Class 7 and 8 Resources Center

03/10/2026-01

Written by

Abhishek Kumar

in

MATHEMATICS • FOUNDATION ASSESSMENT

Basic Mathematics

A diagnostic worksheet to understand your current mathematical foundation.

Student Fiza
Class VIII
Date ________________
Time ________________
Instructions
Solve the questions without using a calculator. Show your working wherever necessary. Attempt every question honestly. This assessment is designed to identify the areas where you need more practice.
LEVEL 1

Basic Addition

Start with simple numbers and gradually increase the difficulty.
  1. 3 + 4 =
  2. 8 + 5 =
  3. 14 + 7 =
  4. 23 + 16 =
  5. 35 + 24 =
  6. 47 + 31 =
  7. 126 + 43 =
  8. 215 + 132 =
  9. 348 + 151 =
  10. 426 + 287 =
LEVEL 2

Basic Subtraction

Check your understanding of subtraction and borrowing.
  1. 9 − 4 =
  2. 13 − 6 =
  3. 25 − 9 =
  4. 38 − 15 =
  5. 56 − 24 =
  6. 72 − 38 =
  7. 100 − 47 =
  8. 236 − 124 =
  9. 450 − 237 =
  10. 725 − 348 =
LEVEL 3

Multiplication

Begin with multiplication facts and move towards larger numbers.
  1. 2 × 4 =
  2. 5 × 3 =
  3. 6 × 7 =
  4. 8 × 5 =
  5. 9 × 6 =
  6. 12 × 4 =
  7. 15 × 5 =
  8. 23 × 4 =
  9. 34 × 6 =
  10. 42 × 8 =
LEVEL 4

Division

Test basic division and your understanding of equal grouping.
  1. 8 ÷ 2 =
  2. 15 ÷ 3 =
  3. 18 ÷ 6 =
  4. 24 ÷ 4 =
  5. 35 ÷ 5 =
  6. 48 ÷ 6 =
  7. 63 ÷ 7 =
  8. 72 ÷ 8 =
  9. 84 ÷ 7 =
  10. 96 ÷ 8 =
LEVEL 5

Intermediate Operations

These questions combine larger numbers and more advanced calculations.
  1. 238 + 475 =
  2. 567 + 289 =
  3. 900 − 475 =
  4. 1000 − 638 =
  5. 24 × 12 =
  6. 36 × 15 =
  7. 144 ÷ 12 =
  8. 225 ÷ 15 =
  9. 345 + 278 − 125 =
  10. 25 × 8 + 40 =
LEVEL 6

Mathematics in Real Life

Read each situation carefully and solve it.
  1. Riya has 25 pencils. She buys 18 more. How many pencils does she have altogether?
  2. A shopkeeper has 75 notebooks and sells 28. How many notebooks are left?
  3. There are 6 boxes with 12 pencils in each box. How many pencils are there altogether?
  4. 48 chocolates are shared equally among 6 children. How many chocolates does each child get?
  5. A school has 125 boys and 138 girls. How many students are there altogether?
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