Question 1 : Which number lies opposite the face 4, if the four different positions of a dice are as shown in the figures given below.<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NTSE/5fbdd987a928e05653fcff91" />
Question 3 : In each of the following questions, figures (i) and (ii) are two dice which are similar to each other in all respects. Figure (iii) is the view of both the dice when joined together. Answer the questions that follow based on the above information.<br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcba9416d7e6154e46af90.jpg" /><br />What is the sum values of the faces that are joined together, if the number on the face of the dice to the left in figure (iii) which is touching the other dice is 2?
Question 4 :
A three centimetre cube has been painted red on all its sides. It is cut into one centimetre cubes. How many cubes will be there with only one side painted red ?
Question 5 :
27 identical cubes are arranged to form a large cube. How many such cubes are required to completely cover the large cube, so that the figure obtained also must be a cube?
Question 6 : Count the number of cubes in each of the following figures:<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NTSE/5fbdd991ea71a1051723fcb6" />
Question 7 :
A 5 × 5 × 5 cube is formed by using 1 × 1 × 1 cubes. If we add another layer of such 1 × 1 × 1 cube in the 5 × 5 × 5 cube. What will be the number of 1 × 1 × 1 cubes in the newly formed cube?
Question 8 :
If two, three and four cuts are made parallel to diff erent faces of a cube, then what is the number of identical pieces obtained?
Question 9 :
If 10 cuts are made on a cube, what is the maximum number of identical pieces obtained?
Question 10 :
How many small cubes are there with no red paint at all?
Question 11 : Each of the following questions contains three different views of a dice. Study the given figures and find out the incorrect statement from the given choices. <br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcbb2c16d7e6154e46af95.jpg" />
Question 12 : Four dice are shown, The first three display alphabets in some sequence. Find that sequential rule and fill the blank spaces in the fourth dice from the given four alternatives.<br>Sequence of letters : <br>A B C D E F F G H I J K L M <br>N O P Q R S T U V W X Y Z<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NTSE/5fbdd983a928e05653fcff8b" />
Question 13 : In each of the following questions, figures (i) and (ii) are two dice which are similar to each other in all respects. Figure (iii) is the view of both the dice when joined together. Answer the questions that follow based on the above information.<br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcbac116d7e6154e46af91.jpg" /><br />What are the letters on the top and bottom faces of the dice at the bottom in figure (iii)?
Question 15 : In each of these questions, three different views of a dice are given. Choose the answer which represents the correct view of the dice.<br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcbadb16d7e6154e46af92.jpg" />
Question 16 :
If dices II, IV and VI have odd number of dots at their top faces, what would be the total number of dots ?
Question 17 : Count the number of cubes in the given figure.<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NTSE/5fbdd980a928e05653fcff87" />
Question 18 :
If the dices I, III and V have even number of dots at their bottom faces, what would be the total number of dots?
Question 19 : In each of the following questions, three different views of a cube are given. Based on these diagrams answer the following questions.<br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcba4a16d7e6154e46af8e.jpg" /><br />Which of the following are opposite r and t respectively
Question 20 :
What is the minimum number of cuts required to cut a cube into 216 identical pieces?
Question 22 : Count the number of cubes in each of the following figures:<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NTSE/5fbdd990a928e05653fcff9f" />
Question 24 :
How many smaller cubes have at least two faces with white paint?
Question 25 : In each of these questions, three different views of a dice are given. Choose the answer which represents the correct view of the dice.<br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcbb0016d7e6154e46af93.jpg" />
Question 26 :
What are the least and the largest numbers of small cubes that have exactly one face painted?
Question 27 : Each of the following questions contains three views of a dice. Study them and find out the correct statement from the given choices.<br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcbb8916d7e6154e46af98.jpg" />
Question 28 : Each of the following questions contain three views of the same cube. Find out from the given choices, the choice which represents the correct view of the same cube.<br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcb97816d7e6154e46af88.jpg" />
Question 31 :
How many smaller pieces have exactly two faces painted in black?
Question 32 : A dice is thrown three times and its three different positions are given below. Find the number on the face opposite the face showing 3.<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NTSE/5fbdd97ba928e05653fcff7f" />
Question 34 : In each of the following questions, three different views of a cube are given. Based on these diagrams answer the following questions.<br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcb8c416d7e6154e46af82.jpg" /><br />Which colour is at the bottom of the second figure?
Question 35 : In each of the following questions, three different views of a cube are given. Based on these diagrams answer the following questions.<br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcb8a316d7e6154e46af7d.jpg" /><br />Which of the following statements is true?
Question 36 :
If six cuts are made on a cube, what is the maximum number of identical pieces obtained?
Question 37 :
How many small cubes are there with one face painted red?
Question 38 : Select from the alternative, the box that can be formed by folding the sheet shown in figure (X) :<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NTSE/5fbdd982a928e05653fcff89" />
Question 39 : Each of the following questions contains three views of a dice. Study them and find out the correct statement from the given choices.<br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcbbb616d7e6154e46af9a.jpg" />
Question 41 : Select from the alternative, the box that can be formed by folding the sheet shown in figure (X) :<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NTSE/5fbdd985a928e05653fcff8e" />
Question 42 : Select from the alternative, the box that can be formed by folding the sheet shown in figure (X)<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NTSE/5fbdd984a928e05653fcff8d" />
Question 44 : In each of the following questions, three different views of a cube are given. Based on these diagrams answer the following questions.<br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcb91716d7e6154e46af85.jpg" /><br />What is the sum of the dots on the two faces which are adjacent to both the faces with two dots and five dots, if the number of dots on the six faces is 1, 2, 3, 4, 5 and 6 respectively?
Question 45 : What should be the number opposite 3 ?<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NTSE/5fbdd989a928e05653fcff94" />
Question 46 :
How many cubes are there which have no face painted –
Question 47 :
How many small cubes are there showing only green or only blue on their faces?
Question 48 :
How many of the smaller cubes have exactly two faces painted?
Question 49 : In each of the following questions, three different views of a cube are given. Based on these diagrams answer the following questions.<br /><img style='object-fit:contain' src="https://s3.ap-south-1.amazonaws.com/me-p/5fbcb8e216d7e6154e46af84.jpg" /><br />Which of the following are adjacent to $\Delta$?
