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Class 10 Mathematics Assignments

We have provided below free printable Class 10 Mathematics Assignments for Download in PDF. The Assignments have been designed based on the latest NCERT Book for Class 10 Mathematics . These Assignments for Grade 10 Mathematics cover all important topics which can come in your standard 10 tests and examinations. Free printable Assignments for CBSE Class 10 Mathematics , school and class assignments, and practice test papers have been designed by our highly experienced class 10 faculty. You can free download CBSE NCERT printable Assignments for Mathematics Class 10 with solutions and answers. All Assignments and test sheets have been prepared by expert teachers as per the latest Syllabus in Mathematics Class 10. Students can click on the links below and download all Pdf Assignments for Mathematics class 10 for free. All latest Kendriya Vidyalaya Class 10 Mathematics Assignments with Answers and test papers are given below.

Mathematics Class 10 Assignments Pdf Download

We have provided below the biggest collection of free CBSE NCERT KVS Assignments for Class 10 Mathematics . Students and teachers can download and save all free Mathematics assignments in Pdf for grade 10th. Our expert faculty have covered Class 10 important questions and answers for Mathematics as per the latest syllabus for the current academic year. All test papers and question banks for Class 10 Mathematics and CBSE Assignments for Mathematics Class 10 will be really helpful for standard 10th students to prepare for the class tests and school examinations. Class 10th students can easily free download in Pdf all printable practice worksheets given below.

Topicwise Assignments for Class 10 Mathematics Download in Pdf

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Advantages of Class 10 Mathematics Assignments

• As we have the best and largest collection of Mathematics assignments for Grade 10, you will be able to easily get full list of solved important questions which can come in your examinations.
• Students will be able to go through all important and critical topics given in your CBSE Mathematics textbooks for Class 10 .
• All Mathematics assignments for Class 10 have been designed with answers. Students should solve them yourself and then compare with the solutions provided by us.
• Class 10 Students studying in per CBSE, NCERT and KVS schools will be able to free download all Mathematics chapter wise worksheets and assignments for free in Pdf
• Class 10 Mathematics question bank will help to improve subject understanding which will help to get better rank in exams

Frequently Asked Questions by Class 10 Mathematics students

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We provide here Standard 10 Mathematics chapter-wise assignments which can be easily downloaded in Pdf format for free.

You can click on the links above and get assignments for Mathematics in Grade 10, all topic-wise question banks with solutions have been provided here. You can click on the links to download in Pdf.

We have provided here topic-wise Mathematics Grade 10 question banks, revision notes and questions for all difficult topics, and other study material.

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NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers

Get here the NCERT Solutions for Class 10 Maths Chapter 1 Real Numbers all exercises in Hindi and English medium revised and modified for session 2024-25. The solution of chapter 1 class 10th mathematics is updated according to NCERT textbooks published for 2024-25 CBSE exams.

NCERT Solutions for Class 10 Maths Chapter 1

Learning Class 10 Maths Chapter 1, Real Numbers, effectively requires a systematic approach and a clear understanding of the concepts involved. Here are some steps and strategies to help you learn this chapter.

Class 10 Maths Chapter 1 Solutions Class 10 Maths Chapter 1 Main Topics Class 10 Maths Chapter 1 Practice Tests 10th Maths Chapter 1 Question wise Solutions Class 10 Maths Chapter 1 MCQ Class 10 Maths Chapter 1 Assignments

Euclid’s Division Lemma states that for any two positive integers a and b, there exist unique integers q and r such that: a = bq + r, where 0 ≤ r < b.

The Fundamental Theorem of Arithmetic states that every positive integer greater than 1 can be expressed as a product of prime numbers in a unique way, up to the order of factors.

Methods for proving the irrationality of certain numbers, such as the square root of a prime number, are discussed. Understanding decimal expansions of real numbers. Terminating decimals and recurring decimals. Rationalization is the process of converting an irrational number into a rational one by multiplying or dividing by a suitable number.

According to rationalised syllabus for academic session 2024-25, only two exercises are in chapter 1. The exercise 1.1 deleted and exercise 1.2 become the exercise 1.1. Similarly exercise 1.3 become exercise 1.2 and exercises 1.4 is also deleted. The course structure of class 10 mathematics chapter 1 is given below: Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5.

>> Total Number of Exercises: 2 >> Total Marks in Board Exam: 6 >> Number of Periods needed: 15

Class 10 Maths Chapter 1, titled Real Numbers, is an important chapter that lays the foundation for understanding various mathematical concepts. The main points covered in this chapter include introduction to Real Numbers. Real numbers are a set of numbers that includes all rational and irrational numbers. Real numbers can be represented on the number line.

