2024/25 - Enrichment Challenge #5 ('12E)

Ralph used 10 blocks to build a 4-step stair. How many more blocks does he need to upgrade it to an 8-step stair?

Mathematical Equivalence

ON

Tags

CCSS.3.NBT.A.2

CCSS.3.OA.D.8

Ashton, Bryan and Riley went to the Independence Day parade together. One of them wore a red hat, the second one wore a while hat, and the third on wore a blue hat. Ashton wore either the red or the blue hat. Bryan wore neither the red nor the white hat. What color of hat did Riley wear?

Fred the frog is in a pond with 4 lily pads labeled A, B, C and D. He plans to begin on lily pad A, visit lily pads B, C and D each once, they return back to lily pad A. In how many different orders can he visit the lily pade as he plans?

Mathematical Equivalence

ON

Tags

CCSS.HSS.CP.B.9

Evelyn, Lily, Camilla and Grace went apple picking together. After they counted all the apples they picked, they agreed on the following facts.

*40% of the number of apples Evelyn picked is the same as 30% of the number of apples Lily picked.

*50% of the number of apples Lily picked is the same as 25% of the number of apples Grace picked.

*18% of the number of apples Camilla picked is the same as 20% of the number of apples Grace picked.

Who picked the most number of apples?

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

In the addition problem above, the same letter represents the same digit and different letters represent different digits. What digit does U represent?

Mathematical Equivalence

ON

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

On a test, Rachael missed 5 out of the first 20 questions. However she answered the remaining questions correctly. Overall, she answered 90% of the questions correctly. How many questions were on the test altogether?

Mathematical Equivalence

ON

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.A.2

A grocery store sells brown rice in 3-pound bags and white rice in 5-pound bags. Katrina bought a total of 22 pounds of rice. How many bags of rice did she buy?

Mathematical Equivalence

ON

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.A.2

Five horses are in a race. In how many possible ways will 1st, 2nd and 3rd places be awarded if there are no ties in the race?

Mathematical Equivalence

ON

Tags

CCSS.HSS.CP.B.9

The coordinates of A, B and C are (0,4), (4,6) and (2,0) respectively. What is the area of triangle ABC?

Mathematical Equivalence

ON

Tags

CCSS.6.G.A.1

Students in Mr. Walker's classroom had an estimation contest. The student whose estimate is the closest to the number of marbles in a jar wins the contest. Vicki, who estimated 135 marbles, won the contest. Timothy, who estimated 150, got second place. Lyon who estimated 152, got third place. And Quinn, who estimated 131, got fourth place. What is the exact number of marbles in the jar?

Mathematical Equivalence

ON

Tags

CCSS.4.OA.A.3