NMC Sample Problems: Grade 5 - ksea.org

1 NMC Sample Problems: Grade 51.(123 + 124 + 125 + 126) 4 = ?124(a) (b) (c) (d)125(e)2.(11 + 22 + 33 + 44) (1 + 2 + 3 + 4) = ?10(a)11(b)12(c)22(d)121(e) 2 + 3 4 + 5 + 17 18 + 19 = ? 10(a) 1(b)1(c)10(d)28(e) 3 52 6 10 8 95 6= ?310(a)415(b)815(c)320(d)625(e) is the value of56 34+23 12? 14(a)14(b)34(c) 112(d)512(e) is the value of 23,456 + 15,743 3,894 expressed to the nearest thousand?34,000(a)34,300(b)35,000(c)35,3 00(d)36,000(e) of the following numbers is closest to 15? (a) (b) (c) (d) (e) of the following is equal to 95 33?(95 30) + (95 3)(a)(90 30) + (5 3)(b)(95 30) + (5 33)(c)(95 3) + (95 3)(d)(90 30) + (95 33)(e) 4 more than twice a number is 28, what is the number ?10(a)11(b)12(c)13(d)14(e)1 of 9 NMC Sample ProblemsGrade two positive whole numbers, their sum is 11 and their product is 24.

2 What is the larger number?3(a)4(b)6(c)8(d)12(e) Jungho runs 114miles every day, how many miles does he run in 20 days?5(a)10(b)15(c)20(d)25(e) did babysitting for 3 hours a day, 5 days a week for 8 weeks over the summer. How manyhours did she work for the babysitting?16(a)40(b)64(c)120(d)125(e) many minutes are there in one day?24(a)144(b)720(c)1440(d)7200(e) is the value ofnfor 11 + 22 + 33 + 44 + 55 = 11 n?15(a)16(b)17(c)18(d)19(e) is the difference between (1 + 2 + 3 + 4 + + 49 + 50) and (51 + 52 + 53 + 54 + + 99 + 100)?250(a)750(b)1250(c)2500(d)5050(e) sum of five consecutive whole numbers is 2015. What is the smallest number among the fivenumbers?401(a)402(b)403(c)404(d)405( e) gallon of fat-free milk cost $ If it cost 5% less a year ago, how much did it cost a year ago?

3 (a) (b) (c) (d) (e) 30% of 20 is same as 50% ofx, what is the value ofx?5(a)6(b)8(c)12(d)15(e) needs 50 slices of pizza for a party. If each pizza is cut into 8 slices, at least how many pizzadoes she need?4(a)5(b)6(c)7(d)8(e)2 of 9 NMC Sample ProblemsGrade uses 3 pounds of meat to make 8 hamburgers for her family. How many pounds of meat doesshe need to make 24 hamburgers for a neighborhood picnic?6(a)623(b)712(c)8(d)9(e) divided his souvenir hat pins into two piles. The two piles had an equal number of Jisung gave his brother two-thirds of one pile, he had 24 pins left. How many pins did Jisunggive to his brother?8(a)9(b)10(c)11(d)12(e) puts some of his marbles into red and blue jars. First, he puts a half of the total marblesinto the red jar. Then, he puts13of the remaining marbles into the blue jar.

4 If there are 12remaining marbles, what is the total number of Chanho s marbles?12(a)20(b)24(c)36(d)42(e) is riding a bike at the speed of 300 m/min. This speed equals to ? (a)300(b)500(c)3000(d)5000(e) of the following has the largest value? (a) + (b)1435+ 1323(c)280 (d)(13 + 7) 75(e) is the digit in the ones place of the following?(7 7 7 7 7) (7 7 7 7 7) (7 7 7 7 7) (7 7 7 7 7)1(a)2(b)3(c)7(d)9(e) 23+ 23+ 23+ 23= 2n, what isn?4(a)5(b)6(c)7(d)8(e) cubic number is of the formm3for some natural numberm. For example, 8 is a cubic numberbecause 8 = 2 2 2 = 23. How many cubic numbers exist between 2 and 999?six(a)seven(b)eight(c)nine(d)ten(e) how many pairs of positive integers add up to 100. For example, there are three pairs ofpositive integers add up to 6:1 + 5 = 62 + 4 = 63 + 3 = 648 pairs(a)50 pairs(b)52 pairs(c)58 pairs(d)60 pairs(e)3 of 9 NMC Sample ProblemsGrade artist wants to paint a picture on a canvas where the length of the canvas is 6 more inches thantwice the width.