Utilize online resources like video tutorials, educational websites like Tiwari Academy, and interactive quizzes to reinforce your understanding of the chapter. As you progress, practice solving sample papers or past year question papers. This will help you become familiar with the exam pattern and time management. Periodically test your knowledge by attempting self-assessment quizzes or problems from the chapter. This will help you gauge your progress.

In class 10 Maths Chapter we will learn about understanding square numbers and their properties. Finding the square root of a number using prime factorization. Real numbers are used in various mathematical applications, such as finding the distance between two points in coordinate geometry.

Class 10 Maths Chapter 1 Real Numbers

The chapter provides numerous examples and practice problems to reinforce the concepts discussed. These are the main points covered in Class 10 Maths Chapter 1, Real Numbers. It serves as the building block for further mathematical concepts and is essential for a solid foundation in mathematics. Get here topic wise NCERT Solutions for 10th Mathematics chapter 1 all exercises in Hindi and English medium. Students can take help of videos for solving questions of each exercise.

Class 10 Maths Chapter 1 Solutions for CBSE Board

• Class 10 Maths Chapter 1 Exercise 1.1
• Class 10 Maths Chapter 1 Exercise 1.2

Class 10 Maths Chapter 1 Solutions for State Boards

• Class 10 Maths Chapter 1 Exercise 1.3
• Class 10 Maths Chapter 1 Exercise 1.4
• Class 10 Maths Chapter 1 NCERT Book
• Class 10 Mathematics NCERT Solutions
• Class 10 all Subjects NCERT Solutions

10th Maths Chapter 1 Exercise 1.1 Solutions

Class 10 Maths Chapter 1 Exercise 1.1 Question 1 Express each number as a product of its prime factors: (i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429 The step by step solutions of each part is given here with practice questions>. You can discuss with us Part (i) , Part (ii) , Part (iii) , Part (iv) , and Part (v) to learn more about the solution.

Class 10 Maths Chapter 1 Exercise 1.1 Question 2 Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54. Get the solution of question 2 and discuss Part (i) , Part (ii) and Part (iii) with us along with assignments and other doubts for more clarification.

Class 10 Maths Chapter 1 Exercise 1.1 Question 3 Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25. Discuss with part one , two and three in detail and get worksheets to understand the solution in simple way.

Class 10 Maths Chapter 1 Exercise 1.1 Question 4 Given that HCF (306, 657) = 9, find LCM (306, 657). The solution of this question is very simple and usually asked in MCQ type questions. For more revision , please write to us .

Class 10 Maths Chapter 1 Exercise 1.1 Question 5 Check whether 6ⁿ can end with the digit 0 for any natural number n. The solution of question 5 is similar to the example given in textbook. Discuss with us and Practice here more questions based on question 5.

Class 10 Maths Chapter 1 Exercise 1.1 Question 6 Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers. Extra questions for practice based on the solution of question 6 are given here to download. Put your view to discuss with us.

Class 10 Maths Chapter 1 Exercise 1.1 Question 7 There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? Question number 7 is important for exams. Get here the solution and practice assignments with answers for revision.

10th Maths Chapter 1 Exercise 1.2 Solutions

Class 10 Maths Chapter 1 Exercise 1.2 Question 1 Prove that √5 is irrational. To understand the solution of question 1, student need to practice assignments and discuss the explanation in depth.

Class 10 Maths Chapter 1 Exercise 1.2 Question 2 Prove that 3 + 2√5 is irrational. Get here the assignments and practice questions based on the solution of question 2. If still there is any doubt, please visit to discussion forum.

Class 10 Maths Chapter 1 Exercise 1.2 Question 3 Prove that the following are irrationals: (i) 1/√2 (ii) 7√5 (iii) 6 + √2 The solution of question 3 is similar to question 1 and 2. Get more practice to learn the concepts in better way. Discuss in detail here.

Use number lines and diagrams to visualize concepts like decimal expansions and the placement of real numbers on the number line. Visual aids can help make abstract concepts more concrete. Don’t hesitate to ask your teacher or a classmate for help if you encounter difficulties. Sometimes, discussing problems with others can provide valuable insights. Maintain a study schedule and allocate specific time slots for learning and practicing this chapter. Consistency is key.

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The complete chapter of 10th Maths chapter 1 is divided in four main parts. The explanation of each part with video explanation is given below. Start by reading the chapter thoroughly and grasp the basic definitions and concepts. Ensure that you understand the definitions of real numbers, Euclid’s Division Lemma, and the Fundamental Theorem of Arithmetic. Take concise notes while reading the chapter. Write down key formulas, definitions, and important points. These notes will be helpful for quick revision.

