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 52 yellow marbles were replaced by 52 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 28 pink marbles were replaced by 28 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 blue marbles to the number of green marbles in a box is 5:4. When 38 blue marbles were replaced by 38 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:_______________
4)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 66 red marbles were replaced by 66 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 30 brown marbles were replaced by 30 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 70 yellow marbles were replaced by 70 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 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:_______________
8)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 22 blue marbles were replaced by 22 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:_______________
9)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 57 red marbles were replaced by 57 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 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:_______________
1)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 52 yellow marbles were replaced by 52 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: 416
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
= 52
Step 2:
8 units
= 8 x 52
= 416
2)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 28 pink marbles were replaced by 28 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: 280
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
= 28
Step 2:
10 units
= 10 x 28
= 280
3)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 38 blue marbles were replaced by 38 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: 380
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
= 38
1 unit
= 38 ÷ 2
= 19
Step 3:
20 units
= 20 x 19
= 380
4)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 66 red marbles were replaced by 66 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: 308
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
= 66
1 unit
= 66 ÷ 3
= 22
Step 3:
14 units
= 14 x 22
= 308
5)
The ratio of the number of brown marbles to the number of yellow marbles in a box is 7:4. When 30 brown marbles were replaced by 30 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: 140
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
= 30
1 unit
= 30 ÷ 6
= 5
Step 3:
28 units
= 28 x 5
= 140
6)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 70 yellow marbles were replaced by 70 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: 560
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
= 70
Step 2:
8 units
= 8 x 70
= 560
7)
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
8)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 22 blue marbles were replaced by 22 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: 220
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
= 22
1 unit
= 22 ÷ 2
= 11
Step 3:
20 units
= 20 x 11
= 220
9)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 57 red marbles were replaced by 57 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: 266
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
= 57
1 unit
= 57 ÷ 3
= 19
Step 3:
14 units
= 14 x 19
= 266
10)
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