Download Using your calculator well…

Using your calculator well…..
1. Find the smallest number greater than 5000 which
a. is a multiple of 37
b. is a multiple of 83
c. is a multiple of 281
d. leaves a remainder of 11 when divided by 23
e. leaves a remainder of 19 when divided by 57.
f. is a square number.
g. is a perfect cube
h. is the sum of 3 consecutive numbers.
i. the product of 3 consecutive numbers.
2. Find the largest number less than 10000 which
a. is a multiple of 53
b. is a multiple of 193
c. leaves a remainder of 37 when divided by 91
d. leaves a remainder of 53 when divided by 129
e. leaves a remainder of 19 when divided by 57.
f. is a square number.
g. is a perfect cube
h. is the sum of 3 consecutive numbers.
i. the product of 3 consecutive numbers.
3. Find all the numbers between 2000 and 2500 which
a. are a multiple of 79
b. are a multiple of 131
c. leave a remainder of 73 when divided by 193
d. leave a remainder of 31 when divided by 83
e. are square numbers.
g. are perfect cubes.
4. The product of two consecutive odd numbers is 1A5B3. Find the numbers A and B,
and the two odd numbers.
5. The product of three consecutive odd numbers is 42ABC5. Find the numbers A, B
and C, and the three odd numbers.
Answers:
1. 5032, 5063, 5058, 5002, 5035, 5041, 5832, 5001, 5814.
2. 9964, 9843, 9956, 9986, 9801, 9261, 9999, 9240.
3.
a. 2054, 2133, 2212, 2291, 2370, 2449
b. 2096, 2227, 2358, 2489.
c. 2003, 2196, 2389.
d. 2023, 2106, 2189, 2272, 2355, 2438.
e. 2025, 2116, 2209, 2304, 2401.
f. 2197
4. A = 2 and B = 4, 111 x 113 = 12543
Hint Numbers must be 1*1 x 1*3 or 1*7 x 1*9. Why???
5. A = 1, B = 5, C = 7
73 x 75 x 77 = 421575
Hint: Find the cube root of 42005. Why???