Learn here how to find the prime factorization of numbers. This skill is essential for various aspects of number theory. Practice finding the prime factorization of different numbers. Practice working with terminating and recurring decimals. Solve problems that involve decimal expansions of real numbers. Familiarize yourself with methods for rationalizing irrational numbers, especially square roots. Practice these techniques with different examples. Remember that learning mathematics often requires patience and persistence. Take your time to understand each concept thoroughly before moving on to the next. By following these steps and strategies, you can effectively learn Class 10 Maths Chapter 1 Real Numbers.

Class 10 Maths Chapter 1 Main Topics Mathematics is best learned through practice. Solve a variety of problems related to real numbers, including examples from your textbook and additional practice questions. Pay attention to different types of questions, such as finding HCF, LCM, prime factorization, and working with decimal expansions.

10th Maths Chapter 1 Practice Test Papers

Euclid’s Division Lemma is a fundamental concept in this chapter. Make sure you understand how it works and can apply it to solve problems related to divisibility and remainders. There are four exercises in chapter 1 covering all the four topics on Real Numbers. Students can practice well using the 6 question papers given below. It will help to prepare the chapter for CBSE exams also.

Class 10 Maths Chapter 1 Practice Tests with Answers

• Class 10 Maths Chapter 1 Practice Test 1
• Class 10 Maths Chapter 1 Practice Test 2
• Class 10 Maths Chapter 1 Practice Test 3
• Class 10 Maths Chapter 1 Practice Test 4
• Class 10 Maths Chapter 1 Practice Test 5
• Class 10 Maths Chapter 1 Practice Test 6
• Download More Assignments with Solution

The word algorithm come from the name of the name of the 9th century Persian mathematician al-Khwarizmi. The word ‘algebra’ is derived from a book, he wrote, called Hisab al-jabr w’al-muqabala.

An equivalent version of Fundamental theorem of Arithmetic was probably first recorded as Proposition 14 of Book IX in Euclid’s Elements, before it came to be known as the Fundamental Theorem of Arithmetic.

However, the first correct proof was given by Carl Friedrich Gauss in his al-Khwarizmi. Carl Friedrich Gauss is often referred to as the ‘Prince of Mathematicians’ and is considered one of the three greatest mathematicians of all time, along with Archimedes and Newton. He has made fundamental contributions to both mathematics and science. Learn here how to make class 10 Maths chapter 1 easy to learn.

How many exercises are there in class 10 Maths chapter 1 Real numbers?

Now there are only 2 exercises in class 10 chapter 1 (Real numbers): In first exercise (Ex 1.1), there are 5 questions. In second exercise (Ex 1.2), there are 7 questions. So, there are in all 18 questions in class 10 chapter 1 (Real numbers). There are in all 11 examples in class 10 chapter 1 (Real numbers).

• Examples 1,2,3,4 are based on Ex 1.1.
• Examples 5,6,7,8 are based on Ex 1.2.

Are there any Theorems or Algorithm in 10th Maths chapter 1?

Yes, there are 7 Theorems and 1 Algorithm in class 10 chapter 1 (Real numbers). First exercise (Ex 1.1) is based on Theorem 1.1 (Euclid’s Division Lemma) and Euclid’s Division algorithm. Theorem 1.2 (Fundamental Theorem of Arithmetic) is used in second exercise (Ex 1.2).

What are the Important questions from Maths class 10 chapter 1 Real numbers?

Important questions from Maths class 10 chapter 1:

• In first exercise (Ex 1.1), all questions are important.
• In second exercise (Ex 1.2), Q2, 4, 5, 7 are important.

Which topics students should recall before starting class 10 Maths chapter 1?

Students should recall some topics of class 9 chapter 1 (Number systems). Topics :

• Types of numbers (Natural number, Whole number, Integers, Rational numbers, Irrational numbers and Real numbers).
• Decimal expansion of Rational numbers (Terminating and Non-terminating recurring) and Irrational numbers (Non-terminating non-recurring).
• HCF (Highest Common Factor) and LCM (Lowest/Least Common Multiple).
• And some other topics like Meaning of Dividend, Divisor, Quotient and Remainder, Prime numbers, Composite numbers, Factors.

Chapter 2: Polynomials »

Shikhar Tiwari

Having graduated from Electronics and Communication Engineering from AKTU – Noida, India, in 2021, working for Tiwari Academy as a content writer and reviewer. My main focus is to provide an easy to understand methods in all subjects specially mathematics and making study material with step by step explanation.

