TCS Math Team Tournament Practice Problems

8 × (16 ÷ 4) + 6²

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CCSS.7.NS.A.3

(9+2)×(15−5)÷5

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CCSS.7.NS.A.3

(40 ÷ 5) × (10 - 6) + 7²

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CCSS.5.OA.A.1

CCSS.5.OA.A.2

20 + (72 ÷ 9) × (6 - 3)

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CCSS.5.OA.A.1

CCSS.5.OA.A.2

240 ÷ (30 - 10) + 4³

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CCSS.7.NS.A.3

What is the sum of the first six prime numbers?

Tags

CCSS.7.EE.B.3

Jenny has a green hat, a blue hat, a purple hat, and an orange hat. She also has a green scarf, a blue scarf, and a black scarf. How many different hat-and-scarf combinations can she wear if she cannot wear a hat and scarf of the same color together?

Tina went to a book fair with some money. At the first stall, she spent 1/3 of her money. Then, at the second stall, she spent 1/2 of what she had left. After both stops, she had $20 remaining. How much money did she have at the beginning?

Tags

CCSS.7.NS.A.3

Mr. Johnson designed a rectangular garden that measures 30 feet by 20 feet. He allocated 1/4 of the garden for roses and 1/6 for tulips. How many square feet are left for planting other flowers?

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CCSS.5.NF.B.4B

For a school fundraiser, the student council hosted an Amazing Cupcake Decorating Contest. Every contestant paid an entry fee of $5 when they submitted their decorated cupcake. Here’s how the cupcakes were divided:

• Half of the cupcakes had sprinkles.

• One quarter had chocolate icing.

• One eighth had fruit topping.

• One sixteenth had nut decorations.

• Exactly 10 cupcakes were plain.

The best-decorated cupcake won a top prize of $30, and the runner-up won a $3 gift card for the local bakery. If the only expense was the money spent on prizes, how much money did the student council raise for the fundraiser?

Tags

CCSS.7.EE.B.3