5 If the total perimeter of the canvas is 108 inches, what is the length of the canvas(in inches)?16(a)30(b)38(c)54(d)None of these(e) students took a math exam. 10% of them scored at least 90 points, 20% scored at least 80 butless than 90 points. How many students have scored less than 80 points?14(a)21(b)28(c)49(d)56(e) average of Sue s three tests is 85. Each test is worth 100 points. What score does she have tomake on her 4th test to get an average of 87?87(a)90(b)93(c)95(d)97(e) the average of five distinct positive whole numbers is 20 and the least value of the numbers is15, what is the greatest possible value of the numbers?20(a)24(b)30(c)34(d)66(e) has a total of $ , consisting of an equal number of quarters, dimes, nickels, and many coins does she have in all?

6 10(a)40(b)100(c)200(d)400(e) has total 50 coins, 10 of each dollars, quarters, dimes, nickels, and pennies. If he pays forthree pens which cost 62 cents each by these coins, what is the least number of coins he can use?5(a)6(b)7(c)8(d)9(e) a positive whole number is divided by 7, the remainder is 2. When the same number isdivided by 5, the remainder is also 2. What is the least possible number?30(a)37(b)44(c)65(d)72(e) are three clocks that bell every 4 minutes, 6 minutes, and 10 minutes, respectively. If allthree clocks bell together at 3:00 , when will they bell all together next time?3:30 (a)3:40 (b)4:00 (c)5:00 (d)7:00 (e) a train departed Boston at 9:45 , and arrived at New York City at 1:25 , how long didthe trip take?4 hours 15 minutes(a)4 hours 40 minutes(b)3 hours 15 minutes(c)3 hours 30 minutes(d)3 hours 40 minutes(e)4 of 9 NMC Sample ProblemsGrade are 5 strawberry candies for every 3 chocolates.

7 If there is a total of 64 strawberry candiesand chocolates, what is the number of chocolates?24(a)22(b)20(c)32(d)40(e) a party, if Sungho gives 1 candy to each guest, 10 candies would be left over. If he gives 2candies to each guest, 4 more candies would be need. What is the number of guests?10(a)14(b)16(c)18(d)20(e) is 4 years older than her younger sister. If the sum of their ages is 20, what is Hana s age?6(a)8(b)10(c)12(d)14(e) was the 6th in a line. Amy was the 8th in the same line but counted from the opposite endof the line. If there were 3 children between Joan and Amy, how many children were in the line?11(a)14(b)17(c)18(d)20(e) wants to fence a rectangular area for her dog. The area to be fenced is 40 feet long and35 feet wide.

8 If there is a fence post at each corner and any two consecutive fence posts are placed5 feet apart each other, how many posts will she need?29(a)30(b)31(c)32(d)34(e) numbers below is formed by concatenating whole numbers from 1 to 50:1234567891011121314 is the 50th digit from the left? For example, the 11th digit from the left is (a)1(b)2(c)3(d)4(e) are 30 students on a school bus. 10 students wear hats. 12 students wear eye glasses. Onlyfive students wear both eye glasses and hats. How many students wear neither hats nor eye glasses?7(a)13(b)15(c)17(d)23(e) a math team, there are 12 seniors, 10 girls, 7 senior girls, and 4 junior boys. What is the totalnumber of seniors and juniors in the math team?24(a)22(b)20(c)19(d)18(e)5 of 9 NMC Sample ProblemsGrade total number of red, blue, and yellow marbles in a jar is 24.

9 The number of red marbles is3 times the number of blue marbles. If the number of yellow marbles is divided by 6, what is thenumber of red marbles?3(a)4(b)6(c)9(d)12(e) the ratio of boys and girls in a club is 5:8, which of the following is a possible number of studentsin the club?28(a)32(b)36(c)38(d)39(e) all club members attend a meeting, the ratio of boys and girls in a club is 6:5. If 2 boys and 5girls are absent from a meeting, the ratio of boys and girls becomes 2:1. How many boys are in theclub when everyone attend a meeting?6(a)8(b)10(c)12(d)18(e) digits 1, 2, 3, 4 and 5 are each used once to form the smallest possible five-digit even is the digit in the tens place?1(a)2(b)3(c)4(d)5(e) we throw three dice that have numbers 1 to 6 on their surfaces and add numbers on each top,how many different sums can we get?

10 14(a)15(b)16(c)17(d)18(e) are 20 animals available for adoption at PetSmart, 12 dogs and 8 cats. If Wilson wishes toadopt two animals, how many ways can he choose 1 dog and 1 cat?20(a)24(b)80(c)96(d)None of these(e) are 6 people in a room and each person shakes hands with every other person exactly onetime. How many handshakes will there be?10(a)15(b)18(c)24(d)30(e) we rearrange the digits 1, 2, 3 and 4 to form four-digit numbers, how many different numbersthat are greater than 4000 can we make?6(a)8(b)12(c)18(d)24(e) the tick marks in the number line below are equally spaced, what is the value ofx?3x7323(a)335(b)425(c)435(d)523(e)6 of 9 NMC Sample ProblemsGrade perimeter of a square is 20 cm. What is the area of a square with twice that perimeter?25(a)50(b)100(c)200(d)400(e) distance between pointsAandBis 10.