32
= 256
8)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 32 pink marbles were replaced by 32 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: 320
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
= 32
Step 2:
10 units
= 10 x 32
= 320
9)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 42 red marbles were replaced by 42 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: 196
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
= 42
1 unit
= 42 ÷ 3
= 14
Step 3:
14 units
= 14 x 14
= 196
10)
The ratio of the number of brown marbles to the number of yellow marbles in a box is 7:4. When 42 brown marbles were replaced by 42 yellow marbles, the number of brown marbles became the same as the number of yellow marbles. How many brown marbles were there at first