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 pink marbles to the number of orange marbles in a box is 5:4. When 29 pink marbles were replaced by 29 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:_______________
2)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 62 blue marbles were replaced by 62 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 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:_______________
4)
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:_______________
5)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 43 yellow marbles were replaced by 43 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:_______________
6)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 33 pink marbles were replaced by 33 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:_______________
7)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 52 blue marbles were replaced by 52 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 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:_______________
9)
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:_______________
10)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 36 yellow marbles were replaced by 36 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:_______________
1)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 29 pink marbles were replaced by 29 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: 290
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
= 29
Step 2:
10 units
= 10 x 29
= 290
2)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 62 blue marbles were replaced by 62 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: 620
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
= 62
1 unit
= 62 ÷ 2
= 31
Step 3:
20 units
= 20 x 31
= 620
3)
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
4)
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
5)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 43 yellow marbles were replaced by 43 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: 344
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
= 43
Step 2:
8 units
= 8 x 43
= 344
6)
The ratio of the number of pink marbles to the number of orange marbles in a box is 5:4. When 33 pink marbles were replaced by 33 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: 330
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
= 33
Step 2:
10 units
= 10 x 33
= 330
7)
The ratio of the number of blue marbles to the number of green marbles in a box is 5:4. When 52 blue marbles were replaced by 52 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: 520
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
= 52
1 unit
= 52 ÷ 2
= 26
Step 3:
20 units
= 20 x 26
= 520
8)
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
9)
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: 238
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
= 51
1 unit
= 51 ÷ 3
= 17
Step 3:
14 units
= 14 x 17
= 238
10)
The ratio of the number of yellow marbles to the number of green marbles in a box is 4:3. When 36 yellow marbles were replaced by 36 green marbles, the number of yellow marbles became the same as the number of green marbles. How many yellow marbles were there at first