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Class 10 Maths Index

Class 10 maths index page is given here with all the links to the respective topics. This index page of the class 10 maths book will help students to easily navigate all the lessons that are included in their CBSE maths syllabus as per the NCERT curriculum.

These lessons are easy to understand and cover a ll the important concepts. Students can easily understand these topics and can prepare for th eir class 10 maths exams 2022-23 more effectively. Click the links below and get complete information about the respective topics of class 10 maths syllabus along with important notes, questions, MCQs, video lessons and many more. 

Class 10 Maths Chapters

Chapter 1: real numbers.

• 1.1 Introduction to Real Numbers
• 1.2 Euclid’s Division Lemma
• 1.3 The Fundamental Theorem of Arithmetic
• 1.4 Revisiting Irrational Numbers
• 1.5 Revisiting Rational Numbers and Their Decimal Expansions
• 1.6 Summary

Chapter 2: Polynomials

• 2.1 Introduction Polynomials
• 2.2 Geometrical Meaning of the Zeroes of a Polynomial
• 2.3 Relationship between Zeroes and Coefficients of a Polynomial
• 2.4 Division Algorithm for Polynomials
• 2.5 Summary

Chapter 3: Pair Of Linear Equations In Two Variables

• 3.1 Introduction to Pair Of Linear Equations In Two Variables
• 3.2 Pair of Linear Equations in Two Variables
• 3.3 Graphical Method of Solution of a Pair of Linear Equations
• 3.4 Algebraic Methods of Solving a Pair of Linear Equations
• 3.5 Equations Reducible to a Pair of Linear Equations in Two Variables
• 3.6 Summary

Chapter 4: Quadratic Equations

• 4.1 Introduction to Quadratic Equations
• 4.2 Quadratic Equations
• 4.3 Solution of a Quadratic Equation by Factorisation
• 4.4 Solution of a Quadratic Equation by Completing the Square
• 4.5 Nature of Roots
• 4.6 Summary

Chapter 5: Arithmetic Progressions

• 5.1 Introduction Arithmetic Progressions
• 5.2 nth Term of an AP
• 5.3 Sum of First n Terms of an AP
• 5.4 Summary

Chapter 6: Triangles

• 6.1 Triangles Introduction
• 6.2 Similar Figures
• 6.3 Similarity of Triangles
• 6.4 Criteria for Similarity of Triangles
• 6.5 Areas of Similar Triangles
• 6.6 Pythagoras Theorem
• 6.7 Summary

Chapter 7: Coordinate Geometry

• 7.1 Coordinate Geometry Introduction
• 7.2 Distance Formula
• 7.3 Section Formula
• 7.4 Area of a Triangle
• 7.5 Summary

Chapter 8: Introduction To Trigonometry

• 8.1 Introduction To Trigonometry
• 8.2 Trigonometric Ratios
• 8.3 Trigonometric Ratios of Some Specific Angles
• 8.4 Trigonometric Ratios of Complementary Angles
• 8.5 Trigonometric Identities
• 8.6 Summary

Chapter 9: Some Applications Of Trigonometry

• 9.1 Introduction to Some Applications Of Trigonometry
• 9.2 Heights and Distances
• 9.3 Summary

Chapter 10: Circles

• 10.1 Circles Introduction
• 10.2 Tangent to a Circle
• 10.3 Number of Tangents from a Point on a Circle
• 10.4 Summary

Chapter 11: Constructions

• 11.1 Introduction to Constructions
• 11.2 Division of a Line Segment
• 11.3 Construction of Tangents to a Circle
• 11.4 Summary

Chapter 12: Areas Related To Circles

• 12.1 Areas Related To Circles Introduction
• 12.2 Perimeter and Area of a Circle-A Review
• 12.3 Areas of Sector and Segment of a Circle
• 12.4 Areas of Combination of Plane Figures
• 12.5 Summary

Chapter 13: Surface Areas And Volumes

• 13.1 Surface Areas And Volumes Introduction
• 13.2 Surface Area of a Combination of Solids
• 13.3 Volume of a Combination of Solids
• 13.4 Conversion of Solid from One Shape to Another
• 13.5 Frustum of a Cone
• 13.6 Summary

Chapter 14: Statistics

• 14.1 Statistics Introduction
• 14.2 Mean of Grouped Data
• 14.3 Mode of Grouped Data
• 14.4 Median of Grouped Data
• 14.5 Graphical Representation of Cumulative Frequency Distribution
• 14.6 Summary

Chapter 15: Probability

• 15.1 Probability Introduction
• 15.2 Probability-A Theoretical Approach
• 15.3 Summary

