Identifying Relevant Information

Help Questions

SSAT Middle Level: Quantitative › Identifying Relevant Information

Questions 1 - 10
1

At a mall, Jordan buys a $12$ notebook and a $20$ hoodie with $25%$ off. The store charges $8%$ sales tax on the discounted total. A $15$ hat is full price, but Jordan does not buy it. Jordan also has a $5$ gift card to use. Which steps are necessary to find the final amount Jordan pays?

Add the original prices, then subtract $25%$ at the end

Ignore the hat, discount hoodie, add items, apply tax, use gift card

Apply tax first, then take $25%$ off the taxed total

Use the hat price to estimate, then add the gift card value

Explanation

This question tests middle school problem-solving skills, specifically identifying relevant information and planning a solution path in word problems. This skill involves discerning necessary details from extraneous data and logically sequencing steps to solve problems, crucial for real-world applications. In this scenario, Jordan buys a notebook ($12) and a hoodie ($20 with 25% off), pays 8% tax on the discounted total, and uses a $5 gift card - the $15 hat is irrelevant since it's not purchased. Choice B is correct because it accurately identifies the steps: ignore the unpurchased hat, discount the hoodie (25% off $20 = $5 off, so $15), add the notebook and discounted hoodie ($12 + $15 = $27), apply 8% tax ($27 × 1.08 = $29.16), then subtract the gift card ($29.16 - $5 = $24.16). Choice A incorrectly suggests discounting the total at the end rather than just the hoodie, while Choice C wrongly applies tax before the discount. To help students: teach them to identify what's actually purchased versus what's just mentioned, practice breaking down multi-step problems systematically, and emphasize reading carefully for specific discount applications.

2

For a bake sale, students make $60$ cupcakes and sell them for $1.50$ each. Ingredients cost $28$, and table rental costs $12$. They also print $20$ flyers for $0.10$ each. A talent show was planned but not held. What data is irrelevant to solving this question?

The number of cupcakes and price per cupcake

The ingredient cost and the table rental cost

The planned talent show that was not held

The flyer cost and number of flyers printed

Explanation

This question tests middle school problem-solving skills, specifically identifying relevant information and planning a solution path in word problems. This skill involves discerning necessary details from extraneous data and logically sequencing steps to solve problems, crucial for real-world applications. For the bake sale profit calculation, we need revenue (60 × $1.50 = $90) minus costs (ingredients $28 + table $12 + flyers 20 × $0.10 = $2, total $42), giving $48 profit. Choice A is correct because the planned but not held talent show is completely irrelevant to the bake sale calculations - it doesn't affect revenue or costs. Choices B, C, and D all identify information that is actually needed: ingredient and table costs affect expenses, cupcake count and price determine revenue, and flyer costs are part of expenses. To help students: teach them to identify what actually happened versus what was merely planned, practice distinguishing between related and unrelated events, and emphasize focusing on the specific activity being analyzed.

3

A class buys $4$ science kits at $\$18$ each and gets $15%$ off the kits. Shipping is $$12$, and tax is $5%$ on the discounted kits only. A different kit costs $\$25$ but is out of stock. The teacher brings $10$ markers from home. Which details are critical to finding the answer?

Only the $5%$ tax rate and the $\$12$ shipping fee

Out-of-stock kit price and number of markers brought

Kit count and price, discount rate, shipping, and tax rule

Add shipping to kits first, then take $15%$ off everything

Explanation

This question tests middle school problem-solving skills, specifically identifying relevant information and planning a solution path in word problems. This skill involves discerning necessary details from extraneous data and logically sequencing steps to solve problems, crucial for real-world applications. The class's total cost requires: kit cost (4 × $18 = $72), apply 15% discount to kits ($72 × 0.85 = $61.20), add shipping ($12), apply 5% tax to discounted kits only ($61.20 × 0.05 = $3.06), for a total of $61.20 + $12 + $3.06 = $76.26. Choice B is correct because it identifies all critical components: kit count and price for the base cost, discount rate for savings, shipping as an additional cost, and the tax rule specifying tax applies only to discounted kits. Choice A incorrectly includes irrelevant information about out-of-stock items and markers, Choice C omits crucial kit information, and Choice D suggests an incorrect calculation sequence. To help students: teach careful reading of tax and discount applications, emphasize identifying what's actually purchased versus mentioned, and practice multi-step problems with conditional rules.

