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 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:_______________




2)  

The total height of three friends, Gen, Hank and Joel is 570 cm.

Gen is 6 cm shorter than Hank while Hank is 15 cm shorter than Joel.

Find Joel's height.

Express your answer in centimetres.

cm


Answer:_______________




3)  

The total length of three ropes, A, B and C is 120 cm.

Rope A is 6 cm shorter than rope B while rope B is 18 cm shorter than rope C.

Find the length of rope C.

Express your answer in centimetres.

cm


Answer:_______________




4)  

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:_______________




5)  

The total height of three friends, Gen, Hank and Joel is 420 cm.

Gen is 6 cm shorter than Hank while Hank is 18 cm shorter than Joel.

Find Joel's height.

Express your answer in centimetres.

cm


Answer:_______________




6)  

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:_______________




7)  

The total length of three pencils, A, B and C is 36 cm.

Pencil A is 6 cm shorter than pencil B while pencil B is 12 cm shorter than pencil C.

Find the length of pencil C.

Express your answer in centimetres.

cm


Answer:_______________




8)  

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:_______________




9)  

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:_______________




10)  

The total length of three pencils, A, B and C is 30 cm.

Pencil A is 3 cm shorter than pencil B while pencil B is 12 cm shorter than pencil C.

Find the length of pencil C.

Express your answer in centimetres.

cm


Answer:_______________




 

1)  

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.



2)  

The total height of three friends, Gen, Hank and Joel is 570 cm.

Gen is 6 cm shorter than Hank while Hank is 15 cm shorter than Joel.

Find Joel's height.

Express your answer in centimetres.

Answer: 202 cm


SOLUTION 1 :


Step 1: 6 + 6 + 15 = 27 cm


Step 2: 570 - 27 = 543 cm


Step 3: 543 ÷ 3 = 181 cm


Step 4: 181 + 6 + 15 = 202 cm


Joel's height is 202 cm.



3)  

The total length of three ropes, A, B and C is 120 cm.

Rope A is 6 cm shorter than rope B while rope B is 18 cm shorter than rope C.

Find the length of rope C.

Express your answer in centimetres.

Answer: 64 cm


SOLUTION 1 :

                                                      6

 

                                                      6     18

120

 

 

Step 1: 6 + 6 + 18 = 30 cm

Step 2: 150 - 30 = 120 cm

Step 3: 120 ÷ 3 = 40 cm

Step 4: 40 + 6 + 18 = 64 cm

The length of rope C is 64 cm.



4)  

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.



5)  

The total height of three friends, Gen, Hank and Joel is 420 cm.

Gen is 6 cm shorter than Hank while Hank is 18 cm shorter than Joel.

Find Joel's height.

Express your answer in centimetres.

Answer: 154 cm


SOLUTION 1 :


Step 1: 6 + 6 + 18 = 30 cm


Step 2: 420 - 30 = 390 cm


Step 3: 390 ÷ 3 = 130 cm


Step 4: 130 + 6 + 18 = 154 cm


Joel's height is 154 cm.



6)  

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.



7)  

The total length of three pencils, A, B and C is 36 cm.

Pencil A is 6 cm shorter than pencil B while pencil B is 12 cm shorter than pencil C.

Find the length of pencil C.

Express your answer in centimetres.

Answer: 22 cm


SOLUTION 1 :

Step 1: 6 + 6 + 12 = 24 cm

Step 2: 36 - 24 = 12 cm

Step 3: 12 ÷ 3 = 4 cm

Step 4: 4 + 6 + 12 = 22 cm

The length of pencil C is 22 cm.



8)  

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.



9)  

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.



10)  

The total length of three pencils, A, B and C is 30 cm.

Pencil A is 3 cm shorter than pencil B while pencil B is 12 cm shorter than pencil C.

Find the length of pencil C.

Express your answer in centimetres.

Answer: 19 cm


SOLUTION 1 :

Step 1: 3 + 3 + 12 = 18 cm

Step 2: 30 - 18 = 12 cm

Step 3: 12 ÷ 3 = 4 cm

Step 4: 4 + 3 + 12 = 19 cm

The length of pencil C is 19 cm.