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 brown marbles to the number of yellow marbles in a box is 7:4. When 36 brown marbles were replaced by 36 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:_______________
2)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 44 blue marbles were replaced by 44 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:_______________
3)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 48 yellow marbles were replaced by 48 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:_______________
4)
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:_______________
5)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 21 red marbles were replaced by 21 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:_______________
6)
The ratio of the number of brown marbles to the number of yellow marbles in a box is 7:4. When 48 brown marbles were replaced by 48 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:_______________
7)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 40 blue marbles were replaced by 40 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:_______________
8)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 47 yellow marbles were replaced by 47 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:_______________
9)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 36 pink marbles were replaced by 36 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:_______________
10)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 51 red marbles were replaced by 51 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:_______________
1)
The ratio of the number of brown marbles to the number of yellow marbles in a box is 7:4. When 36 brown marbles were replaced by 36 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: 168
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
= 36
1 unit
= 36 ÷ 6
= 6
Step 3:
28 units
= 28 x 6
= 168
2)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 44 blue marbles were replaced by 44 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: 440
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
= 44
1 unit
= 44 ÷ 2
= 22
Step 3:
20 units
= 20 x 22
= 440
3)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 48 yellow marbles were replaced by 48 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: 384
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
= 48
Step 2:
8 units
= 8 x 48
= 384
4)
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
5)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 21 red marbles were replaced by 21 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: 98
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
= 21
1 unit
= 21 ÷ 3
= 7
Step 3:
14 units
= 14 x 7
= 98
6)
The ratio of the number of brown marbles to the number of yellow marbles in a box is 7:4. When 48 brown marbles were replaced by 48 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: 224
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
= 48
1 unit
= 48 ÷ 6
= 8
Step 3:
28 units
= 28 x 8
= 224
7)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 40 blue marbles were replaced by 40 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: 400
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
= 40
1 unit
= 40 ÷ 2
= 20
Step 3:
20 units
= 20 x 20
= 400
8)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 47 yellow marbles were replaced by 47 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: 376
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
= 47
Step 2:
8 units
= 8 x 47
= 376
9)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 36 pink marbles were replaced by 36 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: 360
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
= 36
Step 2:
10 units
= 10 x 36
= 360
10)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 51 red marbles were replaced by 51 blue marbles, the number of red marbles became the same as the number of blue marbles. How many red marbles were there at first