4

Leah buys $3$ pens at $\$2$ each and a binder for $$8$. She has a coupon for $10%$ off the binder only. Sales tax is $6%$ on the total after the coupon. A notebook costs $\$5$ but she leaves it behind. What is the first step in solving this problem?

Add the notebook price to make the total more accurate

Apply $6%$ tax to $\$8$ before using the coupon

Ignore the notebook and find the binder’s discounted price

Round all prices to the nearest $\$10$ for easier math

Explanation

This question tests middle school problem-solving skills, specifically identifying relevant information and planning a solution path in word problems. This skill involves discerning necessary details from extraneous data and logically sequencing steps to solve problems, crucial for real-world applications. Leah's purchase involves pens (3 × $2 = $6), a binder ($8 with 10% off), and 6% tax on the discounted total - the unpurchased notebook is irrelevant. Choice B is correct as the first step because it properly identifies ignoring the unpurchased notebook and focusing on finding the binder's discounted price (10% off $8 = $0.80 off, so $7.20). Choice A incorrectly suggests applying tax before the coupon discount, Choice C wrongly includes the unpurchased notebook, and Choice D suggests unnecessary rounding. To help students: teach them to identify the logical sequence of operations (discounts before tax), emphasize reading for what's actually purchased, and practice breaking complex problems into ordered steps starting with identifying relevant items.

5

A builder needs $30$ wooden boards at $\$4$ each and $2$ buckets of nails at $$9$ each. A different type of board costs $\$6$ each but is not used. Delivery is a flat $$15$ fee. The work will take about $3$ hours. Which details are critical to finding the total material cost?

Add all board types, then remove the unused ones later

Use only the $\$6$ boards because they cost more

Include the $3$ hours to convert time into dollars

Boards used, nail buckets, and the $\$15$ delivery fee

Explanation

This question tests middle school problem-solving skills, specifically identifying relevant information and planning a solution path in word problems. This skill involves discerning necessary details from extraneous data and logically sequencing steps to solve problems, crucial for real-world applications. The builder's material cost includes only what's actually used: 30 boards at $4 each ($120), 2 nail buckets at $9 each ($18), and the $15 delivery fee - the $6 boards and work time are irrelevant. Choice C is correct because it identifies exactly these three cost components: boards used + nail buckets + delivery fee = $120 + $18 + $15 = $153. Choice A incorrectly suggests including work time in material costs, Choice B focuses on unused expensive boards, and Choice D suggests an inefficient approach of adding then subtracting. To help students: teach them to distinguish between material costs and labor time, emphasize reading for what's actually purchased versus what's merely mentioned, and practice categorizing different types of expenses in construction problems.

6

A flight lasts $3$ hours $20$ minutes, then there is a $1$ hour $5$ minute layover. The next flight lasts $1$ hour $40$ minutes. The airport has a $9$ AM yoga class and a $\$7$ smoothie. Which steps are necessary to find the total trip time?

Convert smoothie cost into minutes, then add

Subtract layover time from the second flight duration

Add both flight durations and the layover duration

Add yoga class time to the first flight duration

Explanation

This question tests middle school problem-solving skills, specifically identifying relevant information and planning a solution path in word problems. This skill involves discerning necessary details from extraneous data and logically sequencing steps to solve problems, crucial for real-world applications. In this scenario, the problem involves flights, layovers, and unrelated airport activities. Choice A is correct because adding both flight durations and the layover provides the steps to find total trip time. Choice B is incorrect because adding yoga class time confuses activities with travel, a common error in sequencing. To help students: Teach them to focus on transit elements, convert all to minutes for addition, and ignore non-travel events. Watch for: students subtracting instead of adding or mixing costs with times.

7

Ella buys a $\$9$ book and a $$15$ game. The game is $20%$ off, and sales tax is $8%$ on the discounted subtotal. A $\$6$ magazine is on the shelf, and the cashier’s name is Sam. What information do you need to solve this problem?

