Scroll:Measurement >> Length >> saq (454)


Written Instructions:

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 total length of three ropes, A, B and C is 198 cm.

Rope A is 9 cm shorter than rope B while rope B is 12 cm shorter than rope C.

Find the length of rope C.

Express your answer in centimetres.

cm


Answer:_______________




2)  

The total height of three water bottles, X, Y and Z is 186 cm.

X is 6 cm shorter than Y while Y is 18 cm shorter than Z.

Find the height of Z.

Express your answer in centimetres.

cm


Answer:_______________




3)  

The total length of three pencils, A, B and C is 33 cm.

Pencil A is 3 cm shorter than pencil B while pencil B is 9 cm shorter than pencil C.

Find the length of pencil C.

Express your answer in centimetres.

cm


Answer:_______________




4)  

The total length of three ropes, A, B and C is 252 cm.

Rope A is 3 cm shorter than rope B while rope B is 15 cm shorter than rope C.

Find the length of rope C.

Express your answer in centimetres.

cm


Answer:_______________




5)  

The total length of three ropes, A, B and C is 249 cm.

Rope A is 6 cm shorter than rope B while rope B is 15 cm shorter than rope C.

Find the length of rope C.

Express your answer in centimetres.

cm


Answer:_______________




6)  

The total height of three friends, Gen, Hank and Joel is 498 cm.

Gen is 3 cm shorter than Hank while Hank is 12 cm shorter than Joel.

Find Joel's height.

Express your answer in centimetres.

cm


Answer:_______________




7)  

The total length of three pencils, A, B and C is 27 cm.

Pencil A is 3 cm shorter than pencil B while pencil B is 9 cm shorter than pencil C.

Find the length of pencil C.

Express your answer in centimetres.

cm


Answer:_______________




8)  

The total height of three water bottles, X, Y and Z is 150 cm.

X is 3 cm shorter than Y while Y is 15 cm shorter than Z.

Find the height of Z.

Express your answer in centimetres.

cm


Answer:_______________




9)  

The total length of three boxes, A, B and C is 282 cm.

Box A is 6 cm shorter than box B while box B is 15 cm shorter than box C.

Find the length of box C.

Express your answer in centimetres.

cm


Answer:_______________




10)  

The total length of three ropes, A, B and C is 123 cm.

Rope A is 3 cm shorter than rope B while rope B is 15 cm shorter than rope C.

Find the length of rope C.

Express your answer in centimetres.

cm


Answer:_______________




 

1)  

The total length of three ropes, A, B and C is 198 cm.

Rope A is 9 cm shorter than rope B while rope B is 12 cm shorter than rope C.

Find the length of rope C.

Express your answer in centimetres.

Answer: 77 cm


SOLUTION 1 :

Step 1: 9 + 9 + 12 = 30 cm

Step 2: 198 - 30 = 168 cm

Step 3: 168 ÷ 3 = 56 cm

Step 4: 56 + 9 + 12 = 77 cm

The length of rope C is 77 cm.



2)  

The total height of three water bottles, X, Y and Z is 186 cm.

X is 6 cm shorter than Y while Y is 18 cm shorter than Z.

Find the height of Z.

Express your answer in centimetres.

Answer: 76 cm


SOLUTION 1 :

Step 1: 6 + 6 + 18 = 30 cm

Step 2: 186 - 30 = 156 cm

Step 3: 156 ÷ 3 = 52 cm

Step 4: 52 + 6 + 18 = 76 cm

The height of Z is 76 cm.



3)  

The total length of three pencils, A, B and C is 33 cm.

Pencil A is 3 cm shorter than pencil B while pencil B is 9 cm shorter than pencil C.

Find the length of pencil C.

Express your answer in centimetres.

Answer: 18 cm


SOLUTION 1 :

Step 1: 3 + 3 + 9 = 15 cm

Step 2: 33 - 15 = 18 cm

Step 3: 18 ÷ 3 = 6 cm

Step 4: 6 + 3 + 9 = 18 cm

The length of pencil C is 18 cm.



4)  

The total length of three ropes, A, B and C is 252 cm.

Rope A is 3 cm shorter than rope B while rope B is 15 cm shorter than rope C.

Find the length of rope C.

Express your answer in centimetres.

Answer: 95 cm


SOLUTION 1 :


Step 1: 3 + 3 + 15 = 21 cm


Step 2: 252 - 21 = 231 cm


Step 3: 231 ÷ 3 = 77 cm


Step 4: 77 + 3 + 15 = 95 cm


The length of rope C is 95 cm.



5)  

The total length of three ropes, A, B and C is 249 cm.

Rope A is 6 cm shorter than rope B while rope B is 15 cm shorter than rope C.

Find the length of rope C.

Express your answer in centimetres.

Answer: 95 cm


SOLUTION 1 :

Step 1: 6 + 6 + 15 = 27 cm

Step 2: 249 - 27 = 222 cm

Step 3: 222 ÷ 3 = 74 cm

Step 4: 74 + 6 + 15 = 95 cm

The length of rope C is 95 cm.



6)  

The total height of three friends, Gen, Hank and Joel is 498 cm.

Gen is 3 cm shorter than Hank while Hank is 12 cm shorter than Joel.

Find Joel's height.

Express your answer in centimetres.

Answer: 175 cm


SOLUTION 1 :

Step 1: 3 + 3 + 12 = 18 cm

Step 2: 498 - 18 = 480 cm

Step 3: 480 ÷ 3 = 160 cm

Step 4: 160 + 3 + 12 = 175 cm

Joel's height is 175 cm.



7)  

The total length of three pencils, A, B and C is 27 cm.

Pencil A is 3 cm shorter than pencil B while pencil B is 9 cm shorter than pencil C.

Find the length of pencil C.

Express your answer in centimetres.

Answer: 16 cm


SOLUTION 1 :

Step 1: 3  + 3 + 9 = 15 cm

Step 2: 27 - 15 = 12 cm

Step 3: 12 ÷ 3 = 4 cm

Step 4: 4 + 3 + 9 = 16 cm

The length of pencil C is 16 cm.



8)  

The total height of three water bottles, X, Y and Z is 150 cm.

X is 3 cm shorter than Y while Y is 15 cm shorter than Z.

Find the height of Z.

Express your answer in centimetres.

Answer: 61 cm


SOLUTION 1 :

Step 1: 3 + 3 + 15 = 21 cm

Step 2: 150 - 21 = 129 cm

Step 3: 129 ÷ 3 = 43 cm

Step 4: 43 + 3 + 15 = 61 cm

The height of Z is 61 cm.



9)  

The total length of three boxes, A, B and C is 282 cm.

Box A is 6 cm shorter than box B while box B is 15 cm shorter than box C.

Find the length of box C.

Express your answer in centimetres.

Answer: 115 cm


SOLUTION 1 :

                                                      6

 

                                                      6     15

282

 

 

Step 1: 6 + 6 + 15 = 27 cm

Step 2: 309 - 27 = 282 cm

Step 3: 282 ÷ 3 = 94 cm

Step 4: 94 + 6 + 15 = 115 cm

The length of box C is 115 cm.



10)  

The total length of three ropes, A, B and C is 123 cm.

Rope A is 3 cm shorter than rope B while rope B is 15 cm shorter than rope C.

Find the length of rope C.

Express your answer in centimetres.

Answer: 52 cm


SOLUTION 1 :

Step 1: 3 + 3 + 15 = 21 cm

Step 2: 123 - 21 = 102 cm

Step 3: 102 ÷ 3 = 34 cm

Step 4: 34 + 3 + 15 = 52 cm

The length of rope C is 52 cm.