Express Those Sums


This page has lots of fun expression sums. If you find an expression other than the ones I have, please send it to me and I will add it to the solutions. Rules: Unless otherwise stated, with all sums you can use brackets, parentheses, sqrt and +, -, x, / , . ,^, !. E.g. (8!x8)/(8!x8)=1
Don't look at the answers too quickly, it's more rewarding if you try it yourself first.

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Use two digits to make the smallest possible positive integer. Answer

1
Use six identical digits to make 100. (Can be done with every digit but 0) Answer

2
Express with five 3s the number 37. Answer

3
Express with four 9s the number 20.
Answer

4
Express with four 4s the number 55.
Answer

5
Express with five 4s the number 55.
Answer

5
Express with five 4s the number 73.
Answer

5
Express with five 1s the number 100.
Answer

6
Express with five 5s the number 100.   Answer

7
Combine only plus signs with five 2s to get 28.
Answer

8
1 2 3 4 5 6 7 8 9 =100. Insert just three plus and/or minus signs to make correct.   Answer

9
Express with five 3s the number 31.
Answer

10
9 8 7 6 5 4 3 2 1 = 99. Insert only plus signs to make correct. Answer

12
Without using + or - signs express five 8s to get 89 Answer

13
A half is a third of it. What is it?

 

Answer
14
Express 20 and 48 using each of the following digits three times (1,3,5,7) Answer

15
Express with two 8s and two 3s the number 24.
Answer

16
Use all digits (0123456789) to make 100. Answer

17
Use only minus signs with all digits once (0 1 2 3 4 5 6 7 8 9 ) to get 100.
Answer

18
Use all the digits once (1 2 3 4 5 6 7 8 9 ) to get 0.
Answer

19
1 2 3 4 5 6 7 8 9 = 100. Insert 7 signs to make correct.
Answer

19
Use four 4s to get 140
Answer

19
Use four 4s to get 31.
Answer

19
Without changing order and without using + or -, insert multiplication or dividing signs ( * / ) only to solve 1 2 3 4 5 6 7 8 9 = 1 Answer

19
Use five 3s to get 45 (without using + or -) Answer

19
Express three correct equations using three of the four operators (+,x,-/), and all of the digits (1234567890).
Answer

19
Using all {1,2,3,4,5,6,7,8,9}, complete the following two sets of equations.
[ ] x [ ] = [ ][ ]
[ ][ ] x [ ]=[ ][ ]

Answer

19
Find 2 rational numbers, a and b, a is not equal to b, such that a + b = a x b. What is the value of a & b?
Answer

19
If half of a number squared is equal to two times the number, what is the number?
Answer

19
A nine-digit number uses all the digits from 1-9. The first digit is divisible by 1. The first two digits combined (i.e. if the number is 123456789 then 12) are divisible by two. The first three digits combined (i.e. if the number is 123456789 then 123) are divisible by 3. This pattern continues until the full number is divisible by 9. Answer

19
Make an expression using 7, 8 or 9 eights, which equals 1000.
Use only (+, -, *, /).  
Answer

19
Using the numbers 4, 3, 2 & 1 *in that order*, find the first number that can't be made that way, and the last number that can. (using +, -, *, /). Answer

19
Expand the series a little further: (t-a)(t-b)...(t-t)...(t-z) = ?
Answer

19
Make an expression using only four digits, all 7s, which equals 126.
Use only (+, -, *, /).  
Answer

19
Make an expression using only four digits, 3,3,7,7, which equals 24.
Use only (+, -, *, /).  
Answer

19
Make an expression using only four digits, 1,3,4,6, which equals 24.
Use only (+, -, *, /).  
Answer

19
Make an expression using only four digits, 4,7,7,9, which equals 24.
Use only (+, -, *, /, .).  
Answer

19
Make an expression using only four digits, 2,3,4,5, which equals 28.
Use only (+, -, *, /, .).  
Answer

19
What is significant about the equation: ([6 * 7] + 5 + 9)/8 + 7 + 8 + 11 - 9 - 12 = 12? Answer

19
Make this correct 8 8 8 8 8 8 8 8 = 1 0 0 0
Use only (+, -, *, /).  
Answer

19
Pick six numbers of the set below, and the sum of these six numbers must be 21.
9 9 9, 5 5 5, 3 3 3, 1 1 1
Answer

19
Make 383 out of 1, 2, 25, 50, 75, 100 using *,+,-,/ .
Note : each number have to be used exactly one time.
Answer

19
Combine the number 1 to 9 in such a way to obtain three numbers A, B, C, that the first number multiplied with the second number is equal to the third number. Each digit have to be used exactly one time. Answer

19
2 x 10 = 2 x 11 is a true statement. Can you explain it? Answer

19

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