Magazine price and cashier’s name

Cashier’s name and tax rate

Magazine price and discount rate

Book price, game price, discount rate, and tax rate

Explanation

This question tests middle school problem-solving skills, specifically identifying relevant information and planning a solution path in word problems. This skill involves discerning necessary details from extraneous data and logically sequencing steps to solve problems, crucial for real-world applications. In this scenario, the problem involves buying items with discounts, taxes, and unrelated details like a magazine and cashier name. Choice A is correct because book price, game price, discount rate, and tax rate are essential for computing the total payment. Choice B is incorrect because magazine price and cashier’s name are irrelevant, a common mistake when including all mentioned elements. To help students: Teach them to identify cost-affecting factors, ignore personal or unrelated facts, and practice subtotal calculations. Watch for: students confusing shelf items with purchases or skipping discount applications.

8

At a bake sale, the class sells $45$ cupcakes for $\$2$ each and $30$ cookies for $$1$ each. Ingredients cost $\$38$ total, and they rent a table for $$12$. A DJ offers music for $\$20$, but they do not hire one. What data is irrelevant to solving this question?

Ingredient cost and table rental fee

DJ music cost that was not used

Cookie price and number sold

Cupcake price and number sold

Explanation

This question tests middle school problem-solving skills, specifically identifying relevant information and planning a solution path in word problems. This skill involves discerning necessary details from extraneous data and logically sequencing steps to solve problems, crucial for real-world applications. In this scenario, the problem details a bake sale with sales, costs, and an unused service offer. Choice C is correct because the DJ music cost that was not used is irrelevant to calculating profit from actual sales and expenses. Choice D is incorrect because ingredient and table costs are essential, not irrelevant, a common confusion when distinguishing used versus unused elements. To help students: Teach them to separate actual from potential costs, list revenues and expenses clearly, and verify irrelevance by checking impact on the total. Watch for: students mistakenly excluding necessary costs or including unpursued options.

9

For a school fundraiser, the band sells $200$ tickets at $\$4$ each. Renting speakers costs $$110$, and printing tickets costs $\$25$. They also plan a halftime game, but it is free to play. Which steps are necessary to find the fundraiser profit?

Add all costs, then divide by $200$

Multiply ticket price by tickets sold, then subtract total expenses

Subtract expenses from ticket price, then multiply by $200$

Add the free game value to revenue, then subtract expenses

Explanation

This question tests middle school problem-solving skills, specifically identifying relevant information and planning a solution path in word problems. This skill involves discerning necessary details from extraneous data and logically sequencing steps to solve problems, crucial for real-world applications. In this scenario, the problem details a ticket-selling fundraiser with expenses and a free activity. Choice B is correct because multiplying ticket price by tickets sold, then subtracting expenses, finds profit accurately. Choice C is incorrect because adding the free game's value assumes revenue, a common misinterpretation. To help students: Teach them to calculate revenue from sales, list and sum expenses, then subtract. Watch for: students incorporating free elements as costs or revenues incorrectly.

10

To build a small garden bed, Nina buys $6$ bags of soil at $\$4.50$ each and $12$ bricks at $\$1.25$ each. The store offers $15%$ off bricks only, and delivery is $\$10$. She also looks at $$30$ stepping stones but buys none. Which steps are necessary to find the total cost?

Include stepping stone price, then add delivery fee

Add delivery fee, then apply $15%$ off everything

Add soil and brick costs, then subtract $15%$ from the total

Discount only the bricks, add soil, then add delivery fee

Explanation

This question tests middle school problem-solving skills, specifically identifying relevant information and planning a solution path in word problems. This skill involves discerning necessary details from extraneous data and logically sequencing steps to solve problems, crucial for real-world applications. In this scenario, the problem details garden purchases with item-specific discounts, delivery, and unpurchased items. Choice B is correct because it sequences discounting only the bricks, adding soil, and including delivery to find the total cost accurately. Choice D is incorrect because it includes the unpurchased stepping stones, a common error when students add all listed prices without filtering. To help students: Teach them to apply discounts selectively, list steps in order like discount then add fees, and cross out irrelevant items. Watch for: students applying discounts broadly or forgetting additional fees like delivery.

Page 1 of 3