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 pink marbles to the number of orange marbles in a box is 5:4. When 25 pink marbles were replaced by 25 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 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:_______________
4)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 63 yellow marbles were replaced by 63 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:_______________
5)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 46 blue marbles were replaced by 46 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:_______________
6)
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:_______________
7)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 39 pink marbles were replaced by 39 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 27 red marbles were replaced by 27 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 yellow marbles to the number of green marbles in a box is 4:3. When 27 yellow marbles were replaced by 27 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:_______________
10)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 58 blue marbles were replaced by 58 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:_______________
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 pink marbles to the number of orange marbles in a box is 5:4. When 25 pink marbles were replaced by 25 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: 250
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
= 25
Step 2:
10 units
= 10 x 25
= 250
3)
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
4)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 63 yellow marbles were replaced by 63 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: 504
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
= 63
Step 2:
8 units
= 8 x 63
= 504
5)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 46 blue marbles were replaced by 46 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: 460
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
= 46
1 unit
= 46 ÷ 2
= 23
Step 3:
20 units
= 20 x 23
= 460
6)
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
7)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 39 pink marbles were replaced by 39 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: 390
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
= 39
Step 2:
10 units
= 10 x 39
= 390
8)
The ratio of the number of red marbles to the number of blue marbles in a box is 7:4. When 27 red marbles were replaced by 27 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: 126
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
= 27
1 unit
= 27 ÷ 3
= 9
Step 3:
14 units
= 14 x 9
= 126
9)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 27 yellow marbles were replaced by 27 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: 216
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
= 27
Step 2:
8 units
= 8 x 27
= 216
10)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 58 blue marbles were replaced by 58 green marbles, the number of blue marbles became the same as the number of green marbles. How many blue marbles were there at first