Mathcounts review 1-6

How many trailing zeros are there in the number

 $3^{19}\cdot5^8\cdot4^2\cdot20^3$  ?

What is the sum of the digits in the number

 $3^3\cdot5^{208}\cdot8^{70}$  ?

What is the smallest number, only made with 5s and 2s as digits, that is divisible by 18?

Tags

CCSS.3.OA.D.9

What is the remainder when

 $2001\cdot2002\cdot2003$  is divided by 4?

Tags

CCSS.4.NBT.B.6

Write 37 base 10, in base 5. (write only the number part, no base symbol)

Tags

CCSS.4.OA.B.4

The solutions to the quadratic

 $2x^2-3x-4$   are in the form  $\frac{i\pm\sqrt{j}}{k}$  What is i+j+k?

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What is the sum of the solutions to the equation  $3x^2-18x-\sqrt{\int_x^{\pi}\log_x\frac{\text{d}x}{\text{d}y}e^2\prod_x^{12}x^{\pi}}=0$  

Tags

CCSS.HSA-REI.B.4B

If a and b are the real solutions to  $x^6+7x^3-8$  what is a+b?

The ratio of the length of the side of square A to the side of square B is 3:5. If the ratio between the areas of square A and square B is  $i:j$ , what is  $i\cdot j$  ?

Tags

CCSS.7.G.A.1

What angle do the minute and hour hands make at 6:50?

Tags

CCSS.3.MD.A.1