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• Assignments Class 10 Mathematics

This page contains assignments from various chapters

Real Numbers Chapter 1

Assignment 1 ( Solution )

Quadratic Equations

Assignment 1 , Assignment 2 , Assignment 3

Assignment 4 , Assignment 5 , Assignment 6

Assignment 7 , Assignment 8 , Assignment 9

Assignment 10 , Assignment 11 , Assignment 12

Assignment 13 , Assignment 14 , Assignment 15

Assignment 16 ( Solution )

Arithmetic Progression

Assignment 4 , Assignment 5 ( Solution )

Some Applications of Trigonometry

Assignment 1 , Assignment 2

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Assignment For Class 10 Mathematics

Assignment for Class 10 Mathematics have been developed for Standard 10 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 10 Mathematics from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 10 Mathematics. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Mathematics book and get good marks in class 10 exams.

Assignments with Answers for Class 10 Mathematics

Case study questions for class 10 mathematics, assignments for class 10 mathematics as per cbse and ncert pattern, more assignments for class 10 mathematics, assignments for class 10 mathematics as per cbse ncert pattern.

All students studying in Grade 10 Mathematics should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Mathematics exam for standard 10. We have made sure that all topics given in your textbook for Mathematics which is suggested in Class 10 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.

Some advantages of Free Assignments for Class 10 Mathematics

• Solving Assignments for Mathematics Class 10 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
• By solving one assignments given in your class by Mathematics teacher for class 10 will help you to keep in touch with the topic thus reducing dependence on last minute studies
• You will be able to understand the type of questions which are expected in your Mathematics class test
• You will be able to revise all topics given in the ebook for Class 10 Mathematics as all questions have been provided in the question banks
• NCERT Class 10 Mathematics Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
• Parents will be able to take print out of the assignments and give to their child easily.

All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 10 Mathematics teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 10 Mathematics Assignments PDF.

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You can get free PDF downloadable assignments for Grade 10 Mathematics from our website which has been developed by teachers after doing extensive research in each topic.

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Math Assignment / Class X / Chapter 8 /  Trigonometry

Extra questions of chapter 8 class 10 Trigonometric Functions with answer and  hints to the difficult questions. Important and useful math assignment for the students of class 10

For better results

• Students should learn all the  basic points of Trigonometry  
• Student should revise NCERT book thoroughly with examples.
• Now revise this assignment. This assignment integrate the knowledge of the students.

ASSIGNMENT FOR 10 STANDARD TRIGONOMETRY

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• Lesson plan 10 15
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Evaluating the effectiveness of spatial training for introductory geology students

• Klyce, Annie
• Ryker, Katherine

Spatial skills, which represent the ability to visualize and imagine manipulating objects in one's mind, are necessary for success in the science, technology, engineering, and mathematics (STEM) fields and are particularly relied upon by geoscientists. Although scholars recognize the importance of these skills, explicit training is inconsistently offered throughout courses. Furthermore, the relationship between spatial training and students' perspectives on STEM fields is underexplored. To address this, we developed a case study that included over 700 students enrolled in introductory geology classes over three semesters. These students were randomly divided into control and experimental groups; the experimental group completed 10 spatial training assignments, and the control group completed the course as usual. We relied on situated expectancy-value theory to interpret changes in students' perceptions of both the course and science overall, and asked the following research questions: (1) Do students who complete the spatial training assignments (i.e., the experimental group) have a statistically significant improvement in their final course grade, self-efficacy, and/or value when compared to the control group? (2) If so, what are the effect sizes of these changes? (3) Is there a minimum number of trainings that need to be completed to achieve this effect? (4) Is there a maximum number of spatial training assignments where we stop seeing improvement (ceiling effect)? We surveyed all students enrolled using 38-question pre- and post-assessments of their self-efficacy, defined as a belief in their ability to succeed, and value. We found that between the control and experimental groups, there were significant differences in students' pre- to post-changes in perception of science self-efficacy, class self-efficacy, and class value. We found non-significant between-group differences in final grade and science value. We interpret this to mean that using weekly spatial training assignments could increase students' perceived self-efficacy in their introductory geology course as well as in science more broadly, potentially having ripple effects that support students' long-term engagement with the sciences. Findings suggest that practitioners should include explicit spatial training in their courses to improve students' perceptions of the course and science overall. Building on this work may include describing to students the purpose of spatial training (which was deliberately avoided in this study) and outlining the research that supports the relationship between spatial skills and success in STEM fields. Future directions may also include longitudinal tracking of spatial and related skill development throughout students' college careers.